3 FACULTY OF BUSINESS, ECONOMICS AND SOCIAL SCIENCES HOHENHEIM DISCUSSION PAPERS IN BUSINESS, ECONOMICS AND SOCIAL SCIENCES Institute of Economics DISCUSSION PAPER 0 -2017 $8720$7,21$1' '(02*5$3+,&&+$1*( $QD$EHOLDQVN\ University of *|WWLQJHQ .ODXV3UHWWQHU State: 0DUFK 2017 University of +RKHQKHLP www.wiso.uni-hohenheim.de Discussion Paper 05-2017 Automation and demographic change Ana Abeliansky, Klaus Prettner Download this Discussion Paper from our homepage: https://wiso.uni-hohenheim.de/papers ISSN 2364-2076 (Printausgabe) ISSN 2364-2084 (Internetausgabe) Die Hohenheim Discussion Papers in Business, Economics and Social Sciences dienen der schnellen Verbreitung von Forschungsarbeiten der Fakultät Wirtschafts- und Sozialwissenschaften. Die Beiträge liegen in alleiniger Verantwortung der Autoren und stellen nicht notwendigerweise die Meinung der Fakultät Wirtschafts- und Sozialwissenschaften dar. Hohenheim Discussion Papers in Business, Economics and Social Sciences are intended to make results of the Faculty of Business, Economics and Social Sciences research available to the public in order to encourage scientific discussion and suggestions for revisions. The authors are solely responsible for the contents which do not necessarily represent the opinion of the Faculty of Business, Economics and Social Sciences. Automation and demographic change Ana Abelianskya and Klaus Prettnerb a) University of Göttingen Department of Economics Platz der Göttinger Sieben 3 37073, Göttingen, Germany email: [email protected] b) University of Hohenheim Faculty of Economics and Social Sciences Schloss, Osthof-West 70593 Stuttgart, Germany email: [email protected] Abstract We analyze the effects of declining population growth on the adoption of automation technology. A standard theoretical framework of the accumulation of traditional physical capital and of automation capital predicts that countries with a lower population growth rate are the ones that innovate and/or adopt new automation technologies faster. We test the theoretical prediction by means of panel data for 60 countries over the time span from 1993 to 2013. Regression estimates provide empirical support for the theoretical prediction and suggest that a 1% increase in population growth is associated with approximately a 2% reduction in the growth rate of robot density. Our results are robust to the inclusion of standard control variables, the use of different estimation methods, the consideration of a dynamic framework with the lagged dependent variable as regressor, and changing the measurement of the stock of robots. JEL classification: J11, O14, O33, O40. Keywords: Automation, Industrial Robots, Demographic Change, Declining Population Growth, Economic Growth. 1 1 Introduction Industrialized countries have experienced substantial declines in fertility and in birth rates over the last few decades. For example, in the United States, the total fertility rate (TFR) fell from 3.33 children per woman in the period 1950-1955 to 1.89 children per woman in the period 2010-2015. Over the same time span, the crude birth rate (CBR) decreased from 24.4 children per 1000 inhabitants to 12.6 children per 1000 inhabitants (see The United Nations, 2015, and Table 1 in which we depict the situation in the G7 countries). These demographic changes have already had a pronounced effect on the evolution of the labor force. Furthermore, the relatively larger cohorts that entered the labor markets of these countries in the 1960s and 1970s are now starting to reach the retirement age such that a substantial decline in the working-age population is most likely to prevail in the coming decades. There are many concerns among economists regarding the long-run consequences of the mentioned demographic developments. For example, it is often argued that social security systems and retirement schemes would need to be reformed to ensure that they are accurately financed in the future when fewer and fewer workers will have to support ever more retirees (see Gruber and Wise, 1998; Bloom et al., 2010; The Economist, 2011), there are concerns that investment rates will decline when the retiring cohorts run down their assets (Mankiw and Weil, 1989; Schich, 2008), and some are afraid that the innovative capacity of aging societies will decline (see, for example, Canton et al., 2002; Borghans and ter Weel, 2002; Irmen and Litina, 2016; Gehringer and Prettner, 2017). Some commentators have even gone so far as to argue that aging is a “threat more grave and certain than those posed by chemical weapons, nuclear proliferation, or ethnic strife” (Peterson, 1999). Table 1: TFR in the G7 countries 1950-1955 and 2010-2015 (United Nations, 2015) Country Canada France Germany Italy Japan U.K. USA TFR 1950-1955 3.65 2.75 2.13 2.36 3.00 2.18 3.33 TFR 2010-2015 1.61 2.00 1.39 1.43 1.40 1.92 1.89 CBR 1950-1955 27.4 19.1 15.6 18.2 23.8 15.1 24.4 CBR 2010-2015 10.9 12.4 8.3 8.6 8.3 12.6 12.6 As far as the expected labor shortages due to population aging are concerned, there is a silver lining on the horizon. In recent years, robots have started to take over many tasks that have previously been regarded as non-automatable and it is expected that this trend will continue in the future (see Frey and Osborne, 2013; Arntz et al., 2016; Acemoglu and Restrepo, 2017, for different views on the extent of this development and for a discussion on how automation could alleviate the burden of population aging). Very 2 prominent examples that have received an extensive media coverage in recent years are autonomous cars and lorries that could soon transport passengers and goods without the need to rely on the (usually highly imperfect) driving skills of humans (fully automated food deliveries are already present in some cities, see El Pais, 2016); 3D printers are starting to produce highly specialized products – that could not be mass-manufactured before and which therefore required a lot of specialized human labor input – at a large scale; software based on machine learning is now already able to more reliably diagnose diseases than doctors; and even the skills of authors become more and more obsolete as algorithms are able to write newsflashes, reports, and even novels on their own.1 Admittedly, it is still a much bigger pleasure to read “Anna Karenina” than “True Love” (a novel written by an algorithm programmed to rewrite Anna Karenina in the style of the Japanese author Haruki Murakami; see Barrie, 2014). However, things might change quite fast and maybe we will some day find out how “The Castle” or “The Man Without Qualities” could have come to an end – hopefully in the style of Kafka and Musil, respectively. The paper is structured as follows. In Section 2, we provide some theoretical considerations on the potential effects of automation in the face of the demographic changes outlined in the introduction and we assess for which countries with a given demographic structure the adoption of robots is most likely to occur at a fast rate. In Section 3 we test the theoretical predictions empirically and in Section 4 we discuss our results and draw some policy conclusions. 2 Declining population growth and automation: Theoretical considerations 2.1 Basic assumptions Consider an economy with three production factors, human labor, traditional capital (machines, assembly lines, production halls, office buildings, etc.), and automation capital (robots, 3D printers, driverless cars, devices based on machine learning, etc). Time t evolves discretely such that one time step corresponds to approximately 25 years and the population grows at rate n between time t and time t + 1. Traditional capital and automation capital can be accumulated and they fully depreciate over the course of one generation. Human labor and traditional physical capital are imperfect substitutes, while automation capital is – by its definition – a perfect substitute for labor. Note the special and non-standard role that automation capital plays in such a setting: on the one hand, it performs the tasks of human labor and therefore constitutes a perfect substitute for this production factor; on the other hand, its accumulation resembles the process of standard physical capital accumulation and the income stream that automation capital generates 1 See, for example, The Economist (2014), Abeliansky et al. (2015), Lanchester (2015), Graetz and Michaels (2015), Brynjolfsson and McAfee (2016), and Prettner (2017) on different aspects of automation and on new developments 3 flows to the capital owners/savers of an economy. Overall, we follow the simplified exposition of Solow (1956) and assume that households save a constant fraction s ∈ (0, 1) of their total income. The savings rate could also be endogenized along the lines of Ramsey (1928), Cass (1965), and Koopmans (1965) but this would mainly complicate the exposition without adding substantially new insights regarding the effect of demographic change on automation. In a very interesting contribution, Steigum (2011) analyzes the effects of automation capital that is a (potentially imperfect) substitute for human labor, on long-run economic growth.2 2.2 Households and population growth The population size is given by Nt and its evolution is governed by the difference equation Nt+1 = (1 + n)Nt , where n is the population growth rate. This rate is expected to fall in the future because of the demographic changes outlined in the introduction. We assume that there is inelastic labor supply of households and full employment such that the labor force at time t is also given by Lt ≡ Nt . Consequently, a reduction in the population growth rate translates into a reduction in the growth rate of the work-force which is realistic, although, of course, it typically requires a certain amount of time. We abstract from this delay and assume that the decline of the population growth rate also represents the decline in the work-force. Aggregate savings are given by St+1 = sNt and there are two savings vehicles, traditional physical capital and automation capital. As a consequence, there is a no-arbitrage condition that has to hold in any equilibrium in which individuals are investing in both types of assets. This condition states that the rates of return on traditional physical capital and on automation capital have to be equal. 2.3 Production and automation We follow Prettner (2017) and assume that the production function has a Cobb-Douglas structure with respect to human labor and traditional physical capital. However, the additional non-standard production factor “automation capital” is a perfect substitute for labor such that aggregate output is given by Yt = Ktα [Lt + Pt ]1−α , where Kt refers to traditional physical capital, Pt denotes automation capital, and α ∈ (0, 1) is the elasticity of output with respect to traditional physical capital. We abstract 2 Endogenizing the savings rate along the lines of Diamond (1965), however, runs into problems because the accumulation of automation capital reduces the wages of households in the first period of their lives and therefore reduces their savings capacity, which leads to a stagnation equilibrium (Sachs and Kotlikoff, 2012; Benzell et al., 2015; Sachs et al., 2015; Gasteiger and Prettner, 2017). However, it is more realistic that savings are not only made out of wage income but also out of capital income. 4 from factor-augmenting technological progress that would only act as an additional source of economic growth but it would not alter the crucial mechanisms in our framework.3 We assume that there is perfect competition on factor markets such that production factors are paid their marginal value product. Normalizing the price of final output to 1, the wage rate and the rates of return on the two types of capital are given by α Kt = (1 − α) , Lt + Pt α Kt , = (1 − α) Lt + Pt Lt + Pt 1−α = α , Kt wt autom Rt+1 = wt trad Rt+1 (1) (2) (3) autom is the gross interest rate paid on automation capital, which is equal to the where Rt+1 trad is the gross interest rate paid on traditional physical capital. While wage rate, and Rt+1 the effects of Kt and Lt on wages and on the rate of return on traditional physical capital are straightforward, we have a non-standard effect of the accumulation of automation capital: As Pt increases, the wage rate decreases because workers compete with automation capital, whereas the rate of return on traditional physical capital increases because automation capital substitutes for workers and therefore raises the productivity of traditional physical capital. Together with the fact that the income stream earned by automation capital flows to the capital owners this mechanism has the potential to explain the decrease in the labor income share that we have observed over the last few decades (Steigum, 2011; Prettner, 2017). It is important to note at this point, that, while automation reduces the marginal value product of labor and thereby the wage rate, labor productivity as measured by output per worker increases in the wake of automation. The no-arbitrage condition states that investments in both types of physical capital autom = Rtrad . Setting Equations have to yield the same rate of return, i.e., it holds that Rt+1 t+1 (2) and (3) equal to each other and solving for Kt and Pt , respectively, yields Pt = 1−α Kt − Lt α ⇔ Kt = α (Pt + Lt ). 1−α (4) Plugging the expression for traditional physical capital from Equation (4) into the aggregate production function provides Yt = α 1−α [Lt + Pt ], (5) where it is immediately clear that the standard convergence process to a stationary equi3 For an R&D-based endogenous growth model along the lines of Romer (1990) in which firms can invest in robot technology, see Hémous and Olsen (2016). In Acemoglu and Restrepo (2015) new tasks are constantly created by R&D, while, at the same time, old tasks are automated. Both of these papers focus on a different aspect of the rise of machines than the implications of demographic change for investments in (and the adoption of) automation technology. 5 librium with no long-run growth that we know from the Solow (1956) model without technological progress does not hold anymore. Instead, the production function has the potential to lead to long-run growth if the savings rate is large enough such that a positive accumulation rate of automation capital can be sustained (cf. Steigum, 2011; Prettner, 2017). Note that Equation (5) resembles the properties of an AK type of production structure. However, in contrast to standard AK type of growth models this is not due to an assumption that removes the diminishing marginal product with respect to physical capital but due to the structure of the production process as derived in the presence of automation capital.4 Allowing for a different rate of depreciation for traditional physical capital and for automation capital would leave our central results unchanged. The only difference would be that an additional constant term (the difference between the rates of depreciation between the two forms of capital) appeared in Equation (4) and in the derivations that are based on this equation. From Equation (5) it follows that per capita GDP is given by yt = α 1−α (pt + 1), where pt is the automation density in terms of automation capital per capita. We immediately see that the prosperity of a country is positively linked to its automation density. The intuitive explanation for this is clear. For a given population size, automation overcomes the diminishing marginal product of traditional physical capital that acts as a boundary for long-run economic growth in the standard Solow (1956) model (see Prettner, 2017, for the analysis of the implications of automation for long-run economic growth in such a setting). Once the tasks which could previously only be carried out by human labor are automated, the stock of labor becomes, essentially, a reproducible production factor. At the aggregate level, this implies that there are constant returns to scale with respect to all reproducible production factors such that automation creates the potential for long-run growth without additional factor-augmenting technological progress. Next, we analyze how the automation density itself depends on the demographic setting, which is our main question of interest that we analyze empirically in Section 3. 2.4 The effect of demographic change on automation density Since households save a constant fraction s ∈ (0, 1) of their total income Yt and the economy is closed, aggregate investment is It = sYt such that Kt+1 + Pt+1 = sYt . 4 Peretto and Saeter (2013) construct a long-run economic growth model in which firms can invest in technological progress that raises the productivity of physical capital by increasing the elasticity of final output with respect to physical capital. In the long-run limit, their aggregate production function converges to an AK type of production function and economic growth is perpetual. 6 Substituting for Kt+1 by the no-arbitrage relationship (4), for Yt by Equation (5), and dividing by the population size Nt+1 provides the following expression α(pt+1 + 1) + pt+1 = s 1−α α 1−α α 1 + pt . 1+n Solving this equation for the automation density in period t + 1 as a function of the automation density in period t and the parameter values of the model yields pt+1 = s(1 − α) α 1−α α 1 + pt − α. 1+n (6) From this equation it follows immediately that a country with a lower population growth rate will have a higher density of automation technology. We summarize this in the following proposition. Proposition 1. Consider a country in which the production structure is described by an aggregate production function of the form of Equation (5). Households save a constant fraction s ∈ (0, 1) of their total income (labor income and capital income in the form of traditional physical capital and automation capital), and the no-arbitrage condition (4) holds for both types of investments. In this case a country will have a higher density of automation capital if it has a lower population growth rate (n). Proof. Taking the derivative of Equation (6) with respect to n we get ∂pt+1 = −s(1 − α) ∂n α 1−α α 1 + pt < 0. (1 + n)2 Not that this expression is, in general, not equal to -1 such that our result is not just due to the fact that automation density is defined as the aggregate stock of robots divided by the population size. The intuition for this finding is the following: A country in which the population – and with it the labor force – grows fast, exhibits a comparably high rate of return on traditional physical capital and there is no need to invest in automation capital. In fact, in such a country, the rate of return on investment in automation capital tends to be rather low (think, for example, of African countries with a very fast population growth rate such as Mali and Niger: investing in automation would not be an attractive business strategy in these countries). By contrast, in a country in which the population – and with it the labor force – stagnates or even decreases, the rate of return on investment in automation is high and the rate of return on investment in traditional physical capital is rather low (think, for example, of aging European countries such as Germany and Italy and aging East Asian countries such as Japan and South Korea). Consequently, our theory predicts that the automation density is high in countries in which the growth rate of the population is low or even negative. 7 Table 2: Robot density and population growth in the top 10 countries with the highest robot density (International Federation of Robotics, 2015; United Nations, 2015) Country South Korea Japan Germany Italy Sweden Denmark United States Spain Finland Taiwan robot density per 10,000 employees in manufacturing 347 339 261 159 157 145 135 131 130 129 average population growth between 2010 and 2015 0.48% -0.12% 0.16% 0.07% 0.83% 0.42% 0.75% -0.21% 0.50% N/A Note: The robot density is measured in terms of robots per 10,000 employees in manufacturing in 2015. The population growth rate is calculated as the average population growth rate from 2010 to 2015. The data sources are (International Federation of Robotics, 2015; United Nations, 2015). A first glimpse on whether this is true is provided by Table 2 that depicts the robot density as of 2015 together with the average population growth rate in the preceding 5-year interval from 2010 to 2015 for the ten countries with the highest robot density. In general, we observe that the population growth rate in these countries is rather low and in some of them even negative. However, this could just be due to the fact that these countries are richer, implying that they have a lower fertility rate and that they are, at the same time, able to invest more in automation technology. In the next section we therefore test whether our theoretical implication is borne out by the data in a more thorough way. 3 Declining population growth and automation: Empirical results In this section we introduce the data, then we test Proposition 1 empirically, and finally we provide a number of robustness checks. 3.1 Data description The only available data-set so far to study the adoption of robots is the one collected by the International Federation of Robotics (IFR). The IFR reports the yearly delivery of “multipurpose manipulating industrial robots” as defined by the International Organization for Standardization5 for several countries, starting from 1993. We use the data until 2013 because the data for the year 2014 seem to be unreliable: There are several zeroes that look like reporting errors in comparison to previous values from the data series. In 5 This refers to “Manipulating industrial robot as defined by ISO 8373: An automatically controlled, reprogrammable, multipurpose manipulator programmable in three or more axes, which may be either fixed in place or mobile for use in industrial automation applications” (Graetz and Michaels, 2015; International Federation of Robotics, 2012). 8 the baseline specification we use 3 year averages of the data which provides us with 7 time periods. The sample includes 60 countries for which the data are available (for the list of countries see Table 9 in the Appendix). We had to combine the NAFTA countries (Canada, the United States, and Mexico) into one country because they report the values jointly until 2011. The IFR also reports the deliveries and stock of robots at the industry level. They consider that robots have a life-time horizon of 12 years, after which they are deployed (International Federation of Robotics, 2016). Following Graetz and Michaels (2015), we use an alternative way to calculate the stock of robots (for all robots and for the manufacturing industry) that relies on the perpetual inventory method under the assumption of a depreciation rate of 10%. Similar to Graetz and Michaels (2015), we prefer this method over the one used by the IFR because it is more in line with the standard economics literature. Since the IFR reports the stock of robots in 1993, this is our first value for the constructed series. Although all countries report the total stock of robots, not all of them report the stock nor the deliveries disaggregated at the industry level on a yearly basis. Given that we are mainly interested in the robots used in the manufacturing sector, we follow Graetz and Michaels (2015) and take the average share of deliveries of manufacturing robots over the total deliveries of robots (when the data are available), construct an average share, and impute the values for deliveries of manufacturing robots, as well as for the initial stock of robots (when the corresponding data were not available). In Table 8 in the Appendix we show the first reported year of robots’ data disaggregated by the industry level for the countries for which there were gaps in the reported data. In the following figures we show how the robot density has evolved between the first period of the sample (1993-1995) and the last one (2011-2013). We discriminate between percentiles with Figure 1 (covering the period 1993-1995) reporting in the lightest shade of blue for the 75th percentile, proceeding with the 90th percentile, the 95th percentile, and finally the last 5% of the distribution (there are a lot of zeroes in this period which is why we use the 75th percentile as the first cutoff). For comparison, in Figure 2 (covering the period 2011-2013) we use the same cutoffs as in the previous figure. We observe a strong increase in robot density, especially in Europe and South Asia. Similar figures but only for robots used in the manufacturing sector are displayed in the Appendix (Figures 3 and 4). We also collected information from the International Monetary Fund (IMF) on the investment share in terms of GDP. We constructed our investment variable summing the reported values of private investment, public investment, and joint ventures between the state and the private sector. As for other control variables, we included GDP per capita measured in constant US$ with a base year of 2010 from the World Development Indicators, openness measured as exports and imports over GDP, and the gross enrollment ratio in secondary school as in Busse and Spielmann (2006)6 . 6 The natural choice of a proxy variable for education would have been the mean years of schooling as reported by (Barro and Lee, 2013). However, this variable is only available in 5 year intervals. Another 9 Figure 1: Average robot density for the period 1993-1995 [0,.00012] (.00012,.0003] (.0003,.0005] (.0005,.003] No data Source: IFR and World Development Indicators. Note: The USA, Canada and Mexico have the same values because of the joint reporting. Figure 2: Average robot density in the period 2011-2013 [0,.00012] (.00012,.0003] (.0003,.0005] (.0005,.003] No data Source: IFR and World Development Indicators. Note: The USA, Canada and Mexico have the same values because of the joint reporting. 10 3.2 Empirical estimates Based on Proposition 1, we estimate the relationship between robots adoption and population growth by means of the following equation: ln(p̂i,t ) = c + α ln(ni,t−1 ) + β ln(si,t−1 ) + γ ln(xi,t−1 ) + dt + i,t , (7) where p̂i,t is the growth rate of the stock of robots (either manufacturing robots, or the total amount of robots), ni,t−1 is the population growth rate between period t-1 and t-2, si,t−1 is the investment rate in period t − 1, xi,t−1 is a vector of further control variables that will be used in the robustness analysis (i.e. GDP per capita), and dt are time-specific effects to control for events and trends that affect all countries in the same manner, for example, the global economic and financial crisis that started in 2007/2008. Since we have zeroes and negative values in the dependent variable and in the population growth rate, we employed the Box-Cox transformation (Box and Cox, 1964) instead of simply applying logarithms.7 We apply the logarithmic transformation because this alleviates concerns regarding heteroskedasticity and non-linearities in the non-transformed variables. We relied on 3-year averages to alleviate problems regarding measurement errors and businesscycle effects (while the economic growth literature usually relies on 5 year averages, we would only have 2 consecutive time periods left for estimation in this case). We first estimate Equation (7) using pooled OLS (POLS) and then proceed with a random-effects (RE) and a fixed-effects (FE) specification. Finally, we take the potential dynamics into account by including the lagged dependent variable in the regressions and applying various corrected fixed effects estimators (CorrFE) following Bruno (2005a,b), and the system GMM estimator [GMM (sys)] of Blundell and Bond (1998). Note that both of these types of estimators are seen as remedies for the Nickell (1981) bias in a dynamic panel data setting. We report the results for the total amount of robots and then also separately for the subset of manufacturing robots. Moreover, we assess the robustness of our results by adding a proxy for education, a proxy for GDP per capita, and a proxy for openness. In other robustness checks reported in the Appendix, we also consider different depreciation rates in the construction of the robot data series (5% and 15% instead of 10%), and a different transformation of the robot adoption and population growth rates [a neglog transformation as employed by Whittaker et al. (2005)]. Based on the theoretical considerations we expect to find a negative coefficient for the population growth rate that is smaller than -1 and a positive sign for the investment rate. When we include the controls, we expect a positive coefficient for GDP per capita because higher income implies a lower return to traditional capital accumulation and therefore alternative would have been to use the literacy rate but this is close to one in most countries of the sample and there are also a lot of missing values for this variable, so we decided to stick with the gross enrollment ratio (Busse and Spielmann, 2006, also uses this variable). 7 We created a new variable in the following manner: z = ln(growth rate − k), choosing k such that the skewness of z is zero. The correlation between the non-transformed variables and the variables in logarithms (naturally omitting the zeroes and the negative values) is 0.89. 11 a higher incentive to employ robots. Furthermore, a better educated population might be more inclined to invest in (or adapt to) robots such that he coefficient of education should also be positive. However, we have no a priori expectation regarding the sign of the coefficient for openness – on the one hand, as countries become more open, they could need fewer robots because domestic production could easier be substituted by imports; on the other hand, open economies are also subject to stronger international competition such that there is an incentive to automatize the production in search of efficiency gains. 3.2.1 Main Results Table 3 contains the regression outputs from a baseline specification of Equation (7). As regressors we include the two crucial variables that are suggested by our theoretical considerations in Equation (6), the population growth rate and the investment rate. We observe that there is a negative relationship between population growth and the growth rate of the robot density in all specifications and it is statistically significant in the majority of the cases. Only in column (1), which reports the POLS regression, we find the coefficient not to be statistically significant which is most likely due to the lack of accounting of country-level heterogeneity. Our results are robust to the dynamic specifications using the corrected fixed effects estimators, as well as the system GMM estimator. For the choice between corrected fixed effects and system GMM we prefer the corrected fixed effects specifications because Judson and Owen (1999) report that this estimator performs better when the amount of time periods is smaller than 10, which is the case in our sample. Although the lagged dependent variable is statistically significant, the size of the coefficient does not suggest strong evidence for the use of a dynamic specification. Our preferred specification is therefore the fixed effects regression because the Hausman test suggests that the results from the random effects specification are inconsistent and that we therefore the need to control for unobserved heterogeneity. The coefficient estimate for the population growth rate in case of the fixed-effects specification suggests that when population growth increases by 1%, the robot density growth will decrease by 2%. As far as the main control variable (the investment share) is concerned, we find the expected positive relationship, although it is not statistically significant. Table 4 shows the results for the growth rate of the manufacturing robot density. As in the previous case, we document a positive correlation, although not statistically significant, between the investment rate and the growth rate of the manufacturing robots density. We again find a negative association between the population growth rate and the robots density growth rate with the size of the coefficients being similar to the those reported in Table 3. In this case, there is even less evidence than before for the need of a dynamic specification because the coefficients of the lagged dependent variable are smaller in size and not even statistically significant in the case of the system GMM estimator. 12 Table 3: The relation between total robots growth and population growth (1) POLS (2) RE (3) FE (4) CorrFE (bb) (5) CorrFE (ab) (6) CorrFE (ah) (7) GMM (sys) 0.259*** (0.090) -1.803*** (0.562) 0.324 (0.340) 0.245** (0.0987) -1.828*** (0.557) 0.335 (0.341) 0.226** (0.111) -3.515*** (1.205) 0.115 (0.473) yes 0.922 0.623 60 300 p̂t−1 nt−1 st−1 Country FE Time FE AR(2) test Hansen test Countries Observations -0.539 (0.328) 0.063 (0.119) -0.694* (0.354) 0.090 (0.129) -2.030** (0.894) 0.419 (0.495) 0.316*** (0.779) -1.690*** (0.597) 0.304 (0.357) no yes no yes yes yes yes yes yes yes yes yes 60 300 60 300 60 300 60 300 60 300 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. Table 4: The relation between manufacturing robots growth and population growth (1) POLS (2) RE (3) FE (4) CorrFE (bb) (5) CorrFE (ab) (6) CorrFE (ah) (7) GMM (sys) 0.197** (0.086) -2.055*** (0.570) 0.146 (0.343) 0.180** (0.0914) -2.078*** (0.566) 0.155 (0.343) 0.120 (0.120) -3.908*** (1.237) 0.311 (0.401) yes 0.623 0.506 60 300 p̂t−1 nt−1 st−1 Country FE Time FE AR(2) test Hansen test Countries Observations -0.457 (0.336) 0.026 (0.095) -0.632* (0.368) 0.043 (0.101) -2.185** (0.973) 0.175 (0.490) 0.264*** (0.077) -1.950*** (0.613) 0.132 (0.365) no yes no yes yes yes yes yes yes yes yes yes 60 300 60 300 60 300 60 300 60 300 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. 13 3.2.2 Robustness Analysis As a first robustness check we control for three potential omitted variables: GDP per capita, openness of the economy, and secondary school enrollment. Omitting these variables could be a source of bias because GDP per capita might be correlated with the population growth rate due to the fact that richer countries are more able to invest in new technologies and they are also the ones that are disproportionally affected by declining fertility as outlined in Section 1; an open economy might be under more pressure to stay competitive, and, at the same time, smaller economies by means of the population size tend to be more open; and education is highly correlated with GDP per capita, while, at the same time, a better educated population might be more inclined to invest in (or adapt to) robots. Table 5: Total robots growth including controls (1) POLS (2) RE (3) FE (4) CorrFE (bb) (5) CorrFE (ab) (6) CorrFE (ah) (7) GMM (sys) 0.137 (0.085) -1.494** (0.704) -0.337 (0.443) 2.280*** (0.784) 0.111 (0.171) -0.136 (0.503) 0.140 (0.088) -1.485** (0.708) -0.336 (0.445) 2.283*** (0.787) 0.111 (0.171) -0.139 (0.506) 0.279 (0.202) -3.247* (1.879) -0.316 (0.485) -0.080 (0.421) 0.334 (0.244) -0.144 (0.795) yes 0.979 0.156 57 262 p̂t−1 nt−1 st−1 yt−1 et−1 opent−1 Country FE Time FE AR(2) test Hansen test Countries Observations -0.565 (0.379) 0.092 (0.130) -0.172** (0.073) 0.148 (0.180) 0.040 (0.142) -0.731* (0.422) 0.107 (0.134) -0.151** (0.073) 0.133 (0.176) 0.034 (0.155) -1.554** (0.689) -0.416 (0.556) 2.535*** (0.911) 0.112 (0.192) -0.088 (0.519) 0.210** (0.082) -1.377* (0.754) -0.377 (0.486) 2.316*** (0.883) 0.106 (0.185) -0.149 (0.552) no yes no yes yes yes yes yes yes yes yes yes 262 57 262 57 262 57 262 57 262 57 262 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. Table 5, which includes the mentioned control variables, shows again a negative correlation between robot density growth and population growth. The magnitude of the coefficients in the different specifications are marginally smaller than in the previous tables. However, except for the pooled OLS specification, they are statistically significant at the 5% or at the 10% level. One reason for this could be that we had to accept a reduction in the sample size because of several missing observations for the openness and the secondary enrollment variables. The coefficient estimate of the investment rate is still 14 Table 6: Manufacturing robots growth including controls (1) POLS (2) RE (3) FE (4) CorrFE (bb) (5) CorrFE (ab) (6) CorrFE (ah) (7) GMM (sys) 0.064 (0.079) -1.700** (0.703) -0.567 (0.441) 2.551*** (0.785) 0.174 (0.171) -0.033 (0.504) 0.60 (0.081) -1.697** (0.706) -0.570 (0.442) 2.580*** (0.787) 0.173 (0.171) -0.036 (0.507) 0.043 (0.131) -1.833 (1.218) -0.241 (0.349) -0.523*** (0.169) 0.352* (0.180) -0.392 (0.659) yes yes 57 262 yes yes 57 262 yes 0.720 0.234 57 262 p̂t−1 nt−1 st−1 yt−1 et−1 opent−1 Country FE Time FE AR(2) test Hansen test Countries Observations -0.472 (0.382) 0.061 (0.109) -0.197*** (0.068) 0.187 (0.175) 0.024 (0.148) -0.636 (0.422) 0.067 (0.108) -0.181*** (0.067) 0.182 (0.166) 0.021 (0.158) -1.726** (0.702) -0.646 (0.558) 2.617*** (0.841) 0.174 (0.174) 0.000 (0.515) 0.148* (0.078) -1.599** (0.771) -0.586 (0.496) 2.531*** (0.899) 0.171 (0.189) -0.059 (0.566) no yes 57 262 no yes 57 262 yes yes 57 262 yes yes 57 262 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. not statistically significant across the specifications, as in the previous case. In columns (1) and (2), GDP per capita has a negative sign, which is surprising given that we expect that richer countries would be able to invest more in new technologies. However, GDP per capita reverts its sign from column (3) onwards. We believe that the reason for this is the presence of unobserved heterogeneity, as also the Hausman test indicates. Secondary enrollment has the predicted sign, although it is not statistically significant. Finally, openness has a negative sign in most of the specifications although none of the coefficients is statistically significant. Finally, the coefficient size of the lagged dependent variable shows that there is no pressing need to take the dynamics into account in the regression. Turning to the manufacturing robots (Table 6), we observe a similar pattern as for the case of total robots. All specifications show a negative correlation between manufacturing robots growth and population growth. In contrast to the previous results, we find no statistical significance in column (7). However, this could be related to the fact that we do not need a dynamic specification and that the system GMM estimator is known to be very inefficient in case of a small time dimension. As in the previous tables we find no evidence of the importance of investment or secondary schooling for robots adoption. Similar to the case of total robots, we find a positive relationship between GDP per capita and the growth rate of manufacturing robots density. A puzzling result is the change in the sign of per capita GDP in case of the system GMM estimator. However, the estimations performed 15 with the corrected fixed effects estimators still exhibit the significantly positive result. In Tables 10 and 11 in the Appendix we report the same specification but omitting the controls that were not statistically significant (i.e., secondary enrollment and openness). The results do not change dramatically but the significance of the puzzling negative sign of per capita GDP in case of the system GMM estimator vanishes. As further robustness checks, we used 2-year averages instead of averaging the data over 3 years. Tables 12 and 13 in the Appendix show the corresponding results. As before, we observe a statistically significant negative correlation of the population growth rate with the growth of robot density (either of the total stock of robots or the ones employed in the manufacturing sector). However, the magnitude of the correlation is smaller in absolute value. The investment rate coefficient continues to be statistically insignificant in both tables, having a positive sign in most of the cases. Only in column (7) of Table 13 the coefficient of the investment rate is negative, although this estimate should be considered with caution because the AR(2) test cannot rule out remaining autocorrelation of the residuals at the 10% significance level. Moreover, we also constructed two alternative robot stocks using 5% and 15% as alternative depreciation rates. The estimates for the baseline model can be seen in Tables 14 and 16 (for total robots) and Tables 15 and 16 (for manufacturing robots) in the Appendix. We find no substantial differences with our previous estimates. As the two final robustness checks we use the neglog transformation for both the population growth rate and the robot density growth rate. This transformation involves making the following adjustments to the variable (which we call x for simplicity). If x <= 0, then we use − ln(−x+1) instead and if x > 0, then we use ln(x+1) instead. The results are shown in Tables 18 and 19 of the Appendix. Again, the results remain similar in terms of the sign and the statistical significance, although the size of the coefficients is higher. The results show some sensitivity with relation to the transformation of the variables that can take the value of 0 or negative values. 4 Conclusions We propose a theoretical framework of production in the age of automation for countries that are subject to declining population growth and population aging. In so doing we introduce a new production factor that resembles the properties of labor in the production process, i.e., it is a perfect substitute for labor, while it resembles the properties of traditional physical capital in the accumulation process, i.e., it is accumulated in the same manner as physical capital due to the savings and investment behavior of households. For this case the standard Solow (1956) framework predicts, under certain circumstances, perpetual growth even without technological progress and a declining labor income share (Prettner, 2017). In our contribution we show that countries with a lower population growth rate have a stronger incentive to invest in the adoption of automation. The empirical estimates that we present, subject to several robustness tests, support this theoretical prediction. 16 As far as the policy implications are concerned, our theoretical and empirical findings suggest that countries, which are subject to larger demographic challenges, will be the first to adopt and/or invent new automation technologies. This in turn might help them to overcome some of the negative effects that declining population growth and population aging imply for long-run economic prosperity, issues that also the media is nowadays heavily concerned with (see, for example, The Washington Post, 2016). Of course, the transition to automation technologies might not be all that smooth because automation capital competes with labor and therefore could act so as to depress wages. If this concern is valid and widespread, it might lead to resistance against automation from labor unions and the population at large. Altogether, it might therefore be in everybody’s interest if governments enact policies that alleviate the burden of those who suffer because of automation. Potential policies along these lines could include education subsidies and re-training programs for those who loose their jobs because of automation, making sure that unemployment insurance is widely available, etc. Furthermore, it would at some point be necessary to rethink how social security systems are financed because the main contribution is now made by the production factor labor. If labor income becomes a smaller and smaller share of total income, however, alternatives would need to be found. One remedy that is often suggested would be to make sure that everybody owns some part of the automation capital of an economy, for example, a driverless car that earns an income stream for him or her (Pratt, 2015; The Economist, 2017). Of course we have to admit that our framework stayed deliberately simple and the results that we present are meant as a first step in the direction of analyzing the interrelations between demography and automation. In reality, there are different skill groups in the population and the tasks that are performed by the different skill groups might be more or less suited to automation and they might even change over time (cf. Acemoglu and Restrepo, 2015). A more detailed framework should be able to take this into account and to empirically distinguish between the education level of different types of workers, and also the heterogeneity of tasks that workers perform. However, this crucially hinges on the data for automation in general, and robots, in particular, to become more widely available. Furthermore, a more detailed modeling of demographic change is called for that takes survival to old age and changing life expectancy into account. First steps in this direction have been undertaken by Gasteiger and Prettner (2017). Acknowledgments We would like to thank Matthias Beulmann, Georg Graetz, Volker Meier, and the participants at the annual meeting of the field committee for population economics of the German Economic Association in Passau 2017 for valuable comments and suggestions and David Höhle for excellent research assistance. We are grateful for the funding provided by the Faculty of Economics and Social Sciences at the University of Hohenheim within its research focus “Inequality and Economic Policy Analysis (INEPA)”. 17 5 5.1 Appendix Summary Statistics Table 7: Summary statistics Variable (in logs) p̂t−1 nt−1 si;t−1 yt−1 et−1 opent−1 5.2 Observations 300 300 300 300 267 295 Mean 4.300 -2.057 2.879 9.351 4.368 4.262 Std. Dev. 0.909 0.239 0.609 1.262 0.540 0.523 Minimum -2.126 -2.788 -1.697 6.539 1.616 2.789 Maximum 8.249 -1.179 3.815 11.408 5.065 6.033 Countries included Table 8: Countries with adjusted values to create manufacturing stock Country Argentina Australia Austria Belgium Brazil Bulgaria Canada Chile China Denmark Greece Hungary Iceland Malta Peru India Indonesia Ireland Israel Japan Year 2004 2006 2003 2004 2004 2006 2011 2005 2006 1996 2006 2004 2006 2006 2006 2006 2006 2006 2005 1996 Country South Korea Malaysia Mexico Netherlands New Zealand Philippines Poland Portugal Romania Russia Singapore Slovakia Slovenia South Africa Switzerland Thailand Turkey USA Vietnam Year 2001 (gap in 2002) 2006 2011 2004 2006 2006 2004 2004 2004 2004 2005 2004 2005 2005 2004 2005 2005 2004 2005 Note: The year indicates the first time that the country reported disaggregated deliveries of robots at the industry level. 18 Table 9: Countries included in the sample Argentina Australia Austria Belgium Brazil Bulgaria Chile China Colombia Croatia Czech Republic Denmark Egypt Estonia Finland France Germany Greece Hungary Iceland India Indonesia Ireland Israel Italy Japan South Korea Kuwait Lithuania Malaysia Moldova Morocco NAFTA Netherlands New Zealand Norway Oman Pakistan Peru Philippines Poland Portugal Romania Russia Saudi Arabia 19 Serbia Singapore Slovakia South Africa Spain Sweden Switzerland Thailand Tunisia Turkey Ukraine United Kingdom Uzbekistan Venezuela Vietnam 5.3 Distribution of the manufacturing stock of robots Figure 3: Average manufacturing robot density for the period 1993-1995 [0,.0001021] (.0001021,.0002529] (.0002529,.0004311] (.0004311,.003] No data Source: IFR and World Development Indicators. Note: The USA, Canada and Mexico have the same values because of the joint reporting. Figure 4: Average manufacturing robot density in the period 2011-2013 [0,.0001021] (.0001021,.0002529] (.0002529,.0004311] (.0004311,.003] No data Source: IFR and World Development Indicators. Note: The USA, Canada and Mexico have the same values because of the joint reporting. 20 5.4 Estimates with only GDP per capita as control Table 10: Total robots growth including GDP per capita (1) POLS (2) RE (3) FE (4) CorrFE (bb) (5) CorrFE (ab) (6) CorrFE (ah) (7) GMM (sys) 0.197** (0.092) -1.430** (0.611) 0.053 (0.374) 1.855** (0.737) 0.197** (0.100) -1.421** (0.607) 0.052 (0.374) 1.872** (0.735) 0.119 (0.163) 0.565 (8.093) 0.003 (0.420) -0.554 (1.130) yes yes 60 300 yes yes 60 300 yes 0.438 0.591 60 300 p̂t−1 nt−1 h st−1 yt−1 Country FE Year FE AR(2) test Hansen test Countries Observations -0.601* (0.320) 0.102 (0.143) -0.137*** (0.049) -0.732** (0.345) 0.123 (0.148) -0.131*** (0.048) -1.444* (0.758) 0.003 (0.557) 2.195*** (0.817) 0.250*** (0.079) -1.283* (0.659) -0.006 (0.400) 1.944** (0.800) no yes 60 300 no yes 60 300 yes yes 60 300 yes yes 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. 21 Table 11: Manufacturing robots growth including GDP per capita (1) POLS (2) RE (3) FE (4) CorrFE (bb) (5) CorrFE (ab) (6) CorrFE (ah) (7) GMM (sys) 0.124 (0.087) -1.587*** (0.614) -0.191 (0.376) 2.174*** (0.740) 0.119 (0.091) -1.577*** (0.612) -0.197 (0.376) 2.215*** (0.739) 0.005 (0.082) 0.466 (4.403) 0.020 (0.476) -0.626 (0.511) yes yes 60 300 yes yes 60 300 yes 0.250 0.427 60 300 p̂t−1 nt−1 st−1 yt−1 Country FE Year FE AR(2) test Hansen test Countries Observations -0.525 (0.326) 0.069 (0.119) -0.152*** (0.046) -0.667* (0.355) 0.080 (0.120) -0.145*** (0.046) -1.554* (0.806) -0.272 (0.533) 2.365*** (0.717) 0.186** (0.078) -1.468** (0.674) -0.229 (0.409) 2.221*** (0.815) no yes 60 300 no yes 60 300 yes yes 60 300 yes yes 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. 22 5.5 Baseline estimates using 2-year averages instead of 3-year averages Table 12: Total robots (1) POLS (2) RE (3) FE (4) corrFE (bb) (5) corrFE (ab) (6) corrFE (ah) (7) GMM (sys) 0.351*** (0.050) -0.736** (0.343) 0.247 (0.196) 0.393*** (0.051) -0.706* (0.370) 0.257 (0.208) 0.291*** (0.071) -1.415* (0.760) 0.091 (0.155) yes yes 60 539 yes yes 60 539 yes 0.143 0.276 60 539 p̂t−1 nt−1 st−1 Country FE Year FE AR(2) test Hansen test Countries Observations -0.435 (0.294) 0.093 (0.099) -0.606* (0.344) 0.135 (0.108) -1.160* (0.594) 0.380 (0.326) 0.366*** (0.049) -0.717** (0.359) 0.230 (0.214) no yes 60 539 no yes 60 539 yes yes 60 539 yes yes 60 539 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. 23 Table 13: Manufacturing robots (1) POLS (2) RE (3) FE (4) corrFE (bb) (5) corrFE (ab) (6) corrFE (ah) (7) GMM (sys) 0.316*** (0.050) -0.790** (0.346) 0.148 (0.199) 0.369*** (0.051) -0.754** (0.376) 0.169 (0.213) 0.297*** (0.083) -1.398* (0.780) -0.033 (0.195) yes yes 60 539 yes yes 60 539 yes 0.055 0.155 60 539 p̂t−1 nt−1 st−1 Country FE Year Dummies AR(2) test Hansen test Countries Observations -0.336 (0.292) 0.058 (0.074) -0.519 (0.347) 0.088 (0.079) -1.142* (0.604) 0.247 (0.316) 0.341*** (0.049) -0.775** (0.364) 0.132 (0.219) no yes 60 539 no yes 60 539 yes yes 60 539 yes yes 60 539 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. 24 5.6 Baseline estimates using 5% depreciation rate Table 14: Total robots (1) POLS (2) RE (3) FE (4) corrFE (bb) (5) corrFE (ab) (6) corrFE (ah) (7) GMM (sys) 0.294*** (0.088) -1.835*** (0.612) 0.405 (0.371) 0.280*** (0.099) -1.862*** (0.608) 0.419 (0.374) 0.299** (0.137) -2.687** (1.291) -0.146 (0.622) yes yes 60 300 yes yes 60 300 yes 0.783 0.177 60 300 p̂t−1 nt−1 st−1 Country FE Year FE AR(2) test Hansen test Countries Observations -0.591* (0.332) 0.077 (0.125) -0.718** (0.353) 0.103 (0.136) -2.151** (0.937) 0.545 (0.519) 0.339*** (0.077) -1.731*** (0.645) 0.385 (0.387) no yes 60 300 no yes 60 300 yes yes 60 300 yes yes 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. Table 15: Manufacturing robots (1) POLS (2) RE (3) FE (4) corrFE (bb) (5) corrFE (ab) (6) corrFE (ah) (7) GMM (sys) 0.246*** (0.085) -2.116*** (0.623) 0.244 (0.376) 0.227** (0.093) -2.147*** (0.618) 0.258 (0.376) 0.200 (0.128) -3.024*** (1.117) 0.094 (0.458) yes yes 60 300 yes yes 60 300 yes 0.884 0.119 60 300 p̂t−1 nt−1 st−1 Country FE Year FE AR(2) test Hansen test Countries Observations -0.526 (0.345) 0.051 (0.111) -0.673* (0.370) 0.070 (0.117) -2.332** (1.018) 0.318 (0.517) 0.300*** (0.076) -2.018*** (0.662) 0.229 (0.395) no yes 60 300 no yes 60 300 yes yes 60 300 yes yes 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. 25 5.7 Baseline estimates using 15% depreciation rate Table 16: Total robots (1) POLS (2) RE (3) FE (4) corrFE (bb) (5) corrFE (ab) (6) corrFE (ah) (7) GMM (sys) 0.240*** (0.092) -1.763*** (0.528) 0.266 (0.319) 0.227** (0.098) -1.782*** (0.523) 0.272 (0.319) 0.174 (0.106) -4.050*** (1.377) 0.291 (0.542) yes yes 60 300 yes yes 60 300 yes 0.790 0.891 60 300 p̂t−1 nt−1 st−1 Country FE Year FE AR(2) test Hansen test Countries Observations -0.515 (0.323) 0.055 (0.118) -0.683* (0.353) 0.081 (0.126) -1.945** (0.858) 0.337 (0.477) 0.301*** (0.079) -1.658*** (0.562) 0.247 (0.335) no yes 60 300 no yes 60 300 yes yes 60 300 yes yes 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. Table 17: Manufacturing robots (1) POLS (2) RE (3) FE (4) corrFE (bb) (5) corrFE (ab) (6) corrFE (ah) (7) GMM (sys) 0.162* (0.085) -1.998*** (0.534) 0.071 (0.321) 0.149* (0.090) -2.012*** (0.531) 0.075 (0.320) 0.071 (0.123) -4.411*** (1.430) 0.290 (0.491) yes yes 60 300 yes yes 60 300 yes 0.481 0.813 60 300 p̂t−1 nt−1 st−1 Country FE Year FE AR(2) test Hansen test Countries Observations -0.419 (0.328) 0.009 (0.086) -0.605* (0.365) 0.022 (0.091) -2.079** (0.938) 0.072 (0.469) 0.233*** (0.078) -1.901*** (0.575) 0.059 (0.342) no yes 60 300 no yes 60 300 yes yes 60 300 yes yes 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. 26 5.8 Baseline estimates using the neglog transformation Table 18: Total robots (1) POLS (2) RE (3) FE (4) corrFE (bb) (5) corrFE (ab) (6) corrFE (ah) (7) GMM (sys) 0.477*** (0.081) -21.720** (10.138) 1.327 (0.916) 0.456*** (0.092) -22.657** (9.892) 1.383 (0.921) 0.473*** (0.105) -40.401*** (14.349) -0.575 (1.030) yes yes 60 300 yes yes 60 300 yes 0.100 0.186 60 300 p̂t−1 nt−1 st−1 Country FE Year FE AR(2) test Hansen test Countries Observations -12.135* (6.436) 0.321 (0.430) -15.798** (6.399) 0.499 (0.475) -35.286* (18.480) 2.409** (0.957) 0.496*** (0.068) -20.726** (10.299) 1.275 (0.909) no yes 60 300 no yes 60 300 yes yes 60 300 yes yes 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. Table 19: Manufacturing robots (1) POLS (2) RE (3) FE (4) corrFE (bb) (5) corrFE (ab) (6) corrFE (ah) (7) GMM (sys) 0.192** (0.086) -15.714*** (3.880) 0.237 (0.347) 0.174* (0.918) -15.892*** (3.846) 0.247 (0.347) 0.186* (0.110) -23.165*** (8.161) 0.152 (0.355) yes yes 60 300 yes yes 60 300 yes 0.798 0.219 60 300 p̂t−1 nt−1 st−1 Country FE Year FE AR(2) test Hansen test Countries Observations -4.084 (2.791) 0.030 (0.094) -5.570* (3.069) 0.049 (0.100) -16.691** (7.375) 0.266 (0.469) 0.257*** (0.077) -14.854*** (4.150) 0.219 (0.369) no yes 60 300 no yes 60 300 yes yes 60 300 yes yes 60 300 Note: We report standard errors in parenthesis. ***, **, and * indicate significance at the 1, 5, and 10 percent level, respectively. The standard errors of columns (1), (2), and (3) are clustered at the country level, while the ones from (4) to (6) are bootstrapped with 50 iterations. Column (7) uses collapsed instruments and an orthogonal transformation. All of the variables are in logarithms, while population growth and robots growth were transformed with the Box-Cox transformation. CorrFE refers to the corrected fixed effects with “bb” indicating initialization by the Blundell and Bond (1998) estimator, “ab” initialization by the Arellano and Bond (1991) estimator, and “ah” initialization by the Anderson and Hsiao (1982) estimator. 27 References Abeliansky, A., Martinez-Zarzoso, I., and Prettner, K. (2015). The Impact of 3D Printing on Trade and FDI. cege Discussion Paper 262. Acemoglu, D. and Restrepo, P. (2015). The Race Between Man and Machine: Implications of Technology for Growth, Factor Shares and Employment. Mimeo. Acemoglu, D. and Restrepo, P. (2017). Secular Stagnation? The Effect of Aging on Economic Growth in the Age of Automation. NBER Working Paper 23077. Anderson, T. W. and Hsiao, C. (1982). Formulation and estimation of dynamic models using panel data. Journal of Econometrics, Vol 18:47–82. Arellano, M. and Bond, S. (1991). Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations. Review of Economic Studies, Vol. 58:277–297. Arntz, M., Gregory, T., and Zierahn, U. (2016). The Risk of Automation for Jobs in OECD Countries. A Comparative Analysis. OECD Social, Employment and Migration Working Papers, No. 189, OECD Publishing, Paris. Barrie, J. (2014). Computers Are Writing Novels: Read A Few Samples Here. Available at http://www.businessinsider.com/novels-written-by-computers-2014-11?IR=T [Accessed at January 22, 2017]. Barro, R. J. and Lee, J.-W. (2013). A New Data Set of Educational Attainment in the World, 1950-2010. Journal of Development Economics, Vol. 104:184–198. Benzell, S. G., Kotlikoff, L. J., LaGardia, G., and Sachs, J. D. (2015). Robots are us: Some Economics of human replacement. NBER Working Paper 20941. Bloom, D. E., Canning, D., and Fink, G. (2010). Implications of Population Ageing for Economic Growth. Oxford Review of Economic Policy, Vol. 26(No. 4):583–612. Blundell, R. and Bond, S. (1998). Initial conditions and moment restrictions in dynamic panel data methods. Jornal of Econometrics, Vol. 87:115–143. Borghans, L. and ter Weel, B. (2002). Do older workers have more trouble using a computer than younger workers? The Economics of Skills Obsolescence, Vol. 21:139–173. Box, G. E. and Cox, D. R. (1964). An analysis of transformations. Journal of the Royal Statistical Society. Series B (Methodological), pages 211–252. Bruno, G. S. F. (2005a). Approximating the bias of the LSDV estimator for dynamic unbalanced panel data models. Economics Letters, Vol. 87:361–366. 28 Bruno, G. S. F. (2005b). Estimation and inference in dynamic unbalanced panel-data models with a small number of individuals. The Stata Journal, Vol. 5(No. 4):473–500. Brynjolfsson, E. and McAfee, A. (2016). The Second Machine Age: Work, Progress, and Prosperity in a Time of Brilliant Technologies. Norton & Company. Busse, M. and Spielmann, C. (2006). Gender inequality and trade. Review of International Economics, 14(3):362–379. Canton, E., de Groot, H., and Hahuis, R. (2002). Vested interests, population ageing and technology adoption. European Journal of Political Economy, Vol. 18(No. 4):631–652. Cass, D. (1965). Optimum Growth in an Aggregative Model of Capital Accumulation. The Review of Economic Studies, Vol. 32(No. 3):233–240. Diamond, P. A. (1965). National Debt in a Neoclassical Growth Model. American Economic Review, Vol. 55(No. 5):1126–1150. El Pais (2016). Los robots de reparto llegan a las calles de Europa y Estados Unidos. El Pais, December 18th 2016. Frey, C. B. and Osborne, M. A. (2013). The Future of Employment: How Susceptible are Jobs to Computerisation? Available at https://web.archive.org/web/ 20150109185039/http://www.oxfordmartin.ox.ac.uk/downloads/academic/The_ Future_of_Employment.pdf. Gasteiger, E. and Prettner, K. (2017). The effect of automation in an OLG economy. Mimeo. Gehringer, A. and Prettner, K. (2017). Longevity and technological change. Macreoconomic Dynamics. (forthcoming). Graetz, G. and Michaels, G. (2015). Robots at Work. CEPR Discussion Paper 10477. Gruber, J. and Wise, D. (1998). Social security and retirement: an international comparison. American Economic Review, Vol. 88:158–163. Hémous, D. and Olsen, M. (2016). The Rise of the Machines: Automation, Horizontal Innovation and Income Inequality. Mimeo. International Federation of Robotics (2012). World Robotics Industrial Robots 2012. International Federation of Robotics (2015). Robot density: Top 10 countries with most industrial robots for every 10,000 people employed in manufacturing. Available at https://roboticsandautomationnews.com/2015/07/17 [Accessed at January 22, 2017]. International Federation of Robotics (2016). World Robotics Industrial Robots 2016. 29 Irmen, A. and Litina, A. (2016). Population Aging and Inventive Activity. CESifo Working Paper No. 5841. Judson, R. A. and Owen, A. L. (1999). Estimating dynamic panel data models: a guide for macroeconomists. Economics Letters, Vol. 65:9–15. Koopmans, T. C. (1965). On the Concept of Optimal Economic Growth. In The Econometric Approach to Development Planning. Amsterdam: North Holland. Lanchester, J. (2015). The Robots Are Coming. London Review of Books, Vol. 37(No. 5):3–8. Mankiw, G. N. and Weil, D. N. (1989). The Baby-Boom, the Baby-Bust and the Housing Market. Regional Science and Urban Economics, Vol. 19:235–258. Nickell, S. S. (1981). Biases in dynamic models with fixed effects. Econometrica, Vol. 49:1117–1126. Peretto, P. F. and Saeter, J. J. (2013). Factor-eliminating technical change. Journal of Monetary Economics, Vol. 60(No. 4):459–473. Peterson, P. G. (1999). Gray Dawn: The Global Aging Crisis. Foreign Affairs, (January/February). Pratt, G. A. (2015). Is a Cambrian Explosion Coming for Robotics? Journal of Economic Perspectives, Vol. 29(No. 3):51–60. Prettner, K. (2017). A note on the implications of automation for economic growth and the labor share. Macroeconomic Dynamics. (forthcoming). Ramsey, F. P. (1928). A Mathematical Theory of Saving. The Economic Journal, Vol. 38(No. 152):543–559. Romer, P. (1990). Endogenous Technological Change. Journal of Political Economy, Vol. 98(No. 5):71–102. Sachs, J. D., Benzell, S. G., and LaGardia, G. (2015). Robots: Curse or blessing? A basic framework. NBER Working Paper 21091. Sachs, J. D. and Kotlikoff, L. J. (2012). Smart machines and long-term misery. NBER Working Paper 18629. Schich, S. (2008). Revistiting the asset-meltdown hypothesis. OECD Journal: Financial Market Trends, Vol. 2008(No. 2):209–222. Solow, R. M. (1956). A Contribution to the Theory of Economic Growth. The Quarterly Journal of Economics, Vol. 70(No. 1):65–94. 30 Steigum, E. (2011). Frontiers of Economics and Globalization: Economic Growth and Development, chapter 21: Robotics and Growth, pages 543–557. Emerald Group. The Economist (2011). 70 or bust! Why the retirement age must go up. A special report on pensions. The Economist, April 7th 2011. The Economist (2014). Immigrants from the future. A special report on robots. The Economist, March 27th 2014. The Economist (2017). Why taxing robots is not a good idea. february 25th 2017. The Washington Post (2016). Robots wont kill the workforce. Theyll save the global economy. The Washington Post, December 2nd 2016. United Nations (2015). World Population Prospects: The 2015 Revision. United Nations, Department of Economic and Social Affairs. Population Division, Population Estimates Section. Whittaker, J., Whitehead, C., and Somers, M. (2005). The neglog transformation and quantile regression for the analysis of a large credit scoring database. Journal of the Royal Statistical Society: Series C (Applied Statistics), 54(5):863–878. 31 Hohenheim Discussion Papers in Business, Economics and Social Sciences The Faculty of Business, Economics and Social Sciences continues since 2015 the established “FZID Discussion Paper Series” of the “Centre for Research on Innovation and Services (FZID)” under the name “Hohenheim Discussion Papers in Business, Economics and Social Sciences”. Institutes 510 520 530 540 550 560 570 580 Institute of Financial Management Institute of Economics Institute of Health Care & Public Management Institute of Communication Science Institute of Law and Social Sciences Institute of Economic and Business Education Institute of Marketing & Management Institute of Interorganisational Management & Performance Research Areas (since 2017) INEPA TKID NegoTrans INEF “Inequality and Economic Policy Analysis” “Transformation der Kommunikation – Integration und Desintegration” “Negotiation Research – Transformation, Technology, Media and Costs” “Innovation, Entrepreneurship and Finance” Download Hohenheim Discussion Papers in Business, Economics and Social Sciences from our homepage: https://wiso.uni-hohenheim.de/papers No. Author Title Inst 01-2015 Thomas Beissinger, Philipp Baudy THE IMPACT OF TEMPORARY AGENCY WORK ON TRADE UNION WAGE SETTING: A Theoretical Analysis 520 02-2015 Fabian Wahl PARTICIPATIVE POLITICAL INSTITUTIONS AND CITY DEVELOPMENT 800-1800 520 03-2015 Tommaso Proietti, Martyna Marczak, Gianluigi Mazzi EUROMIND-D: A DENSITY ESTIMATE OF MONTHLY GROSS DOMESTIC PRODUCT FOR THE EURO AREA 520 04-2015 Thomas Beissinger, Nathalie Chusseau, Joël Hellier OFFSHORING AND LABOUR MARKET REFORMS: MODELLING THE GERMAN EXPERIENCE 520 05-2015 Matthias Mueller, Kristina Bogner, Tobias Buchmann, Muhamed Kudic SIMULATING KNOWLEDGE DIFFUSION IN FOUR STRUCTURALLY DISTINCT NETWORKS – AN AGENT-BASED SIMULATION MODEL 520 06-2015 Martyna Marczak, Thomas Beissinger BIDIRECTIONAL RELATIONSHIP BETWEEN INVESTOR SENTIMENT AND EXCESS RETURNS: NEW EVIDENCE FROM THE WAVELET PERSPECTIVE 520 07-2015 Peng Nie, Galit Nimrod, Alfonso Sousa-Poza INTERNET USE AND SUBJECTIVE WELL-BEING IN CHINA 530 No. Author Title Inst 08-2015 Fabian Wahl THE LONG SHADOW OF HISTORY ROMAN LEGACY AND ECONOMIC DEVELOPMENT – EVIDENCE FROM THE GERMAN LIMES 520 09-2015 Peng Nie, Alfonso Sousa-Poza COMMUTE TIME AND SUBJECTIVE WELL-BEING IN URBAN CHINA 530 10-2015 Kristina Bogner THE EFFECT OF PROJECT FUNDING ON INNOVATIVE PERFORMANCE AN AGENT-BASED SIMULATION MODEL 520 11-2015 Bogang Jun, Tai-Yoo Kim A NEO-SCHUMPETERIAN PERSPECTIVE ON THE ANALYTICAL MACROECONOMIC FRAMEWORK: THE EXPANDED REPRODUCTION SYSTEM 520 12-2015 Volker Grossmann Aderonke Osikominu Marius Osterfeld ARE SOCIOCULTURAL FACTORS IMPORTANT FOR STUDYING A SCIENCE UNIVERSITY MAJOR? 520 13-2015 Martyna Marczak Tommaso Proietti Stefano Grassi A DATA–CLEANING AUGMENTED KALMAN FILTER FOR ROBUST ESTIMATION OF STATE SPACE MODELS 520 14-2015 Carolina Castagnetti Luisa Rosti Marina Töpfer THE REVERSAL OF THE GENDER PAY GAP AMONG PUBLIC-CONTEST SELECTED YOUNG EMPLOYEES 520 15-2015 Alexander Opitz DEMOCRATIC PROSPECTS IN IMPERIAL RUSSIA: THE REVOLUTION OF 1905 AND THE POLITICAL STOCK MARKET 520 01-2016 Michael Ahlheim, Jan Neidhardt NON-TRADING BEHAVIOUR IN CHOICE EXPERIMENTS 520 02-2016 Bogang Jun, Alexander Gerybadze, Tai-Yoo Kim THE LEGACY OF FRIEDRICH LIST: THE EXPANSIVE REPRODUCTION SYSTEM AND THE KOREAN HISTORY OF INDUSTRIALIZATION 520 03-2016 Peng Nie, Alfonso Sousa-Poza FOOD INSECURITY AMONG OLDER EUROPEANS: EVIDENCE FROM THE SURVEY OF HEALTH, AGEING, AND RETIREMENT IN EUROPE 530 04-2016 Peter Spahn POPULATION GROWTH, SAVING, INTEREST RATES AND STAGNATION. DISCUSSING THE EGGERTSSONMEHROTRA-MODEL 520 05-2016 Vincent Dekker, Kristina Strohmaier, Nicole Bosch A DATA-DRIVEN PROCEDURE TO DETERMINE THE BUNCHING WINDOW – AN APPLICATION TO THE NETHERLANDS 520 06-2016 Philipp Baudy, Dario Cords DEREGULATION OF TEMPORARY AGENCY EMPLOYMENT IN A UNIONIZED ECONOMY: DOES THIS REALLY LEAD TO A SUBSTITUTION OF REGULAR EMPLOYMENT? 520 No. Author Title Inst 07-2016 Robin Jessen, Davud Rostam-Afschar, Sebastian Schmitz HOW IMPORTANT IS PRECAUTIONARY LABOR SUPPLY? 520 08-2016 Peng Nie, Alfonso Sousa-Poza, Jianhong Xue FUEL FOR LIFE: DOMESTIC COOKING FUELS AND WOMEN’S HEALTH IN RURAL CHINA 530 09-2016 Bogang Jun, Seung Kyu-Yi, Tobias Buchmann, Matthias Müller THE CO-EVOLUTION OF INNOVATION NETWORKS: COLLABORATION BETWEEN WEST AND EAST GERMANY FROM 1972 TO 2014 520 10-2016 Vladan Ivanovic, Vadim Kufenko, Boris Begovic Nenad Stanisic, Vincent Geloso CONTINUITY UNDER A DIFFERENT NAME. THE OUTCOME OF PRIVATISATION IN SERBIA 520 11-2016 David E. Bloom Michael Kuhn Klaus Prettner THE CONTRIBUTION OF FEMALE HEALTH TO ECONOMIC DEVELOPMENT 520 12-2016 Franz X. Hof Klaus Prettner THE QUEST FOR STATUS AND R&D-BASED GROWTH 520 13-2016 Jung-In Yeon Andreas Pyka Tai-Yoo Kim STRUCTURAL SHIFT AND INCREASING VARIETY IN KOREA, 1960–2010: EMPIRICAL EVIDENCE OF THE ECONOMIC DEVELOPMENT MODEL BY THE CREATION OF NEW SECTORS 520 14-2016 Benjamin Fuchs THE EFFECT OF TEENAGE EMPLOYMENT ON CHARACTER SKILLS, EXPECTATIONS AND OCCUPATIONAL CHOICE STRATEGIES 520 15-2016 Seung-Kyu Yi Bogang Jun HAS THE GERMAN REUNIFICATION STRENGTHENED GERMANY’S NATIONAL INNOVATION SYSTEM? TRIPLE HELIX DYNAMICS OF GERMANY’S INNOVATION SYSTEM 520 16-2016 Gregor Pfeifer Fabian Wahl Martyna Marczak ILLUMINATING THE WORLD CUP EFFECT: NIGHT LIGHTS EVIDENCE FROM SOUTH AFRICA 520 17-2016 Malte Klein Andreas Sauer CELEBRATING 30 YEARS OF INNOVATION SYSTEM RESEARCH: WHAT YOU NEED TO KNOW ABOUT INNOVATION SYSTEMS 570 18-2016 Klaus Prettner THE IMPLICATIONS OF AUTOMATION FOR ECONOMIC GROWTH AND THE LABOR SHARE 520 19-2016 Klaus Prettner Andreas Schaefer HIGHER EDUCATION AND THE FALL AND RISE OF INEQUALITY 520 20-2016 Vadim Kufenko Klaus Prettner YOU CAN’T ALWAYS GET WHAT YOU WANT? ESTIMATOR CHOICE AND THE SPEED OF CONVERGENCE 520 No. Author Title Inst 01-2017 Annarita Baldanzi Alberto Bucci Klaus Prettner CHILDRENS HEALTH, HUMAN CAPITAL ACCUMULATION, AND R&D-BASED ECONOMIC GROWTH INEPA 02-2017 Julius Tennert Marie Lambert Hans-Peter Burghof MORAL HAZARD IN VC-FINANCE: MORE EXPENSIVE THAN YOU THOUGHT INEF 03-2017 Michael Ahlheim Oliver Frör Nguyen Minh Duc Antonia Rehl Ute Siepmann Pham Van Dinh LABOUR AS A UTILITY MEASURE RECONSIDERED 520 04-2017 Bohdan Kukharskyy Sebastian Seiffert GUN VIOLENCE IN THE U.S.: CORRELATES AND CAUSES 520 05-2017 Ana Abeliansky Klaus Prettner AUTOMATION AND DEMOGRAPHIC CHANGE 520 FZID Discussion Papers (published 2009-2014) Competence Centers IK ICT CRFM HCM CM MM ECO Innovation and Knowledge Information Systems and Communication Systems Corporate Finance and Risk Management Health Care Management Communication Management Marketing Management Economics Download FZID Discussion Papers from our homepage: https://wiso.uni-hohenheim.de/archiv_fzid_papers Nr. Autor Titel CC 01-2009 Julian P. Christ NEW ECONOMIC GEOGRAPHY RELOADED: Localized Knowledge Spillovers and the Geography of Innovation IK 02-2009 André P. Slowak MARKET FIELD STRUCTURE & DYNAMICS IN INDUSTRIAL AUTOMATION IK 03-2009 Pier Paolo Saviotti, Andreas Pyka GENERALIZED BARRIERS TO ENTRY AND ECONOMIC DEVELOPMENT IK 04-2009 Uwe Focht, Andreas Richter and Jörg Schiller INTERMEDIATION AND MATCHING IN INSURANCE MARKETS 05-2009 Julian P. Christ, André P. Slowak WHY BLU-RAY VS. HD-DVD IS NOT VHS VS. BETAMAX: THE CO-EVOLUTION OF STANDARD-SETTING CONSORTIA 06-2009 Gabriel Felbermayr, Mario Larch and Wolfgang Lechthaler UNEMPLOYMENT IN AN INTERDEPENDENT WORLD ECO 07-2009 Steffen Otterbach MISMATCHES BETWEEN ACTUAL AND PREFERRED WORK TIME: Empirical Evidence of Hours Constraints in 21 Countries HCM 08-2009 Sven Wydra PRODUCTION AND EMPLOYMENT IMPACTS OF NEW TECHNOLOGIES – ANALYSIS FOR BIOTECHNOLOGY IK 09-2009 Ralf Richter, Jochen Streb CATCHING-UP AND FALLING BEHIND KNOWLEDGE SPILLOVER FROM AMERICAN TO GERMAN MACHINE TOOL MAKERS IK HCM IK Nr. Autor Titel CC 10-2010 Rahel Aichele, Gabriel Felbermayr KYOTO AND THE CARBON CONTENT OF TRADE ECO 11-2010 David E. Bloom, Alfonso Sousa-Poza ECONOMIC CONSEQUENCES OF LOW FERTILITY IN EUROPE HCM 12-2010 Michael Ahlheim, Oliver Frör DRINKING AND PROTECTING – A MARKET APPROACH TO THE PRESERVATION OF CORK OAK LANDSCAPES ECO 13-2010 Michael Ahlheim, Oliver Frör, Antonia Heinke, Nguyen Minh Duc, and Pham Van Dinh LABOUR AS A UTILITY MEASURE IN CONTINGENT VALUATION STUDIES – HOW GOOD IS IT REALLY? 14-2010 Julian P. Christ THE GEOGRAPHY AND CO-LOCATION OF EUROPEAN TECHNOLOGY-SPECIFIC CO-INVENTORSHIP NETWORKS IK 15-2010 Harald Degner WINDOWS OF TECHNOLOGICAL OPPORTUNITY DO TECHNOLOGICAL BOOMS INFLUENCE THE RELATIONSHIP BETWEEN FIRM SIZE AND INNOVATIVENESS? IK 16-2010 Tobias A. Jopp THE WELFARE STATE EVOLVES: GERMAN KNAPPSCHAFTEN, 1854-1923 17-2010 Stefan Kirn (Ed.) PROCESS OF CHANGE IN ORGANISATIONS THROUGH eHEALTH 18-2010 Jörg Schiller ÖKONOMISCHE ASPEKTE DER ENTLOHNUNG UND REGULIERUNG UNABHÄNGIGER VERSICHERUNGSVERMITTLER HCM 19-2010 Frauke Lammers, Jörg Schiller CONTRACT DESIGN AND INSURANCE FRAUD: AN EXPERIMENTAL INVESTIGATION HCM 20-2010 Martyna Marczak, Thomas Beissinger REAL WAGES AND THE BUSINESS CYCLE IN GERMANY ECO 21-2010 Harald Degner, Jochen Streb FOREIGN PATENTING IN GERMANY, 1877-1932 22-2010 Heiko Stüber, Thomas Beissinger DOES DOWNWARD NOMINAL WAGE RIGIDITY DAMPEN WAGE INCREASES? ECO 23-2010 Mark Spoerer, Jochen Streb GUNS AND BUTTER – BUT NO MARGARINE: THE IMPACT OF NAZI ECONOMIC POLICIES ON GERMAN FOOD CONSUMPTION, 1933-38 ECO ECO HCM ICT IK Nr. Autor Titel CC 24-2011 Dhammika Dharmapala, Nadine Riedel EARNINGS SHOCKS AND TAX-MOTIVATED INCOME-SHIFTING: EVIDENCE FROM EUROPEAN MULTINATIONALS 25-2011 Michael Schuele, Stefan Kirn QUALITATIVES, RÄUMLICHES SCHLIEßEN ZUR KOLLISIONSERKENNUNG UND KOLLISIONSVERMEIDUNG AUTONOMER BDI-AGENTEN ICT 26-2011 Marcus Müller, Guillaume Stern, Ansger Jacob and Stefan Kirn VERHALTENSMODELLE FÜR SOFTWAREAGENTEN IM PUBLIC GOODS GAME ICT 27-2011 Monnet Benoit, Patrick Gbakoua and Alfonso Sousa-Poza ENGEL CURVES, SPATIAL VARIATION IN PRICES AND DEMAND FOR COMMODITIES IN CÔTE D’IVOIRE ECO 28-2011 Nadine Riedel, Hannah SchildbergHörisch ASYMMETRIC OBLIGATIONS ECO 29-2011 Nicole Waidlein CAUSES OF PERSISTENT PRODUCTIVITY DIFFERENCES IN THE WEST GERMAN STATES IN THE PERIOD FROM 1950 TO 1990 IK 30-2011 Dominik Hartmann, Atilio Arata MEASURING SOCIAL CAPITAL AND INNOVATION IN POOR AGRICULTURAL COMMUNITIES. THE CASE OF CHÁPARRA PERU IK 31-2011 Peter Spahn DIE WÄHRUNGSKRISENUNION DIE EURO-VERSCHULDUNG DER NATIONALSTAATEN ALS SCHWACHSTELLE DER EWU ECO 32-2011 Fabian Wahl DIE ENTWICKLUNG DES LEBENSSTANDARDS IM DRITTEN REICH – EINE GLÜCKSÖKONOMISCHE PERSPEKTIVE ECO 33-2011 Giorgio Triulzi, Ramon Scholz and Andreas Pyka R&D AND KNOWLEDGE DYNAMICS IN UNIVERSITY-INDUSTRY RELATIONSHIPS IN BIOTECH AND PHARMACEUTICALS: AN AGENT-BASED MODEL 34-2011 Claus D. MüllerHengstenberg, Stefan Kirn ANWENDUNG DES ÖFFENTLICHEN VERGABERECHTS AUF MODERNE IT SOFTWAREENTWICKLUNGSVERFAHREN 35-2011 Andreas Pyka AVOIDING EVOLUTIONARY INEFFICIENCIES IN INNOVATION NETWORKS IK 36-2011 David Bell, Steffen Otterbach and Alfonso Sousa-Poza WORK HOURS CONSTRAINTS AND HEALTH HCM 37-2011 Lukas Scheffknecht, Felix Geiger A BEHAVIORAL MACROECONOMIC MODEL WITH ENDOGENOUS BOOM-BUST CYCLES AND LEVERAGE DYNAMICS ECO 38-2011 Yin Krogmann, Ulrich Schwalbe INTER-FIRM R&D NETWORKS IN THE GLOBAL PHARMACEUTICAL BIOTECHNOLOGY INDUSTRY DURING 1985–1998: A CONCEPTUAL AND EMPIRICAL ANALYSIS ECO IK ICT IK Nr. Autor Titel CC 39-2011 Michael Ahlheim, Tobias Börger and Oliver Frör RESPONDENT INCENTIVES IN CONTINGENT VALUATION: THE ROLE OF RECIPROCITY ECO 40-2011 Tobias Börger A DIRECT TEST OF SOCIALLY DESIRABLE RESPONDING IN CONTINGENT VALUATION INTERVIEWS ECO 41-2011 Ralf Rukwid, Julian P. Christ QUANTITATIVE CLUSTERIDENTIFIKATION AUF EBENE DER DEUTSCHEN STADT- UND LANDKREISE (1999-2008) IK Nr. Autor Titel CC 42-2012 Benjamin Schön, Andreas Pyka A TAXONOMY OF INNOVATION NETWORKS 43-2012 Dirk Foremny, Nadine Riedel BUSINESS TAXES AND THE ELECTORAL CYCLE 44-2012 Gisela Di Meglio, Andreas Pyka and Luis Rubalcaba VARIETIES OF SERVICE ECONOMIES IN EUROPE IK 45-2012 Ralf Rukwid, Julian P. Christ INNOVATIONSPOTENTIALE IN BADEN-WÜRTTEMBERG: PRODUKTIONSCLUSTER IM BEREICH „METALL, ELEKTRO, IKT“ UND REGIONALE VERFÜGBARKEIT AKADEMISCHER FACHKRÄFTE IN DEN MINT-FÄCHERN IK 46-2012 Julian P. Christ, Ralf Rukwid INNOVATIONSPOTENTIALE IN BADEN-WÜRTTEMBERG: BRANCHENSPEZIFISCHE FORSCHUNGS- UND ENTWICKLUNGSAKTIVITÄT, REGIONALES PATENTAUFKOMMEN UND BESCHÄFTIGUNGSSTRUKTUR IK 47-2012 Oliver Sauter ASSESSING UNCERTAINTY IN EUROPE AND THE US - IS THERE A COMMON FACTOR? 48-2012 Dominik Hartmann SEN MEETS SCHUMPETER. INTRODUCING STRUCTURAL AND DYNAMIC ELEMENTS INTO THE HUMAN CAPABILITY APPROACH IK 49-2012 Harold ParedesFrigolett, Andreas Pyka DISTAL EMBEDDING AS A TECHNOLOGY INNOVATION NETWORK FORMATION STRATEGY IK 50-2012 Martyna Marczak, Víctor Gómez CYCLICALITY OF REAL WAGES IN THE USA AND GERMANY: NEW INSIGHTS FROM WAVELET ANALYSIS 51-2012 André P. Slowak DIE DURCHSETZUNG VON SCHNITTSTELLEN IN DER STANDARDSETZUNG: FALLBEISPIEL LADESYSTEM ELEKTROMOBILITÄT 52-2012 Fabian Wahl WHY IT MATTERS WHAT PEOPLE THINK - BELIEFS, LEGAL ORIGINS AND THE DEEP ROOTS OF TRUST 53-2012 Dominik Hartmann, Micha Kaiser STATISTISCHER ÜBERBLICK DER TÜRKISCHEN MIGRATION IN BADEN-WÜRTTEMBERG UND DEUTSCHLAND IK 54-2012 Dominik Hartmann, Andreas Pyka, Seda Aydin, Lena Klauß, Fabian Stahl, Ali Santircioglu, Silvia Oberegelsbacher, Sheida Rashidi, Gaye Onan and Suna Erginkoç IDENTIFIZIERUNG UND ANALYSE DEUTSCH-TÜRKISCHER INNOVATIONSNETZWERKE. ERSTE ERGEBNISSE DES TGINPROJEKTES IK 55-2012 Michael Ahlheim, Tobias Börger and Oliver Frör THE ECOLOGICAL PRICE OF GETTING RICH IN A GREEN DESERT: A CONTINGENT VALUATION STUDY IN RURAL SOUTHWEST CHINA IK ECO ECO ECO IK ECO ECO Nr. Autor Titel CC 56-2012 Matthias Strifler Thomas Beissinger FAIRNESS CONSIDERATIONS IN LABOR UNION WAGE SETTING – A THEORETICAL ANALYSIS ECO 57-2012 Peter Spahn INTEGRATION DURCH WÄHRUNGSUNION? DER FALL DER EURO-ZONE ECO 58-2012 Sibylle H. Lehmann TAKING FIRMS TO THE STOCK MARKET: IPOS AND THE IMPORTANCE OF LARGE BANKS IN IMPERIAL GERMANY 1896-1913 ECO 59-2012 Sibylle H. Lehmann, Philipp Hauber and Alexander Opitz POLITICAL RIGHTS, TAXATION, AND FIRM VALUATION – EVIDENCE FROM SAXONY AROUND 1900 ECO 60-2012 Martyna Marczak, Víctor Gómez SPECTRAN, A SET OF MATLAB PROGRAMS FOR SPECTRAL ANALYSIS ECO 61-2012 Theresa Lohse, Nadine Riedel THE IMPACT OF TRANSFER PRICING REGULATIONS ON PROFIT SHIFTING WITHIN EUROPEAN MULTINATIONALS ECO Nr. Autor Titel CC 62-2013 Heiko Stüber REAL WAGE CYCLICALITY OF NEWLY HIRED WORKERS ECO 63-2013 David E. Bloom, Alfonso Sousa-Poza AGEING AND PRODUCTIVITY HCM 64-2013 Martyna Marczak, Víctor Gómez MONTHLY US BUSINESS CYCLE INDICATORS: A NEW MULTIVARIATE APPROACH BASED ON A BAND-PASS FILTER ECO 65-2013 Dominik Hartmann, Andreas Pyka INNOVATION, ECONOMIC DIVERSIFICATION AND HUMAN DEVELOPMENT 66-2013 Christof Ernst, Katharina Richter and Nadine Riedel CORPORATE TAXATION AND THE QUALITY OF RESEARCH AND DEVELOPMENT ECO 67-2013 Michael Ahlheim, Oliver Frör, Jiang Tong, Luo Jing and Sonna Pelz NONUSE VALUES OF CLIMATE POLICY - AN EMPIRICAL STUDY IN XINJIANG AND BEIJING ECO 68-2013 Michael Ahlheim, Friedrich Schneider CONSIDERING HOUSEHOLD SIZE IN CONTINGENT VALUATION STUDIES ECO 69-2013 Fabio Bertoni, Tereza Tykvová WHICH FORM OF VENTURE CAPITAL IS MOST SUPPORTIVE OF INNOVATION? EVIDENCE FROM EUROPEAN BIOTECHNOLOGY COMPANIES 70-2013 Tobias Buchmann, Andreas Pyka THE EVOLUTION OF INNOVATION NETWORKS: THE CASE OF A GERMAN AUTOMOTIVE NETWORK IK 71-2013 B. Vermeulen, A. Pyka, J. A. La Poutré and A. G. de Kok CAPABILITY-BASED GOVERNANCE PATTERNS OVER THE PRODUCT LIFE-CYCLE IK 72-2013 Beatriz Fabiola López Ulloa, Valerie Møller and Alfonso SousaPoza HOW DOES SUBJECTIVE WELL-BEING EVOLVE WITH AGE? A LITERATURE REVIEW HCM 73-2013 Wencke Gwozdz, Alfonso Sousa-Poza, Lucia A. Reisch, Wolfgang Ahrens, Stefaan De Henauw, Gabriele Eiben, Juan M. Fernández-Alvira, Charalampos Hadjigeorgiou, Eva Kovács, Fabio Lauria, Toomas Veidebaum, Garrath Williams, Karin Bammann MATERNAL EMPLOYMENT AND CHILDHOOD OBESITY – A EUROPEAN PERSPECTIVE HCM IK CFRM Nr. Autor Titel CC 74-2013 Andreas Haas, Annette Hofmann RISIKEN AUS CLOUD-COMPUTING-SERVICES: FRAGEN DES RISIKOMANAGEMENTS UND ASPEKTE DER VERSICHERBARKEIT 75-2013 Yin Krogmann, Nadine Riedel and Ulrich Schwalbe INTER-FIRM R&D NETWORKS IN PHARMACEUTICAL BIOTECHNOLOGY: WHAT DETERMINES FIRM’S CENTRALITY-BASED PARTNERING CAPABILITY? 76-2013 Peter Spahn MACROECONOMIC STABILISATION AND BANK LENDING: A SIMPLE WORKHORSE MODEL 77-2013 Sheida Rashidi, Andreas Pyka MIGRATION AND INNOVATION – A SURVEY IK 78-2013 Benjamin Schön, Andreas Pyka THE SUCCESS FACTORS OF TECHNOLOGY-SOURCING THROUGH MERGERS & ACQUISITIONS – AN INTUITIVE METAANALYSIS IK 79-2013 Irene Prostolupow, Andreas Pyka and Barbara Heller-Schuh TURKISH-GERMAN INNOVATION NETWORKS IN THE EUROPEAN RESEARCH LANDSCAPE IK 80-2013 Eva Schlenker, Kai D. Schmid CAPITAL INCOME SHARES AND INCOME INEQUALITY IN THE EUROPEAN UNION ECO 81-2013 Michael Ahlheim, Tobias Börger and Oliver Frör THE INFLUENCE OF ETHNICITY AND CULTURE ON THE VALUATION OF ENVIRONMENTAL IMPROVEMENTS – RESULTS FROM A CVM STUDY IN SOUTHWEST CHINA – ECO 82-2013 Fabian Wahl DOES MEDIEVAL TRADE STILL MATTER? HISTORICAL TRADE CENTERS, AGGLOMERATION AND CONTEMPORARY ECONOMIC DEVELOPMENT ECO 83-2013 Peter Spahn SUBPRIME AND EURO CRISIS: SHOULD WE BLAME THE ECONOMISTS? ECO 84-2013 Daniel Guffarth, Michael J. Barber THE EUROPEAN AEROSPACE R&D COLLABORATION NETWORK IK 85-2013 Athanasios Saitis KARTELLBEKÄMPFUNG UND INTERNE KARTELLSTRUKTUREN: EIN NETZWERKTHEORETISCHER ANSATZ IK HCM ECO, IK ECO Nr. Autor Titel CC 86-2014 Stefan Kirn, Claus D. Müller-Hengstenberg INTELLIGENTE (SOFTWARE-)AGENTEN: EINE NEUE HERAUSFORDERUNG FÜR DIE GESELLSCHAFT UND UNSER RECHTSSYSTEM? ICT 87-2014 Peng Nie, Alfonso Sousa-Poza MATERNAL EMPLOYMENT AND CHILDHOOD OBESITY IN CHINA: EVIDENCE FROM THE CHINA HEALTH AND NUTRITION SURVEY HCM 88-2014 Steffen Otterbach, Alfonso Sousa-Poza JOB INSECURITY, EMPLOYABILITY, AND HEALTH: AN ANALYSIS FOR GERMANY ACROSS GENERATIONS HCM 89-2014 Carsten Burhop, Sibylle H. LehmannHasemeyer THE GEOGRAPHY OF STOCK EXCHANGES IN IMPERIAL GERMANY ECO 90-2014 Martyna Marczak, Tommaso Proietti OUTLIER DETECTION IN STRUCTURAL TIME SERIES MODELS: THE INDICATOR SATURATION APPROACH ECO 91-2014 Sophie Urmetzer, Andreas Pyka VARIETIES OF KNOWLEDGE-BASED BIOECONOMIES IK 92-2014 Bogang Jun, Joongho Lee THE TRADEOFF BETWEEN FERTILITY AND EDUCATION: EVIDENCE FROM THE KOREAN DEVELOPMENT PATH IK 93-2014 Bogang Jun, Tai-Yoo Kim NON-FINANCIAL HURDLES FOR HUMAN CAPITAL ACCUMULATION: LANDOWNERSHIP IN KOREA UNDER JAPANESE RULE IK 94-2014 Michael Ahlheim, Oliver Frör, Gerhard Langenberger and Sonna Pelz CHINESE URBANITES AND THE PRESERVATION OF RARE SPECIES IN REMOTE PARTS OF THE COUNTRY – THE EXAMPLE OF EAGLEWOOD 95-2014 Harold ParedesFrigolett, Andreas Pyka, Javier Pereira and Luiz Flávio Autran Monteiro Gomes RANKING THE PERFORMANCE OF NATIONAL INNOVATION SYSTEMS IN THE IBERIAN PENINSULA AND LATIN AMERICA FROM A NEO-SCHUMPETERIAN ECONOMICS PERSPECTIVE IK 96-2014 Daniel Guffarth, Michael J. Barber NETWORK EVOLUTION, SUCCESS, AND REGIONAL DEVELOPMENT IN THE EUROPEAN AEROSPACE INDUSTRY IK ECO 2 IMPRINT University of Hohenheim Dean’s Office of the Faculty of Business, Economics and Social Sciences Palace Hohenheim 1 B 70593 Stuttgart | Germany Fon +49 (0)711 459 22488 Fax +49 (0)711 459 22785 E-mail [email protected] Web www.wiso.uni-hohenheim.de
© Copyright 2026 Paperzz