Government spending and legislative organization: Quasi-experimental evidence from Germany Peter Egger University of Munich and Ifo Marko Koethenbuerger University of Vienna and CESifo∗ First version: February 2008 This version: December 2008 Abstract In this paper we present empirical evidence that council size has a positive effect on government spending. We use data of 2056 municipalities in the German state of Bavaria over a time period of 22 years. In particular, we make use of law-induced changes in the council size, triggered by slight changes in population size (“one more inhabitant”), to identify a causal relationship between council size and spending. The regressiondiscontinuity design, thereby, circumvents problems of endogeneity of previous studies. The paper also shows that (i) politically strong mayors do not break the relationship between the size of government and council size, (ii) municipalities rely on property taxes (rather than public debt) to finance pork-barrel spending, and (iii) political fragmentation does not magnify the pro-spending bias inherent to legislature size. JEL Classification: D7, H7, C2 Keywords: Legislative Organization, Mayor-Council System, Regression-Discontinuity, Fragmentation, Government Spending. ∗ Address: Hohenstaufengasse 9, 1010 Wien, Austria, Phone: [+43] 1 4277 37423, Fax: [+43] 1 4277 9374, Email: [email protected]. 1 1 Introduction The notion that legislative organization affects government spending is a central feature of the recent literature on the political economy of fiscal policy.1 Districting of political jurisdictions is a peculiar force identified in the literature which generates an overspending bias in the public sector. Legislators internalize the benefit of public projects targeted at their district, but due to cost sharing underestimate the cost of project provision. The size of government is hence positively related to the number of legislators; a phenomenon frequently referred to as pork-barrel spending, the fiscal commons problem, or the “law of 1/n” - see, e.g., Weingast et al. (1981). In this paper we empirically test the relationship between legislature size and government spending. Using data from 2056 municipalities in the German state of Bavaria over the time period 1983-2004 we find that council size has a positive impact on government spending. Our paper deviates from the political economy literature most importantly in the empirical strategy used to identify a relationship between council size and spending. Existing empirical analyses primarily resort to cross-section variation of council size.2 The drawback of this approach is that it is generically plagued by problems of endogeneity. For instance, the size of the council may reflect preferences of voters for a fine-grid representation of voters’ preferences in legislature. At the same time these voters may want to see high levels of public spending. Hence, council size and spending might be positively associated, with no causal relationship.3 We circumvent the endogeneity problem by applying a regression-discontinuity design.4 That is, we make use of the fact that municipal council size is formulaically related to the population size of the municipality in Bavaria. For municipalities whose population size is slightly below and just above a threshold, the number of legislators differs up to 50%. Since one more inhabitant will generate the discontinuous change in council size, the assignment to different council classes is as good as random. The law-induced changes in council size thus provide a quasi-natural experiment, which enables us to draw causal inference, i.e. to determine whether council size and government spending are causally linked, with causality 1 See, e.g., Besley and Case (2003), Persson and Tabellini (2003), and Acemoglu (2005) for a review of the literature. 2 Empirical analyses of the relationship between legislature size and public spending include DelRossi and Inman (1999), Bradbury and Crain (2001), Baqir (2002), and Schaltegger and Feld (2008). 3 See Acemoglu (2005) for a general discussion of problems of endogeneity in empirical analysis of political economy. 4 A regression-discontinuity design has only recently been applied in economics and, in particular, in political economy. See, e.g., Dahlberg et al. (2008), Lee et al. (2004), Lee (2008), and Pettersson-Lidbom (2007, 2008) for an application of the regression-discontinuity design in political economy analysis. 2 running from council size to spending. The paper sheds light onto the effectiveness of political institutions to break the relation between council size and fiscal policy. Two political institutions are argued to remedy the common-pool problem: at-large systems and mayor-council systems. Under the former institution only a single political district exists and political candidates compete for votes from the whole population. The at-large system hence removes the overspending bias due to geographical cost-sharing. Under the latter system a mayor is directly elected. The mayor will more likely internalize the overall costs of projects and, provided the mayor has a strong position via-a-vis the council, the mayor can counteract the overspending bias of council members.5 In fact, Baqir (2002) finds evidence for mayor-council systems to break the relationship between council size and spending in US states; thereby enforcing fiscal discipline. Municipalities in Bavaria operate under both an at-large system and a mayor-council system. Our finding shows that the political institutions do not offset the impact of council size on public spending. Suggestively, although not catering to members of their political district, council members still cater to their political clientele in the electorate, causing a spending rise which more than offsets the hypothesized disciplining effect of the mayor-council system. We further look into the financing implications of politically-motivated spending hikes. Besides issuing public debt, municipalities have some taxing authority. Tax instruments available to Bavarian municipalities are property taxes and a tax on business profits. We find that only property taxes react significantly to council size changes. Intuitively, municipalities compete for mobile firms with the profit tax and, thus, will generically refrain from increasing the profit tax burden on mobile firms to finance additional spending.6 As to public debt, it might be surprising that municipalities do not resort to public debt to finance pork-barrel spending, given the hypothesized bias toward debt financing in political economy. Munici5 A mayor-council system is implemented, e.g., at the municipal level in some German states and in a number of US cities (most notably in small and large cities) - see, e.g., Svara (1990) for a review of the US experience. The idea that a “strong” legislator imposes fiscal discipline is conceptually related to the discussion of a “strong” finance minister in government and its effect on public debt policy (e.g. von Hagen, 2005, 2006), and to the economic comparison of presidential and parliamentary systems (e.g. Persson and Tabellini, 2003). A strong finance ministers most likely internalizes the overall costs of pork-barrel spending, with the consequence of vetoing some of the expenditure proposals of cabinet ministers. In a presidential system, the president is elected directly into office and has independent authority (as is a mayor in Bavaria). Differently, in a parliamentary system the prime minister is elected by the parliament and is accountable to it. 6 The finding is consistent with the view that, by assigning taxes levied on mobile resources to local governments, local politicians will find it more costly to finance additional spending and prefer to shift the tax burden onto more immobile tax payers - see, e.g., Brennan and Buchanan (1980) and Sinn (2003). 3 palities operate under the Golden Rule of Public Finance which stipulates that public debt financing is restricted to public investment outlays. We find that consumptive expenditures primarily react to council size adjustments. For this type of public expenditure public debt financing is not available. The finding is indicative for the effectiveness of the Golden Rule regulation in municipal finance. A straightforward question is why municipal governments resort to consumptive expenditures rather than investment expenditures (or a mix of both). Presumably, investment expenditures can only be adjusted with a longer time lag after the adjustment in council size due to, e.g., legal planning requirements and co-financing modalities (and, thus, coordination need) with higher-level governments. Legislators, however, may prefer a more timely adjustment in expenditures. Consistent with this interpretation, we find that expenditures react immediately after council size changes. Finally, we speak to the literature on political fragmentation and fiscal outcomes; see, e.g., Roubini and Sachs (1989), Alesina and Drazen (1991), and Perotti and Kontopoulos (2002). This body of literature primarily looks at the political composition of the legislature (or the executive branch of government) rather than at legislature size per-se as a determinant of fiscal outcomes. One may conjecture that in our setting the political composition of the municipal council interacts with the size effect; i.e. that spending rise in municipalities which are legislated to adjust the council size might be higher the more politically fragmented the council is. Our findings show that political fragmentation has no bearing on the link between council size and public expenditures. We can further shed light on the related discussion of whether party affiliation impacts on the fiscal commons problem. A hypothesis in this context is that parties may be more effective in limiting the fiscal commons problem than independent candidates (Grossman and Helpman, 2006). The basic idea is that polities differ in the extent to which political parties can pre-commit before elections to carry out certain policy actions if they take power. Commitment problems arise due to a divergence between ex ante and ex post incentives, which may reflect (among other things) a difference in the objectives of national parties that seek to capture control of the legislature (and thereby implement their nation-wide and/or ideological agendas) and the objectives of individual legislators, whose interests may be more parochial. Parties may thus induce party candidates to stick to the partly line instead of engaging in pork-barrel spending. Independent candidates do not face party discipline. They act more like citizen candidates in the spirit of Osborne and Slivinski (1996) and Besley and Coate (1997), where policies are ex-post chosen in legislative 4 decision-making (featuring pork-barrel spending). To test for it, we make use of the fact that in Bavarian municipal politics both candidates affiliated with parties and independent candidates are part of the legislature. In our regression we find that the extent to which the municipal legislature comprises independent candidates has no influence on the fiscal commons problem. Like us, Pettersson-Lidbom (2007) uses a regression-discontinuity approach in testing the hypothesis of pork-barrel spending. Using data of Swedish and Finish municipal finance, he finds a negative relationship between council size and government spending. Besides reporting a qualitatively different results, our data set allows us to speak to a richter set of questions; most notably, which fiscal instruments municipalities prefer to finance porkbarrel spending, which type of expenditure (current vs. capital expenditure) are primarily responsive to council size, and whether political institutions as well as fragmentation influence the relationship between public expenditures and council size. The paper proceeds by providing a description of municipal finance and politics in Bavaria in Section 2, followed by the empirical strategy in Section 3, and the empirical results in Section 4. A summary of the main results and some conclusions are finally presented in Section 5. 2 Municipal Finance and Politics in Bavaria Bavaria comprises 2056 municipalities which have considerable degree of fiscal autonomy. On the revenue side, they can set property taxes and a business tax. Own-source tax revenues are approximately 50% of total (own-source plus shared, but federally determined) tax revenues. Municipalities can borrow to the extent that the amount of borrowing does not exceed infrastructure outlays (Golden Rule of Public Finance). Current spending, in contrast, has to be financed by current receipts. On the expenditure side, municipalities provide important public services such as sport facilities, kindergarten, old people’s homes, elementary schools as well as utility and infrastructure services. Municipalities have the right of self-management. The municipal political system in Bavaria is a mayor-council system (so called Süddeutsche Ratsverfassung) which in the current form was implemented after World War II by the US military government.7 The system 7 Interestingly, the military government in the British occupation zone in the northern states of former West-Germany implemented a council-manager system, in which the mayor is elected by the council and 5 features direct elections of the the mayor and council members (mayor-council system) which take place every 6 years. The mayor has a strong position in municipal politics. The mayor is the chief executive of the municipality solely responsible for the operation. The mayor is also a chairman of the council, endowed with voting rights and the prerogative to veto actions of the council (in particular of subcommittees implemented by the council).8 The municipal legislature comprises candidates of national parties and candidates which have no affiliation with national parties. Independent candidates may be politically organized either on a stand-alone basis or may have joined a voter association. Independent candidates have a non-negligible role in policy formulation. For instance, in the 2002 election 54% of council seats in Bavaria went to candidates with no party affiliation, with similar representation in previous elections.9 An important feature of the political system is that the council size is related to the population size of the municipalities. Table 1 depicts the mapping between population size and council size as prescribed by law. There are 13 council sizes where the lower 11 brackets are formulaically related to the population size of the municipality. Hence, the size of 2063 out of 2065 councils is formulaically determined by the population size. Taken together with the fine partitioning of population size, the number of law-induced changes in council size turns out to be relatively high. insert Table 1 here Table 2 shows the change in council size between two successive years over the time period 1983-2004. Entries in the main diagonal represent municipalities whose council size stayed constant between any two years. Off-diagonal entries represent municipalities whose council size changed, either due to a drop in population size (entries above the main diagonal) or population growth (entries below the main diagonal). In total, 650 changes were legislated by law over the sample period. insert Table 2 here accountable to it (so called Norddeutsche Ratsverfassung). Recently, these states have gradually transitioned to a mayor-council system. The expenditure effects of the political reform are analyzed in Egger et al. (2007). 8 See http://www.stmi.bayern.de/service/gesetze/ for more information (in German). 9 The respective figures are 56% in the 1996 election, 56% in the 1990 election, 55% in the 1984 election, and 56% in the 1978 election. 6 The municipal data we use comes from the Bavarian statistical office and is publicly available.10 It comprises fiscal data on spending and revenues, socio-economic data on population size, population age structure, and income as well as data on the size and political composition of municipal councils. Data on the number of unemployed at the municipal level is taken from the Federal Labor Office (Bundesagentur für Arbeit) - also publicly available on-line.11 insert Table 3 here Table 3 shows total public expenditure and per-capita public expenditure over the sample period. Expenditures are increasing in council size which per se does not allow to infer any causal relationship between council size and government spending. Since council size is formulaically related to population size, Table 3 may display a spurious correlation. The rise may reflect a higher demand for public spending following a rise in population size, yielding a higher total amount and per-capita values of public spending. The former response is straight forward. The latter is consistent with, e.g., “Brecht Law” which stipulates that a higher concentration of population raises per-capita spending due to, e.g., increased crowding in the consumption of public services. Disentangling the effect of population size from other causes of spending growth such as legislative organization is a non-trivial task in empirical analysis of political economy (see Acemoglu, 2005). In our empirical analysis we address the concern by employing a regression-discontinuity design as explained in the next section. 3 Empirical Strategy As mentioned above, the focus in this paper is on the causal impact of council size at on the extent of expenditures at the municipality level. Two econometric issues are relevant here. First, expenditure and government size could be co-determined by or correlated with some excluded variable. This would render the parameter of interest under ordinary least-squares estimation biased. Second, council size is not continuous. But rather, in Bavaria as in other German Länder or other foreign countries it is generated by a step-function of population size at the municipality level as shown in Table 1. Proper inference then should obey endogeneity of council size along with its discontinuity about population size. 10 11 See http://www.statistik.bayern.de/. See http://www.pub.arbeitsamt.de. 7 A first step in that direction is the use of a difference-in-difference (DID) estimation approach. One way of implementing DID estimation is using the available panel data in levels and include fixed municipality effects along with fixed time effects (see Cameron and Trivedi, 2005 ).12 An advantage of DID estimation is that it avoids any potential bias from the omission of relevant time-invariant variables. Ideally, causal inference relies on a randomized design or experiment, where the number of legislators is changed randomly across municipalities. Such an experiment is not available for municipality council size and its impact on municipality expenditures. However, one may adopt a quasi-experimental design to approximate the actual randomization. For instance, this can be done by means of regression-discontinuity analysis (RDA). RDA is suitable, if the probability of receiving a treatment (such as changing council size) is a discontinuous function of some outcome variable (such as population size), see Angrist and Lavy (1999), Van der Klaauw (2002), or Cameron and Trivedi (2005). We may think of the nexus between population size and council size as a sharp design. The latter means that assignment of municipalities to different council sizes is solely based on continuous population size.13 Let us describe the model in formal accounts for a cross-section of data around discontinuity d as follows:14 ln gov. sizeidt = αt + β ln counc. sizeit + k(ln pop. sizeit ) + ... + µi + εit , (1) where ln gov. sizeit is the logarithm of expenditures of municipality i in year t, ln counc. sizeit is a step function with steps at d which discontinuously maps the logarithm of population, P (ln pop. sizeit ) onto council size. k(·) = Jj = 1[ηj ln pop. sizejit is a semiparametric control function involving powers of log population size. In our case, we apply J = 3 and use powers up to an order of three.15 12 The approach is called DID, because an alternative way of implementing it is to use differences rather than levels of the data (then, the fixed municipality effects cancel out and, with just two periods, the time effects collapse to the constant in the differenced model). In our case, we would regress changes of expenditures between municipalities whose council size changed from one level to another and compare them to the expenditures of other municipalities whose council size did not change. 13 There are just a few special treatments of larger cities, namely of Nuremberg and Munich, where council size is fixed specifically - see Table 1. 14 In our case, we have to distinguish between discontinuities d = 1, ..., 12, where d = 1 is associated with a council size of 12, d = 2 corresponds to a council size of 14, an so on, and d = 12 corresponds to a council size of 80 (see Table 1 for the different size classes). 15 One can quite simply test for the appropriate order of the power function. In our case, using higher powers of log population size does not contribute significantly to the model and it is efficient to use only log population size up to a power of three. 8 αt , β, ηj , and εit are unknown parameters which have to be estimated similar to the model parameters of other control variables not mentioned in (1). More specifically, αt is a time-specific constant, β and ηj are a slope parameters, µi is a municipality fixed effect, and εit is a remainder error term. One may then estimate the DID model in (1) for alternative discontinuities d separately or pool the data across d. The key assumptions for identification and consistent estimation of β in the pooled model are the following: (i) in the absence of council size differences, municipalities in a small interval around any of the discontinuities generating the step function about log population size have similar levels of log government expenditure; (ii) after conditioning on population size (and powers thereof) are the levels of government expenditure similar across the considered discontinuities (i.e., the response is independent of the level of population size). If (ii) is violated, one should not pool β or the other model parameters across discontinuities. The latter is easily testable by means of an F-test. 4 Results Our panel data-set of 2065 municipalities in Bavaria over the period 1983-2004 allows us to identify the aforementioned causal impact from the 650 discrete (endogenous) changes in council size on expenditures. insert Table 4 here Results for DID models which pool the parameters across size classes are summarized in the first two columns of Table 4. Reported standard errors are based on Arellano’s (1987) heteroskedasticity and autocorrelation robust estimator. While Model 1 only includes the discontinuous variable council size along with the time- and municipality-specific effects, Model 2 also controls for log population and log income. As can be seen from the council size parameter of interest, controlling for log population in particular matters for the magnitude of the estimate β̂. The inclusion of log population alone reduces the positive elasticity of log government expenditures with respect to log council size by about three quarters. However, the elasticity β̂ is significant at 5 percent even in Model 2. The between models (using averaged data for the municipalities across the years) illustrate that including time-invariant variables is particularly important if log population is not controlled for. Yet, even after 9 including log population in the empirical model, the between estimate of β is about three times as large in Model 4 as the one in Model 2. However, it may be insufficient to model k(·) = ln pop. sizeit and the remaining bias in β̂ in Model 2 could be substantial. Then, one should include higher powers of ln pop. sizeit in k(·) to obtain an unbiased estimate by means of a difference-in-difference cum regressiondicontinuity design (DID-RDD). Variants of a DID-RDD version of Model 2 are provided in Table 5. insert Table 5 here We estimate three variants of Model 2 which we label Models 2a-2c. Of those, Model 2a includes (ln pop. sizeit )2 and (ln pop. sizeit )3 ) along with ln pop. sizeit ) in the a control function k(·). Instead, Model 2b relies on a third-order polynomial function of the log number of eligible voters instead of log population. Model 2c combines the elements of the control function in Models 2a and 2b. The results in Table 5 suggest that the remaining bias after including log population alone is small, because the higher order terms in the control function do not have a large impact on the estimate of interest, β̂.16 Moreover, whether one uses a population-based or a number-of-voters-based control function is of minor importance. The point estimates β̂ are very similar to each other in Table 5, and they are very close to the one of Model 2 in Table 4. We continue the empirical analysis by shedding light on the sensitivity of the results with regard to changes in the specification and the econometric model. The findings from this analysis are summarized in Table 6. insert Table 6 here In the first column of the table, we report estimates of a variant of Model 2c as in Table 5 which additionally includes the municipality-specific unemployment rate. A high unemployment rate indicates that a municipality faces problems in the process of industry restructuring. Such a municipality should be expected to have less tax income and, hence, a lower level of expenditures than other municipalities. Indeed, this is what we find. Notice that 16 Also, the explanatory power changes only to a minor extent as compared to Model 2 when including higher-order polynomials. 10 the point estimate of interest amounts to β̂ = 0.136 and, hence, is more than twice as high as in Model 2c. However, this is not brought about by the inclusion of the unemployment rate as such but by the change in time coverage due to the availability of unemployment rates (1995-2004 instead of 1983-2004). β̂ = 0.136 also if we exclude the unemployment rate but focus on the period 1995-2004 with Model 2c. However, notice that the 95% confidence intervals (i.e., ±1.96σ̂ where σ̂ is the estimated standard error) around β̂ in Model 2 in Table 4, Model 2c in Table 5, and the Augmented Model in Table 6 are overlapping. Hence, the parameter estimates are not statistically different at a reasonable level. The remaining models in Table 6 shed light on the parameter stability of β̂ across different moments of the distribution of log council size. For instance, we find that the point estimate β̂ is larger in a median regression framework than in a least-squares model (see the second column in Table 6). When dissecting the sample into municipalities with councils with at most 14 members, ones with more than 14 but at most 30 members, and ones with more than 30 representatives, we find that the estimated elasticity increases with sample size. While the estimates β̂ are not statistically different at reasonable significance levels between the two groups with smaller municipalities, β̂ is significantly larger for changes in council size of large municipalities with more than 30 council members. However, we should take the latter result with a grain of salt, since the number of changes we learn from is rather small according to Table 2. We next analyze the effect of political fragmentation and party affiliation on the fiscal commons problem. As to the former, a conjecture might be that municipalities with a more politically fragmented council experience a more pronounced adjustment in expenditure in response to a law-induced change in council size. To test for it, we interact the share of the main parties and voter associations (including independent candidates with no party affiliation) in the council with council size. The overall finding in Table 7 shows that party shares do not significantly interact with council size with the exception being the Green Party. From this we conclude that political fragmentation has no statistically important influence on the fiscal commons problem.17 The fact that at the municipal level council members are not always affiliated with a party (either being a member of a voter association or being an independent candidate) allows us to test for the impact of party affiliation on the fiscal 17 The result is in line with findings in, e.g., Schaltegger and Feld (2008) (for Switzerland) and Perotti and Kontopoulos (2002) (for OECD countries). 11 commons problem.18 Party affiliation is argued to have an attenuating effect on the legislative behavior of politicians with the consequence of less pork-barrel spending (e.g., Grossman and Helpman, 2006). The idea is that parties tend to have a more non-parochial perspective when devising policy programs. Their local party candidates will adopt the overall policy stance to the extent that parties can discipline its candidates when deviating from it expost. Independent candidates, in contrast, will act more like citizen candidates which choose policies in legislative bargaining featuring pork-barrel spending; see Osborne and Slivinski (1996) and Besley and Coate (1997). As the results in Table 7 show the extent of party affiliation (for each of the 4 major parties separately - first column - and in aggregate - second column) and of party independence has no statistically significant influence on fiscal commons spending. Apparently, in municipal politics the party affiliation seems to be less of a concern in fiscal decisions. Rather, it appears to be the identity of the municipal candidates which is of relevance; lending support to the validity of the citizen candidate model of legislative behavior. insert Table 7 here As a final exercise we infer into the financing implications of the spending hikes following changes in council size. Tax instruments available to Bavarian municipalities are property taxes and a tax on business profits where the latter is suggestively the focal fiscal instrument used to compete for firms. Given the set of taxes a presumption might be that municipalities will refrain from increasing the profit tax burden on mobile firms and, thus, will primarily resort to property taxes as a means of financing additional spending; e.g., Brennan and Buchanan (1980) and Sinn (2003).19 Consistent with the view, we find that its is only property taxes which significantly react to spending hikes following council size adjustments. Public debt financing appears not to be affected by pork-barrel spending. The result is possibly unexpected given the tendency in political economy to excessively use public debt financing; see, e.g., von Hagen (2006). One fiscal institution which may account for the empirical finding is the Golden Rule of Public Finance under which Bavarian municipalities operate. It stipulates that public debt can only be incurred for the financing of investment 18 Recall, more than 50% of council seats are won by candidates which are not affiliated with parties over the sample period. 19 The prediction is of particular relevance at the municipal level where taxes can be avoided at low cost (relative to cross-national tax avoidance) by relocating activities to neighboring municipalities. 12 expenditures. This type of public outlays, however, does not react significantly to adjustment in council size - see last column in Table 8. The question arises why current expenditures are primarily used to satisfy politically-motivated expenditure demand. Presumably, capital expenditures can only be adjusted with some time lag after the adjustment in council size due to, e.g., legal planning requirements and co-financing modalities (and, thus, coordination need) with higher-level governments. Legislators may however demand more timely adjustments in expenditures after elections. Consistent with this interpretation, we find that expenditures react immediately after council size changes. insert Table 8 here 5 Conclusion The paper provides evidence for a positive effect of council size on government spending. We make use of discontinuities in the legal rule which relates population size to the number of council members, hence generating a quasi-natural experiment which allows to draw causal inference. Interestingly, we find the positive effect of council size on fiscal spending in a political environment of single-district jurisdictions (at-large systems) and of a mayor-council legislature. Both political institutions are inherently exclusive towards the spending effect of council size. We also find that the degree of political fragmentation of the council and the party-affiliation of politicians have no bearing on the council size effect. 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Johnson (1981), The political economy of benefits and costs: A neoclasical approach to distributive politics, Journal of Political Economy, 96, 132-163. 15 Table 1: Council Size as a discontinuous function of population size Population Size (pop) Council Members 0 < pop <= 1000 8 1000 < pop <= 2000 12 2000 < pop <= 3000 14 3000 < pop <= 5000 16 5000 < pop <= 10000 20 10000 < pop <= 20000 24 20000 < pop <= 30000 30 30000 < pop <= 50000 40 50000 < pop <= 100000 44 100000 < pop <= 200000 50 200000 < pop <= 500000 60 Nueremberg 70 Munich 80 Table 2 - Municipality size class in periods t and t-1 among Bavarian municipalities (1983-2004) Council size in period t 8 12 14 16 20 24 30 40 44 50 60 70 80 8 3.634 118 0 0 0 0 0 0 0 0 0 0 0 12 11 12.660 193 0 0 0 0 0 0 0 0 0 0 14 0 11 6.857 153 0 0 0 0 0 0 0 0 0 16 0 0 6 7.688 114 0 0 0 0 0 0 0 0 20 0 0 0 11 5.713 50 0 0 0 0 0 0 0 Council size in period t-1 24 30 40 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 2.735 3 0 17 489 0 0 2 301 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 44 0 0 0 0 0 0 0 0 198 2 0 0 0 50 0 0 0 0 0 0 0 0 0 88 0 0 0 60 0 0 0 0 0 0 0 0 0 0 20 0 0 70 0 0 0 0 0 0 0 0 0 0 0 20 0 80 0 0 0 0 0 0 0 0 0 0 0 0 20 Total 3.645 12.789 7.056 7.852 5.831 2.788 506 303 199 90 20 20 20 Total 3.752 12.864 7.022 7.808 5.774 2.756 494 302 200 88 20 20 20 41.120 Notes: The figures in the table are observations. Notice that each municipality of the 2056 municipalities is observed repeatedly over time. Observations in the main diagonal represent municipalities that stay at a given council size between two periods t-1 and t. Table 3 - Council size and expenditures in 2056 Bavarian municipalities (1983-2004) Council size (seats) 8 12 14 16 20 24 30 40 44 50 60 70 80 Average Total expenditures mn. Euro 1,27 2,25 3,76 6,04 11,07 22,60 36,97 77,54 138,81 297,16 559,25 1.334,13 4.189,82 Per-capita expenditures Euro 1.507,62 1.515,91 1.502,12 1.532,96 1.585,83 1.634,95 1.545,87 1.970,60 2.264,04 2.545,87 2.185,36 2.729,53 3.404,98 10,99 1545,36 Table 4 - The effect of municipality council size on the level of expenditures Explanatory variable Log council sizeit Log populationit Log incomeit Fixed effects OLS models Model 1 Model 2 0,216 *** 0,059 ** 0,024 0,025 0,519 *** 0,030 0,130 *** 0,010 Between OLS models Model 3 Model 4 2,918 *** 0,171 *** 0,020 0,061 0,840 *** 0,029 0,121 *** 0,015 Observations 43175 43175 Municipalities 2056 2056 2056 2056 R2 0,946 0,947 0,910 0,952 Fixed municipality effects Yes Yes No No Fixed time effects Yes Yes No No Notes: Standard errors are robust to heteroskedasticity and autocorrelation. ***, **, and * indicate that coefficients are significantly different from zero according to two-tailed tstatistics. Table 5 - Difference-in-difference regression-discontinuity-design analysis Explanatory variable Log council sizeit Log populationit Log incomeit Using a third-order polynomial about log population log voters pop. & voters Model 2a Model 2b Model 2c 0,045 ** 0,059 *** 0,043 * 0,022 0,022 0,022 1,034 0,561 *** -0,509 1,105 0,029 1,240 0,118 *** 0,128 *** 0,117 *** 0,009 0,009 0,009 Observations 43175 43175 43175 Municipalities 2056 2056 2056 R2 0,948 0,947 0,948 Fixed municipality effects Yes Yes Yes Fixed time effects Yes Yes Yes Notes: Model 2a uses a third-order polynomial of log population (instead of relying on log population only as Model 2 in Table 4). In Model 2b, we use a third-order polynomial function of the log number of eligible voters instead. In Model 2c, we use a third-order polynomial of both log population and the log number of eligible voters. We do not report coefficients of squared and tripled variables. ***, **, and * indicate that coefficients are significantly different from zero according to two-tailed t-statistics. Table 6 - Sensitivity analysis for Model 2c in Table 5 Explanatory variable Log council sizeit Log populationit Log incomeit Unemployment rateit Augmented Model 2 0,136 *** 0,043 -7,610 * 4,078 0,054 *** 0,015 -1,100 *** 0,375 LAD for Model 2c 0,160 *** 0,020 1,686 1,756 0,097 *** 0,012 - Council size ≤14 0,047 * 0,029 0,511 *** 0,038 0,091 *** 0,012 - Council size >14 and ≤30 0,071 * 0,038 0,554 *** 0,042 0,154 *** 0,014 - Council size >30 0,944 *** 0,294 0,301 0,190 0,244 *** 0,065 - Observations 20559 43175 24737 17754 684 Municipalities 2056 2056 1251 928 34 2 R 0,956 0,700 0,789 0,911 0,988 Fixed municipality effects Yes Yes Yes Yes Yes Fixed time effects Yes Yes Yes Yes Yes Notes: Augmented Model 2 includes the unemployment rate for each municipality and relies on less observations than the other models, because unemployment figures are not available for the whole time span considered. LAD is a median (least absolute deviations) regression version of Model 2c. In this case, the R2 is a pseudo-R2. For subsamples of specific council size, we always use the specification in Model 2. Notice that the parameter of log council size is identical to its fixed effects counterpart in Table 4, if the lefthand-side of the model is log (expenditure/income) or log (expenditure/population) instead of log expenditure. ***, **, and * indicate that coefficients are significantly different from zero according to twotailed t-statistics. Table 7 - Sensitivity analysis for Model 2c continued - The impact of party dominance on the council size effect on expenditures Explanatory variable Log council sizeit Log council sizeit × Large party fractionit Log council sizeit × Fraction of CSUit Log council sizeit × Fraction of SPDit Log council sizeit × Fraction of FPDit Log council sizeit × Fraction of Green Partyit Log council sizeit × Fraction of Free Votersit Log council sizeit × Fraction of Organised Voter Groupsit Log populationit Log incomeit All parties separately 0,046 ** 0,022 -0,001 0,004 0,001 0,004 -0,020 0,015 -0,159 * 0,086 30,413 37,762 0,003 0,006 0,013 1,247 0,116 *** 0,009 Large 4 parties 0,046 ** 0,022 -0,002 0,002 -0,031 1,247 0,116 *** 0,009 Observations 43088 43088 Municipalities 2056 2056 2 R 0,948 0,948 Fixed municipality effects Yes Yes Fixed time effects Yes Yes Notes: The large 4 parties are defined as the fraction of CSU, SPD, FDP, and the Green Party in total votes at the previous municipality election. The party shares involved in the interaction terms have generally been demeaned to ensure that the main effect of log council size measures the average treatment effect. Notice that a third-order polynomial is used for log population and log number of eligible voters as in Model 2c of Table 5. Hence, the coefficient of log populationit should be interpreted with care. ***, **, and * indicate that coefficients are significantly different from zero according to two-tailed t-statistics. Table 8 - Difference-in-difference regression-discontinuity-design analysis of the effect of municipality council size on municipality tax rates Explanatory variable Log council sizeit Log populationit Log incomeit Using a third-order polynomial about pop. & voters (Model 2c) Dependent variable is Debt Prop. tax A Prop. tax B Profit tax -0,030 3,630 ** 3,291 ** -0,898 0,064 1,480 1,436 0,814 18,589 *** 378,865 *** 790,195 *** 311,388 *** 3,569 82,812 80,314 46,083 0,012 -3,953 *** -4,357 *** -3,091 *** 0,025 0,583 0,565 0,321 Invest. exp. 0,094 0,068 3,401 3,382 0,190 *** 0,027 Observations 42266 39063 39063 43175 43161 Municipalities 2053 2056 2056 2056 2056 R2 0,799 0,935 0,911 0,856 0,714 Fixed municipality effects Yes Yes Yes Yes Yes Fixed time effects Yes Yes Yes Yes Yes Notes: Model 2a uses a third-order polynomial of log population (instead of relying on log population only as Model 2 in Table 4). In Model 2b, we use a third-order polynomial function of the log number of eligible voters instead. In Model 2c, we use a thirdorder polynomial of both log population and the log number of eligible voters. We do not report coefficients of squared and tripled variables. ***, **, and * indicate that coefficients are significantly different from zero according to two-tailed t-statistics.
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