Discussion Papers No. 303, August 2001 Statistics Norway, Research Department Roger Bjørnstad Learned Helplessness, Discouraged Workers, and Multiple Unemployment Equilibria in a Search Model Abstract: Unemployment varies strongly between countries with comparable economic structure. Some economists have tried to explain these differences with institutional differences in the labour market. Instead, this paper focuses on a model with multiple equilibria so that the same socioeconomic structure can give rise to different levels of unemployment. Unemployed workers' search efficiency are modelled within an equilibrium search model and lay behind these results. In the model learned helplessness causes a pro-cyclical behavior of the aggregate search efficiency, also known as the discouraged worker effect. The model can distinguish between locally stable and unstable labour market equilibria. The analysis shows that if a shock in an antecedent variable brings unemployment above the unstable equilibrium, the economy will eventually stabilize in a state with an even higher level of unemployment. However, a shock that brings the variable back at its initial level will not be enough to bring unemployment back at the lower equilibrium. Hence, the model also offers an explanation of why unemployment seems to move more easily up than down. Keywords: Learned helplessness, discouraged workers, multiple unemployment equilibria, search effectiveness, long term unemployment JEL classification: J64, E24 Address: Roger Bjørnstad, Statistics Norway, Research Department, P.O.B. 8131 Dep, N0033 Oslo, Norway. E-mail: roger.bjornstad @ssb.no 1 Discussion Papers comprise research papers intended for international journals or books. 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Qlfnhoo dqg U1 Mdfnpdq +4<<4,1 Xqhpsor|phqw1 R{irug Xqlyhuvlw| Suhvv/ R{irug1 Olhp/ U1 dqg M1 K1 Olhp +4<;;,1 Sv|fkrorjlfdo Hhfwv ri Xqhpsor|phqw rq Zrunhu dqg wkhlu Idplolhv1 Mrxuqdo ri Vrfldo Lvvxhv/ 77 +7,/ ;:4381 Oruhq}/ H1 Q1 +4<97,1 Ghwhuplqlvwlf Qrqshulrglf Iorz1 Mrxuqdo ri Dwprvskhulf Vflhqfhv/ 53 / 4634741 Pdoolqfnurgw/ E1 dqg E1 U1 Iuhw} +4<;;,1 Vrfldo Vxssruw dqg wkh Lpsdfw ri Mre Orvv rq Roghu Surihvvlrqdov1 Mrxuqdo ri Frxqvholqj Sv|fkrorj|/ 68 +6,/ 5;45;91 Pdqqlqj/ D1 +4<<3,1 Lpshuihfw Frpshwlwlrq/ Pxowlsoh Htxloleuld dqg Xqhpsor|phqw Srolf|1 Wkh Hfrqrplf Mrxuqdo / 4844951 Pdqqlqj/ D1 +4<<5,1 Pxowlsoh Htxloleuld lq wkh Eulwlvk Oderxu Pdunhw1 Hxurshdq Hfrqrplf Uhylhz / 69 / 466646981 Pruwhqvhq/ G1 W1 +4<;5,1 Surshuw| Uljkwv dqg H!flhqf| lq Pdwlqj/ Udflqj/ dqg Uhodwhg Jdphv1 Dphulfdq Hfrqrplf Uhylhz / :5 / <9;<:<1 Pruwhqvhq/ G1 W1 +4<;<,1 Wkh Shuvlvwhqfh dqg Lqghwhuplqdf| ri Xqhpsor|phqw lq Vhdufk Htxloleulxp1 Vfdqglqdyldq Mrxuqdo ri Hfrqrplfv/ 67:6:31 Pruwhqvhq/ G1 W1 +4<<<,1 Htxloleulxp Xqhpsor|phqw G|qdplfv1 Lqwhuqdwlrqdo Hfrqrplf Uhylhz / ;;<<471 Pruwhqvhq/ G1 W1 dqg F1 D1 Slvvdulghv +4<<<,1 Qhz Ghyhorsphqwv lq Prghov ri Vhdufk lq wkh Oderxu Pdunhw1 Fhqwuh iru Hfrqrplf Srolf| Uhvhdufk Glvfxvvlrq Sdshu qr1 53861 RHFG +4<<7,1 Wkh RHFG Mrev Vwxg|/ Hylghqfh dqg H{sodqdwlrqv/ Sduw L 0 Oderxu Pdunhw Wuhqgv dqg Xqghuo|lqj Irufhv ri Fkdqjh1 Sdwwrq/ Z1 dqg S1 Qroohu +4<;7,1 Xqhpsor|phqw dqg \rxwk= D Orqjlwxglqdo Vwxg|1 Dxvwudoldq Mrxuqdo ri Sv|fkrorj|/ 69 / 6<<7461 Shwurqjror/ E1 +4<<<,1 Uh0Hpsor|phqw Suredelolwlhv dqg Uhwxuqv wr Pdwfklqj1 FHSU Glvfxvvlrq Sdshu Qr1 55991 4: Slvvdulghv/ F1 D1 +4<:<,1 Mre Pdwfklqjv zlwk Vwdwh Hpsor|phqw Djhqflhv dqg Udqgrp Vhdufk1 Wkh Hfrqrplf Mrxuqdo / ;< / ;4;;661 Slvvdulghv/ F1 D1 +4<<3,1 Htxloleulxp Xqhpsor|phqw Wkhru|1 Edvlo Eodfnzhoo Owg/ R{irug/ XN1 Sodww/ V1 +4<;7,1 Xqhpsor|phqw dqg Vxlflgdo Ehkdylru= D Uhylhz ri wkh Olwhudwxuh1 Vrfldo Vflhqfh dqg Phglflqh/ 4< / <64481 Urwwhu/ M1 E1 +4<87,1 Vrfldo Ohduqlqj dqg Folqlfdo Sv|fkrorj|1 Suhqwlfh0Kdoo/ Hq0 johzrrg Folv/ Qhz Mhuvh|1 Vdlqw0Sdxo/ J1 +4<<8,1 Wkh Kljk Xqhpsor|phqw Wuds1 Txduwhuo| Mrxqdo ri Hfr0 qrplfv/ 85:8831 Vfkrnndhuw/ H1 dqg O1 YdqRrwhjhp +4<<3,1 Vhq*v Frqfhsw ri wkh Olylqj Vwdqgdug Dssolhg wr wkh Ehojldq Xqhpsor|hg1 Uhfkhufkhv Hfrqrpltxhv gh Orxydlq/ 89 1 Vholjpdq/ P1 H1 S1 +4<:8,1 Khosohvvqhvv= Rq Ghsuhvvlrq/ Ghyhorsphqw dqg Ghdwk1 Z1 K1 Iuhhpdq/ Vdq Iudqflvfr1 Vhq/ D1 +4<<:,1 Lqhtxdolw|/ Xqhpsor|phqw dqg Frqwhpsrudu| Hxursh1 Lqwhuqdwlrqdo Oderxu Uhylhz / 469 +5,/ 4884:51 Vrorz/ U1 P1 +4<<8,1 Pdvv Xqhpsor|phqw dv d Vrfldo Sureohp1 Lq N1 Edvx/ S1 S1 dqg N1 Vx}xpxud +hgv1,/ Fkrlfh/ Zhoiduh/ dqg Ghyhorsphqw= D Ihvwvfkuliw lq Krqru ri Dpduw|d N1 Vhq/ 6466551 Foduhqgrq Suhvv/ R{irug1 Yurrp/ Y1 K1 +4<97,1 Zrun dqg Prwlydwlrq1 Zloh|/ Qhz \run1 Zhlw}pdq/ P1 O1 +4<;5,1 Lqfuhdvlqj Uhwxuqv dqg wkh Irxqgdwlrqv ri Xqhpsor|phqw Wkhru|1 Wkh Hfrqrplf Mrxuqdo / <5 / :;:;371 Zlqnhopdqq/ O1 dqg U1 Zlqnhopdqq +4<<;,1 Zk| duh wkh Xqhpsor|hg vr Xqkdss|B Hylghqfh iurp Sdqho Gdwd1 Hfrqrplfd/ 98 / 4481 Zruwpdq/ F1 dqg M1 Z1 Euhkp +4<:8,1 Uhvsrqvhv wr Xqfrqwurodeoh Rxwfrphv= Dq Lqwhjudwlrq ri Uhdfwdqfh Wkhru| dqg wkh Ohduqhg Khosohvvqhvv Prgho1 Dgydqfhv lq H{shulphqwdo Vrfldo Sv|fkrorj|/ ; 1 4; Dsshqgl{= D qxphulfdo h{dpsoh ri wkh prgho Khuh L dvvljq qxphulfdo ydoxhv wr wkh sdudphwhuv dqg wkh h{rjhqrxv yduldeohv lq wkh prgho lqwurgxfhg lq vhfwlrq 51 Iru wklv sxusrvh L qhhg ixqfwlrqdo irupv iru wkh glvwulexwlrq ixqfwlrq/ 8 / dqg wkh prwlydwlrq frvwv ixqfwlrq/ K1 L xvh wkh iroorzlqj vshflfdwlrqv= g E >c D 2 c K | ' 0 | c zkhuh >/ D/ 0 : f1 Wkhvh ixqfwlrqdo irupv lpso| wkdw wkh g*v duh qrupdoo| glv0 wulexwhg dfurvv lqglylgxdov zlwk d phdq htxdo wr > dqg zlwk d vwdqgdug ghyldwlrq ri D/ dqg wkdw wkh hodvwlflw| ri prwlydwlrq frvwv zlwk uhvshfw wr wkh xqhpsor|phqw ydfdqf| udwlr lv htxdo wr 0 Wkh prgho frqvlvwv ri wkh iroorzlqj sdudphwhuv dqg h{rjhqrxv yduldeohv= j w o k 0 q > D ' ' ' ' ' ' ' ' ' ' ' vhsdudwlrq udwh ydfdqf| udwh frpshqvdwlrq udwh glvfrxqw idfwru hodvwlflw| ri pdwfklqj zlwk uhvshfw wr djjuhjdwh uhfuxlwlqj lqwhqvlw| hodvwlflw| ri prwlydwlrq frvwv zlwk uhvshfw wr wkh xqhpsor|phqw ydfdqf| udwlr hpsor|phqw djhqf| pdwfklqj surgxfwlylw| sulydwh pdwfklqj surgxfwlylw| sdudphwhu sdudphwhu ghwhuphqlqj wkh hhfw ri xqhpsor|phqw gxudwlrq rq prwlydwlrq frvwv phdq ydoxh ri g vwdqgdug ghyldwlrq ri g Wkh sdudphwhu ydoxhv duh fkrvhq wr eh frqvlvwhqw zlwk wkh uhvwulfwlrqv lpsrvhg e| wkhru| dqg rq hpslulfdo revhuydwlrqv zkhuh srvvleoh1 Zkhuh wklv lv qrw srvvleoh/ sdudphwhu ydoxhv duh uhvwulfwhg vxfk wkdw pxowlsoh htxloleuld duh dvvxuhg1 Wkh re0 mhfwlyh lv qrw wr vkrz wkdw wkhuh duh pxowlsoh htxloleuld/ exw phuho| wr srlqw rxw wkdw iru uhdvrqdeoh sdudphwhu ydoxhv dqg ixqfwlrqdo irupv wkhuh pd| eh pxowlsoh htxloleuld1 L iroorz Eodqfkdug dqg Gldprqg +4<;<, zkr hvwlpdwh wkh djjuhjdwh uhfuxlwlqj lqwhqvlw| wr eh k ' fS iru wkh XV/ rwkhu vwxglhv vkrz vlplodu ydoxhv iru Hxurshdq frxqwulhv dv zhoo1 Dqgroidwwr +4<<9, fdofxodwh wkh XV ydfdqf| udwh wr eh ffbD edvhg rq d vwhdg| vwdwh dvvxpswlrq dqg rq d txduwhuo| vhsdudwlrq udwh ri fD1 Dv wkh Hxurshdq oderxu pdunhw vhhpv wr eh pruh uljlg/ L xvh d ydfdqf| udwh htxdo wr ' ffD dqg d prqwko| vhsdudwlrq udwh htxdo wr j ' ff2 Ixuwkhupruh/ L dvvxph wkdw wkh frpshqvdwlrq udwh lv htxdo wr w ' fS/ wkdw hpsor|phqw djhqf| pdwfklqj surgxfwlylw| lv htxdo wr ' f2S/ dqg wkdw wkh sulydwh surgxfwlylw| sdudphwhu lv htxdo wr ' f2.1 D uhdo lqwhuhvw udwh ri o ' fff shu txduwhu lv uhdvrqdeoh1 Lq dgglwlrq/ L kdyh dvvljq wkh ydoxh D ' fD zklfk lpsolhv wkdw g kdv d vwdqgdug 4< ghyldwlrq ri fD1 q lv vhw htxdo wr ffe1 Wkh phdq ydoxh ri g lv dvvxphg wr eh htxdo wr > ' f1 Dq hodvwlflw| ri prwlydwlrq frvwv zlwk uhvshfw wr wkh 0udwlr ri 0 ' lpsolhv wkdw prwlydwlrq frvwv uhodwlyh wr wkh zdjh ohyho iru wkh lqglylgxdo zlwk d phdq ydoxh ri g zkr kdv ehhq xqhpsor|hg iru H prqwkv duh f dqg 2 lq orzhu dqg xsshu htxloleulxp uhvshfwlyho|1 53 Recent publications in the series Discussion Papers 213 M. Søberg (1998): “EPA’s New Emissions Trading Mechanism: A Laboratory Evaluation” – A Comment 214 215 216 217 236 K. Nyborg (1998): Non-Verifiable Emissions, Voluntary Agreements, and Emission Taxes K. Ibenholt (1998): Material Accounting in a Macroeconomic Framework. Forecast of waste generated in manufacturing industries in Norway 237 H. C. Bjørnland (1998): Economic Fluctuations in a Small Open Economy - Real versus Nominal Stocks K-G. Lindquist (1998): The Response by the Norwegian Aluminium Industry to Changing Market Structure 238 L.C. Zhang (1998): Post-Stratification and Calibration – A Synthesis J.K. Dagsvik, A.S. Flaatten and H. Brunborg: A Behavioral Two-Sex Model 239 K.A. Brekke, R.B. Howarth and K. Nyborg (1998): Are there Social Limits to Growth? 240 R. B. Howarth and K. A. Brekke (1998): Status Preferences and Economic Growth 241 H. Medin, K. Nyborg and I. Bateman (1998): The Assumption of Equal Marginal Utility of Income: How Much Does it Matter? R. Aaberge and Y. Zhu: The Pattern of Household Savings during a Hyperinflation. The Case of Urban China in the Late 1980s 218 L.C. Zhang (1998): A Note on Post-stratification when Analyzing Binary Survey Data Subject to Non-response 219 T.J. Klette and J. Møen (1998): From Growth Theory to Technology Policy – Coordination Problems in Theory and Practice 242 L.C. Zhang (1998): Synthetic Graphical Modelling of Binary Panel Data Subject to Non-response. A Case Study B. Bye (1998): Labour Market Rigidities and Environmental Tax Reforms: Welfare Effects of Different Regimes 243 B.E. Naug (1999): Modelling the Demand for Imports and Domestic Output 220 221 J.K. Dagsvik (1998): Choice among Lotteries when Preferences are Stochastic 244 J. Sexton and A. R. Swensen (1999): ECM-algorithms that converge at the rate of EM 222 J.K. Dagsvik (1998): Nonparametric Identification of Discrete Choice Models 245 E. Berg, S. Kverndokk and K.E. Rosendahl (1999): Optimal Oil Exploration under Climate Treaties 223 L. Brubakk and J.K. Dagsvik (1998): Consumer Demand and Unobservable Product Attributes 246 J.K. Dagsvik and B.H. Vatne (1999): Is the Distribution of Income Compatible with a Stable Distribution? 224 E. Holmøy (1998): Potential Aggregate Gains from Improved Sectoral Efficiency: General Equilibrium Estimates for Norway 247 R. Johansen and J.K. Dagsvik (1999): The Dynamics of a Behavioral Two-Sex Demographic Model 248 225 B.H. Vatne and J.K. Dagsvik (1998): Estimation of Generalized Extreme Value Models by a Max-spectral Representation M. Søberg (1999): Asymmetric information and international tradable quota treaties. An experimental evaluation 249 226 I. Svendsen (1998): Rational Expectations in Price Setting – Tests Based on Norwegian Export Prices S. Grepperud, H. Wiig and F.A. Aune (1999): Maize Trade Liberalization vs. Fertilizer Subsidies in Tanzania: A CGE Model Analysis with Endogenous Soil Fertility 227 K.A. Brekke and R.B. Howarth (1998): The Social Contingency of Wants: Implications for Growth and the Environment 250 228 K.A. Brekke and E. Moxnes (1998): Do Models Improve Fishery Management? Empirical Evidence from a Experimental Study K.A. Brekke and Nils Chr. Stenseth (1999): A BioEconomic Approach to the study of Pastoralism, Famine and Cycles. Changes in ecological dynamics resulting from changes in socio-political factors 251 J.K. Dagsvik, Yu Zhu and R. Aaberge (1998): A Framework for Empirical Modelling of Consumer Demand with Latent Quality Attributes T. Fæhn and E. Holmøy (1999): Welfare Effects of Trade Liberalisation in Distorted Economies. A Dynamic General Equilibrium Assessment for Norway 252 R. Aaberge (1999): Sampling Errors and Cross-Country Comparisons of Income Inequality 253 I. Svendsen (1999): Female labour participation rates in Norway – trends and cycles 254 A. Langørgen and R. Aaberge: A Structural Approach for Measuring Fiscal Disparities 255 B. Halvorsen and B.M. Larsen (1999): Changes in the Pattern of Household Electricity Demand over Time 229 230 R. Aaberge, U. Colombino and S. Strøm (1998): Social Evaluation of Individual Welfare Effects from Income Taxation: Empirical Evidence Based on Italian Data for Married Couples 231 R. Nesbakken (1998): Residential Energy Consumption for Space Heating in Norwegian Households. A Discrete-Continuous Choice Approach 232 R. Nesbakken (1998): Price Sensitivity of Residential Energy Consumption in Norway 256 P. Boug (1999): The Demand for Labour and the Lucas Critique. Evidence from Norwegian Manufacturing 233 M. Søberg (1998): Uncertainty and International Negotiations on Tradable Quota Treaties 257 M. Rege (1999): Social Norms and Private Provision of Public Goods: Endogenous Peer Groups 234 J.K. Dagsvik and L. Brubakk: Price Indexes for Elementary Aggregates Derived from Behavioral Assumptions 258 L. Lindholt (1999): Beyond Kyoto: CO2 permit prices and the markets for fossil fuels 259 235 E. Biørn, K.-G. Lindquist and T. Skjerpen (1998): Random Coefficients and Unbalanced Panels: An Application on Data from Norwegian Chemical Plants R. Bjørnstad and R. Nymoen (1999): Wage and Profitability: Norwegian Manufacturing 1967-1998 21 260 T.O. Thoresen and K.O. Aarbu (1999): Income Responses to Tax Changes – Evidence from the Norwegian Tax Reform 261 B. Bye and K. Nyborg (1999): The Welfare Effects of Carbon Policies: Grandfathered Quotas versus Differentiated Taxes 262 T. Kornstad and T.O. Thoresen (1999): Means-testing the Child Benefit 263 M. Rønsen and M. Sundström (1999): Public Policies and the Employment Dynamics among new Mothers – A Comparison of Finland, Norway and Sweden 264 J.K. Dagsvik (2000): Multinomial Choice and Selectivity 265 Y. Li (2000): Modeling the Choice of Working when the Set of Job Opportunities is Latent 266 E. Holmøy and T. Hægeland (2000): Aggregate Productivity and Heterogeneous Firms 267 S. Kverndokk, L. Lindholt and K.E. Rosendahl (2000): Stabilisation of CO2 concentrations: Mitigation scenarios using the Petro model 282 M. Rege (2000): Networking Strategy: Cooperate Today in Order to Meet a Cooperator Tomorrow 283 P. Boug, Å. Cappelen and A.R. Swensen (2000): Expectations in Export Price Formation: Tests using Cointegrated VAR Models 284 E. Fjærli and R. Aaberge (2000): Tax Reforms, Dividend Policy and Trends in Income Inequality: Empirical Evidence based on Norwegian Data 285 L.-C. Zhang (2000): On dispersion preserving estimation of the mean of a binary variable from small areas 286 F.R. Aune, T. Bye and T.A. Johnsen (2000): Gas power generation in Norway: Good or bad for the climate? Revised version 287 A. Benedictow (2000): An Econometric Analysis of Exports of Metals: Product Differentiation and Limited Output Capacity 288 A. Langørgen (2000): Revealed Standards for Distributing Public Home-Care on Clients 289 T. Skjerpen and A.R. Swensen (2000): Testing for longrun homogeneity in the Linear Almost Ideal Demand System. An application on Norwegian quarterly data for non-durables 268 E. Biørn, K-G. Lindquist and T. Skjerpen (2000): Micro Data On Capital Inputs: Attempts to Reconcile Stock and Flow Information 290 269 I. Aslaksen and C. Koren (2000): Child Care in the Welfare State. A critique of the Rosen model K.A. Brekke, S. Kverndokk and K. Nyborg (2000): An Economic Model of Moral Motivation 291 A. Raknerud and R. Golombek: Exit Dynamics with Rational Expectations 292 E. Biørn, K-G. Lindquist and T. Skjerpen (2000): Heterogeneity in Returns to Scale: A Random Coefficient Analysis with Unbalanced Panel Data 293 K-G. Lindquist and T. Skjerpen (2000): Explaining the change in skill structure of labour demand in Norwegian manufacturing 294 K. R. Wangen and E. Biørn (2001): Individual Heterogeneity and Price Responses in Tobacco Consumption: A Two-Commodity Analysis of Unbalanced Panel Data 295 A. Raknerud (2001): A State Space Approach for Estimating VAR Models for Panel Data with Latent Dynamic Components 270 R. Bjørnstad (2000): The Effect of Skill Mismatch on Wages in a small open Economy with Centralized Wage Setting: The Norwegian Case 271 R. Aaberge (2000): Ranking Intersecting Lorenz Curves 272 J.E. Roemer, R. Aaberge , U. Colombino, J, Fritzell, S.P. Jenkins, I. Marx, M. Page, E. Pommer, J. Ruiz-Castillo, M. Jesus SanSegundo, T. Tranaes, G.G.Wagner and I. Zubiri (2000): To what Extent do Fiscal Regimes Equalize Opportunities for Income Acquisition Among citizens? 273 I. Thomsen and L.-C. Zhang (2000): The Effect of Using Administrative Registers in Economic Short Term Statistics: The Norwegian Labour Force Survey as a Case Study 296 274 I. Thomsen, L.-C. Zhang and J. Sexton (2000): Markov Chain Generated Profile Likelihood Inference under Generalized Proportional to Size Non-ignorable Nonresponse J.T. Lind (2001): Tout est au mieux dans ce meilleur des ménages possibles. The Pangloss critique of equivalence scales 297 J.F. Bjørnstad and D.E. Sommervoll (2001): Modeling Binary Panel Data with Nonresponse 275 A. Bruvoll and H. Medin (2000): Factoring the environmental Kuznets curve. Evidence from Norway 298 276 I. Aslaksen, T. Wennemo and R. Aaberge (2000): "Birds of a feather flock together". The Impact of Choice of Spouse on Family Labor Income Inequality Taran Fæhn and Erling Holmøy (2001): Trade Liberalisation and Effects on Pollutive Emissions and Waste. A General Equilibrium Assessment for Norway 299 J.K. Dagsvik (2001): Compensated Variation in Random Utility Models 277 I. Aslaksen and K.A. Brekke (2000): Valuation of Social Capital and Environmental Externalities 300 K. Nyborg and M. Rege (2001): Does Public Policy Crowd Out Private Contributions to Public Goods? 278 H. Dale-Olsen and D. Rønningen (2000): The Importance of Definitions of Data and Observation Frequencies for Job and Worker Flows - Norwegian Experiences 1996-1997 301 T. Hægeland (2001): Experience and Schooling: Substitutes or Complements 302 279 K. Nyborg and M. Rege (2000): The Evolution of Considerate Smoking Behavior T. Hægeland (2001): Changing Returns to Education Across Cohorts. Selection, School System or Skills Obsolescence? 280 M. Søberg (2000): Imperfect competition, sequential auctions, and emissions trading: An experimental evaluation 303 R. Bjørnstad: (2001): Learned Helplessness, Discouraged Workers, and Multiple Unemployment Equilibria in a Search Model 281 L. Lindholt (2000): On Natural Resource Rent and the Wealth of a Nation. A Study Based on National Accounts in Norway 1930-95 22
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