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On The Impact Of Heterogeneity On Indeterminacy

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  • Christian Ghiglino
  • Marielle Olszak-Duquenne

Abstract

Some recent research indicates that the occurrence of indeterminacy in models with externalities may be overstated because these models ignore agents' heterogeneity. We consider a neoclassical two-sector growth model with technological externalities. Agents are heterogeneous with respect to their shares of the initial stock of capital and in labor endowments. We find that the sign of the effect of inequality on indeterminacy is not pinned down by the standard properties of preferences. However, when the inverse of absolute risk aversion is a convex (respectively concave) function, homogeneity (heterogeneity) tends to neutralize the external effects and eliminate indeterminacy. Copyright 2005 by the Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.

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Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 46 (2005)
Issue (Month): 1 (02)
Pages: 171-188

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Handle: RePEc:ier:iecrev:v:46:y:2005:i:1:p:171-188
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Find related papers by JEL classification:
  • D30 - Microeconomics - - Distribution - - - General
  • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
  • D90 - Microeconomics - - Intertemporal Choice - - - General
  • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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  1. Timothy J. Kehoe & David K. Levine & Paul Romer, 1990. "Determinacy of Equilibrium in Dynamic Models with Finitely Many Consumers," Levine's Working Paper Archive 165, David K. Levine.
  2. Gollier, Christian, 2001. "Wealth Inequality and Asset Pricing," Review of Economic Studies, Wiley Blackwell, vol. 68(1), pages 181-203, January.
  3. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-92, July.
  4. Michele Boldrin & Aldo Rustichini, 2010. "Growth and Indeterminacy in Dynamic Models with Externalities," Levine's Working Paper Archive 1382, David K. Levine.
  5. Christian Ghiglino, 2003. "Wealth inequality and dynamic stability," Diskussionsschriften dp0310, Universitaet Bern, Departement Volkswirtschaft.
  6. Herrendorf, Berthold & Valentinyi, Akos & Waldmann, Robert, 2000. "Ruling Out Multiplicity and Indeterminacy: The Role of Heterogeneity," Review of Economic Studies, Wiley Blackwell, vol. 67(2), pages 295-307, April.
  7. Bewley, Truman, 1982. "An integration of equilibrium theory and turnpike theory," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 233-267, September.
  8. Yano, Makoto, 1991. "Temporary transfers in a simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 54(2), pages 372-388, August.
  9. Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992. "On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems," Economic Theory, Springer, vol. 2(1), pages 43-68, January.
  10. Kiminori Matsuyama, 1990. "Increasing Returns, Industrialization and Indeterminacy of Equilibrium," Discussion Papers 878, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. Yano, Makoto, 1984. "The turnpike of dynamic general equilibrium paths and its insensitivity to initial conditions," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 235-254, December.
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Cited by:

  1. Ghiglino, Christian & Venditti, Alain, 2007. "Wealth inequality, preference heterogeneity and macroeconomic volatility in two-sector economies," Journal of Economic Theory, Elsevier, vol. 135(1), pages 414-441, July.
  2. Yunfang Hu & Kazuo Mino, 2013. "Trade Structure and Belief-Driven Fluctuations in a Global Economy," KIER Working Papers 841, Kyoto University, Institute of Economic Research.
  3. Hennessy, David A. & Lapan, Harvey E., 2006. "On the nature of certainty equivalent functionals," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 1-10, December.
  4. Bosi, Stefano & Seegmuller, Thomas, 2008. "Can heterogeneous preferences stabilize endogenous fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 32(2), pages 624-647, February.
  5. Hori, Katsuhiko, 2007. "Indeterminacy in a monetary economy with heterogeneous agents," MPRA Paper 49316, University Library of Munich, Germany.
  6. repec:hal:journl:halshs-00194250 is not listed on IDEAS
  7. Ghiglino, Christian, 2007. "Trade, redistribution and indeterminacy," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 365-389, April.
  8. Stefano Bosi & Thomas Seegmuller, 2005. "Can Heterogeneous Preferences Stabilize Endogenous Fluctuations?," Documents de recherche 05-09, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
  9. Stefano Bosi & Thomas Seegmuller, 2008. "Can Heterogeneous Preferences Stabilize Endogenous Fluctuations?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00266713, HAL.
  10. repec:inr:wpaper:246036 is not listed on IDEAS
  11. Yunfang Hu & Kazuo Mino, 2009. "Financial Integration and Aggregate Stability," Discussion Papers in Economics and Business 09-01, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
  12. Mino, Kazuo, 2008. "Financial integration and volatility in a two-country world," MPRA Paper 16953, University Library of Munich, Germany.
  13. Daniel R. Carroll & Eric R. Young, 2009. "A note on sunspots with heterogeneous agents," Working Paper 0906, Federal Reserve Bank of Cleveland.
  14. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2009. "Competitive Growth in a Life-cycle Model: Existence and Dynamics," Post-Print hal-00630459, HAL.
  15. Kazuo Mino, 2008. "Preference Structure and Volatility in a Financially Integrated World," Discussion Papers in Economics and Business 08-05, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
  16. Yunfang Hu & Kazuo Mino, 2011. "Globalization and Volatility under Alternative Trade Structures," KIER Working Papers 791, Kyoto University, Institute of Economic Research.

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