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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 mod- els with externalities may be overstated because these models ignore agents’ heterogene- ity. We consider a neoclassical two-sector growth model with technological externalities. Agents are heterogenous in 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 in- verse of absolute risk aversion is a convex (respectively concave) function homogeneity (heterogeneity) tends to neutralize the external effects and eliminate indeterminacy.

Suggested Citation

  • Christian Ghiglino & Marielle Olszak-Duquenne, 2004. "On the Impact of Heterogeneity on Indeterminacy," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 2004.09, Institut d'Economie et Econométrie, Université de Genève.
  • Handle: RePEc:gen:geneem:2004.09
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    References listed on IDEAS

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    1. 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;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 43-68, January.
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    8. Berthold Herrendorf & Akos Valentinyi & Robert Waldmann, 2000. "Ruling Out Multiplicity and Indeterminacy: The Role of Heterogeneity," Review of Economic Studies, Oxford University Press, vol. 67(2), pages 295-307.
    9. Bewley, Truman, 1982. "An integration of equilibrium theory and turnpike theory," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 233-267, September.
    10. Ghiglino, Christian, 2005. "Wealth inequality and dynamic stability," Journal of Economic Theory, Elsevier, vol. 124(1), pages 106-115, September.
    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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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Hori, Katsuhiko, 2007. "Indeterminacy in a monetary economy with heterogeneous agents," MPRA Paper 49316, University Library of Munich, Germany.
    4. KONDO Atsumasa, "undated". "The Role of Productivity Growth Rates for Rising Inequality in an Economy with Heterogeneous Agents," ESRI Discussion paper series 326, Economic and Social Research Institute (ESRI).
    5. 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).
    6. 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.
    7. Hippolyte d'Albis & Emmanuelle Augeraud-véron, 2009. "Competitive Growth In A Life-Cycle Model: Existence And Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 459-484, May.
    8. Mino, Kazuo, 2008. "Financial integration and volatility in a two-country world," MPRA Paper 16953, University Library of Munich, Germany.
    9. 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.
    10. Hu, Yunfang & Mino, Kazuo, 2013. "Trade structure and belief-driven fluctuations in a global economy," Journal of International Economics, Elsevier, vol. 90(2), pages 414-424.
    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. Yunfang Hu & Kazuo Mino, 2011. "Globalization and Volatility under Alternative Trade Structures," KIER Working Papers 791, Kyoto University, Institute of Economic Research.
    13. Daniel R. Carroll & Eric R. Young, 2009. "A note on sunspots with heterogeneous agents," Working Paper 0906, Federal Reserve Bank of Cleveland.
    14. Ghiglino, Christian, 2007. "Trade, redistribution and indeterminacy," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 365-389, April.

    More about this item

    Keywords

    endogenous growth; heterogeneity; indeterminacy; inequalities; income distribution.;

    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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