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The impact of heterogeneity on indeterminacy

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  • Christian Ghiglino
  • Marielle Olszak-Duquenne

Abstract

The aim of the paper is to explore the link between agent's heterogeneity and indeterminacy in a general equilibrium economy. The framework is provided by the two-sector growth model with technological externalities of Boldrin and Rustichini (1994) in which heterogeneous agents are introduced. We first show that the occurrence of indeterminacy depends on the distribution in labor endowments and in shares on initial capital among the agents as well as on preferences and technology. We find that the sign of the effect of heterogeneity on indeterminacy is not pinned down by the standard properties of preferences, a fact that might be surprising in view of some recent results (as in Herrendorf et al. (2000)). However, when risk aversion is a concave or a slightly convex function, the heterogeneity is a factor that opposes the external effects in generating indeterminacy.

Suggested Citation

  • Christian Ghiglino & Marielle Olszak-Duquenne, 2002. "The impact of heterogeneity on indeterminacy," Diskussionsschriften dp0213, Universitaet Bern, Departement Volkswirtschaft.
    • Handle: RePEc:ube:dpvwib:dp0213
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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. Ghiglino, Christian & Sorger, Gerhard, 2002. "Poverty Traps, Indeterminacy, and the Wealth Distribution," Journal of Economic Theory, Elsevier, vol. 105(1), pages 120-139, July.
    9. Santos, M.S., 1989. "Differentiability And Comparative Analysis In Discrete-Time Infinite-Horizon Optimization Problems," UFAE and IAE Working Papers 127-89, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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    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.
    12. Christian Ghiglino & Marielle Olszak-Duquenne, 2001. "Inequalities and fluctuations in a dynamic general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 17(1), pages 1-24.
    13. Makoto Yano, 1998. "On the Dual Stability of a von Neumann Facet and the Inefficacy of Temporary Fiscal Policy," Econometrica, Econometric Society, vol. 66(2), pages 427-452, March.
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    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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.
    2. Yunfang Hu & Kazuo Mino, 2009. "Financial Integration and Aggregate Stability," Discussion Papers in Economics and Business 09-01, Osaka University, Graduate School of Economics.
    3. 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.
    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. Alexis Anagnostopoulos & Eva Carceles‐Poveda & Yair Tauman, 2021. "Value Preserving Welfare Weights For Social Optimization Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(4), pages 1627-1653, November.
    6. 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).
    7. Mino, Kazuo, 2008. "Financial integration and volatility in a two-country world," MPRA Paper 16953, University Library of Munich, Germany.
    8. 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.
    9. Kazuo Mino, 2009. "Preference Structure and Volatility in a Financially Integrated World," Springer Books, in: Takashi Kamihigashi & Laixun Zhao (ed.), International Trade and Economic Dynamics, pages 323-341, Springer.
    10. Emmanuelle Augeraud-Véron & Arnaud Ducrot, 2019. "Spatial externality and indeterminacy," Post-Print hal-02306568, HAL.
    11. 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.
    12. Sanou Issa, 2021. "Jealousy and Wealth Inequality: The Cases of Heterogeneous Preferences and Elastic Labor Supply," Working Papers hal-03408115, HAL.
    13. Ghiglino, Christian, 2007. "Trade, redistribution and indeterminacy," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 365-389, April.
    14. Stefano Bosi & Thomas Seegmuller, 2007. "À propos du rôle (dé)stabilisateur de l'hétérogénéité
      dans les économies à générations imbriquées      ," Post-Print halshs-00194250, HAL.
    15. Hori, Katsuhiko, 2007. "Indeterminacy in a monetary economy with heterogeneous agents," MPRA Paper 49316, University Library of Munich, Germany.
    16. Yunfang Hu & Kazuo Mino, 2011. "Globalization and Volatility under Alternative Trade Structures," KIER Working Papers 791, Kyoto University, Institute of Economic Research.
    17. Daniel R. Carroll & Eric Young, 2009. "A note on sunspots with heterogeneous agents," Working Papers (Old Series) 0906, Federal Reserve Bank of Cleveland.

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    More about this item

    Keywords

    Endogenous growth; Heterogeneity; Indeterminacy; Inequalities;
    All these keywords.

    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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