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Wealth inequality and dynamic stability

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  • Christian Ghiglino

Abstract

In this paper we explore the link between wealth inequality and stability in a two-sector neoclassical growth model with heterogeneous agents. The stability of the steady state depends on the various parameters of the model and in particular on individual preferences. We show that when consumers have identical preferences and the inverse of absolute risk aversion (or risk tolerance) is a strictly convex function, inequality is a factor that favors instability. In the opposite case, inequality favors stability. Our characterization also shows that whenever absolute risk tolerance is linear, as when preferences exhibit hyperbolic absolute risk aversion (HARA), wealth heterogeneity is neutral. As there is not yet evidence on the concavity of absolute risk tolerance, our results unfortunately do not lead to a unique conclusion on the sign of the effect of wealth inequality on stability.

Suggested Citation

  • Christian Ghiglino, 2003. "Wealth inequality and dynamic stability," Diskussionsschriften dp0310, Universitaet Bern, Departement Volkswirtschaft.
    • Handle: RePEc:ube:dpvwib:dp0310
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    References listed on IDEAS

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    1. Santos, Manuel S., 1992. "Differentiability and comparative analysis in discrete-time infinite-horizon optimization," Journal of Economic Theory, Elsevier, vol. 57(1), pages 222-229.
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    7. Cecilia Garcia-Penalosa & Eve Caroli & Philippe Aghion, 1999. "Inequality and Economic Growth: The Perspective of the New Growth Theories," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1615-1660, December.
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    11. Ghiglino, Christian & Sorger, Gerhard, 2002. "Poverty Traps, Indeterminacy, and the Wealth Distribution," Journal of Economic Theory, Elsevier, vol. 105(1), pages 120-139, July.
    12. repec:dau:papers:123456789/10091 is not listed on IDEAS
    13. 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).
    14. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    15. 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.
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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. Pelgrin, Florian & Venditti, Alain, 2022. "On the long-run fluctuations of inheritance in two-sector OLG models," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    5. 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).
    6. Bosi, Stefano & Seegmuller, Thomas, 2006. "Optimal cycles and social inequality: What do we learn from the Gini index?," Research in Economics, Elsevier, vol. 60(1), pages 35-46, March.
    7. Stefano Bosi & Thomas Seegmuller, 2005. "Animal Spirits in Woodford and Reichlin Economies: The Representative Agent Does Matter," Documents de recherche 05-01, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    8. A. Tidu, 2023. "Dissecting inequality: conceptual problems, trends and drivers," Working Paper CRENoS 202313, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    9. Ghiglino, Christian, 2007. "Trade, redistribution and indeterminacy," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 365-389, April.
    10. Ingolf Schwarz, 2006. "Monetary Equilibria in a Baumol-Tobin Economy," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2006_15, Max Planck Institute for Research on Collective Goods.

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    More about this item

    Keywords

    Economic growth; Heterogeneity; Wealth and Income Inequality; Instability;
    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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