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Co-existence of a representative agent type equilibrium with a non-representative agent type equilibrium

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  • Aiyagari, S. Rao

Abstract

We provide an example of an overlapping generations model with bequest motives and a non-negativity constraint on bequests which has at least two equilibria. In one equilibrium the bequest motive is operative at all dates, and the equilibrium is formally equivalent to that of a representative infinitely lived agent model. In the other equilibrium the bequest motive is never operative, and the equilibrium is formally equivalent to that of an overlapping generations model without a bequest motive. The example has obvious implications for the Ricardian equivalence doctrine and the neutrality of (lump-sum) tax-transfers across generations.

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  • Aiyagari, S. Rao, 1992. "Co-existence of a representative agent type equilibrium with a non-representative agent type equilibrium," Journal of Economic Theory, Elsevier, vol. 57(1), pages 230-236.
    • Handle: RePEc:eee:jetheo:v:57:y:1992:i:1:p:230-236
    DOI: 10.1016/S0022-0531(05)80050-X
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    References listed on IDEAS

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    1. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    2. Rao Aiyagari, S., 1989. "Equilibrium existence in an overlapping generations model with altruistic preferences," Journal of Economic Theory, Elsevier, vol. 47(1), pages 130-152, February.
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    Cited by:

    1. Michel, Philippe & Thibault, Emmanuel & Vidal, Jean-Pierre, 2006. "Intergenerational altruism and neoclassical growth models," Handbook on the Economics of Giving, Reciprocity and Altruism, in: S. Kolm & Jean Mercier Ythier (ed.), Handbook of the Economics of Giving, Altruism and Reciprocity, edition 1, volume 1, chapter 15, pages 1055-1106, Elsevier.
    2. Óscar Arce & David López-Salido, 2011. "Housing Bubbles," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 212-241, January.
    3. Dutta, Jayasri & Michel, Philippe, 1998. "The Distribution of Wealth with Imperfect Altruism," Journal of Economic Theory, Elsevier, vol. 82(2), pages 379-404, October.
    4. Lovo, Stefano & Polemarchakis, Herakles, 2010. "Myopia and monetary equilibria," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 925-936, September.
    5. Stefano Lovo, 2000. "Infinitely Lived Representative Agent Exchange Economy with Myopia," Working Papers hal-00598167, HAL.
    6. Vidal, J.-P., 1999. "Capital Mobility in a Dynastic Framework," G.R.E.Q.A.M. 99a21, Universite Aix-Marseille III.
    7. Nourry, Carine & Venditti, Alain, 2001. "Determinacy of Equilibrium in an Overlapping Generations Model with Heterogeneous Agents," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 230-255, January.
    8. Richard Barnett & Joydeep Bhattacharya & Helle Bunzel, 2013. "Deviant generations, Ricardian equivalence, and growth cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 367-396, January.
    9. Dmitri Vinogradov, 2003. "Macroeconomic evolution after a shock: the role for financial intermediation," Macroeconomics 0310007, University Library of Munich, Germany.
    10. Vidal, Jean-Pierre, 2000. "Capital Mobility in a Dynastic Framework," Oxford Economic Papers, Oxford University Press, vol. 52(3), pages 606-625, July.
    11. Pham, Ngoc-Sang, 2024. "The relationship between general equilibrium models with infinite-lived agents and overlapping generations models, and some applications," MPRA Paper 122659, University Library of Munich, Germany.
    12. Dmitri Vinogradov, 2004. "Macroeconomic evolution aftera shock: the role of financial intermediation," Money Macro and Finance (MMF) Research Group Conference 2003 106, Money Macro and Finance Research Group.

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