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Determinacy of Equilibrium in an Overlapping Generations Model with Heterogenous Agents

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  • Nourry, C.
  • Vendetti, A.

Abstract

We consider the determinacy of perfect foresight equilibrium near a steady state in an overlapping generations model with production and both altruistic and non altruistic agents having distinct utility functions. The proportions of each type of consumers is exogenously given. Such a model may be interpreted as both a particular case and an extension of the one considered by Muller and Woodford(1988) in which both finite and infinite lived agents coexist.

Suggested Citation

  • Nourry, C. & Vendetti, A., 1998. "Determinacy of Equilibrium in an Overlapping Generations Model with Heterogenous Agents," G.R.E.Q.A.M. 98a02, Universite Aix-Marseille III.
    • Handle: RePEc:fth:aixmeq:98a02
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    References listed on IDEAS

    as
    1. Oded Galor & Harl E. Ryder, 1988. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Working Papers 1988-07, Brown University, Department of Economics.
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    3. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    4. Philippe Michel & Pierre Pestieau, 1998. "Fiscal Policy in a Growth Model with Both Altruistic and Nonaltruistic Agents," Southern Economic Journal, John Wiley & Sons, vol. 64(3), pages 682-697, January.
    5. Kehoe, Timothy J. & Levine, David K. & Romer, Paul M., 1990. "Determinacy of equilibria in dynamic models with finitely many consumers," Journal of Economic Theory, Elsevier, vol. 50(1), pages 1-21, February.
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    10. Jess Benhabib & Kazuo Nishimura, 2012. "Indeterminacy and Sunspots with Constant Returns," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 311-346, Springer.
    11. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    12. 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.
    13. 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.
    14. Weil, Philippe, 1987. "Love thy children : Reflections on the Barro debt neutrality theorem," Journal of Monetary Economics, Elsevier, vol. 19(3), pages 377-391, May.
    15. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
    16. Hori, Hajime & Kanaya, Sadao, 1989. "Utility functionals with nonpaternalistic intergenerational altruism," Journal of Economic Theory, Elsevier, vol. 49(2), pages 241-265, December.
    17. repec:hal:spmain:info:hdl:2441/8711 is not listed on IDEAS
    18. Muller, Walter III & Woodford, Michael, 1988. "Determinacy of equilibrium in stationary economies with both finite and infinite lived consumers," Journal of Economic Theory, Elsevier, vol. 46(2), pages 255-290, December.
    19. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
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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. MICHEL, Philippe & PESTIEAU, Pierre, 2002. "Fiscal policy with agents differing in altruism and in ability," LIDAM Discussion Papers CORE 2002049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. 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).
    4. Jacques Le Cacheux & Vincent Touzé, 2003. "Vieillissement et richesse des nations," Revue de l'OFCE, Presses de Sciences-Po, vol. 84(1), pages 47-91.
    5. Gomes, Orlando, 2006. "Heterogeneous Researchers in a Two-Sector Representative Consumer Economy," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 60(2), November.
    6. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2012. "Discontinuous Initial Value Problems for Funtional Differential-Algebraic Equations of Mixed Type," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00717412, HAL.
    7. repec:hal:spmain:info:hdl:2441/2087 is not listed on IDEAS
    8. Been-Lon Chen & Angus Chu, 2010. "On R&D spillovers, multiple equilibria and indeterminacy," Journal of Economics, Springer, vol. 100(3), pages 247-263, July.
    9. Stefano Bosi & Thai Ha-Huy & Ngoc-Sang Pham, 2019. "Rational bubbles in altruistic economies: when Tirole meets Ramsey," Economics Bulletin, AccessEcon, vol. 39(2), pages 816-829.
    10. Pierre Pestieau & Emmanuel Thibault, 2012. "Love thy children or money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 31-57, May.
    11. Mitra, Tapan & Nishimura, Kazuo, 2001. "Introduction to Intertemporal Equilibrium Theory: Indeterminacy, Bifurcations, and Stability," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 1-12, January.
    12. Emmanuel Thibault, 2008. "Dynamic efficiency and intergenerational altruism," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 679-687, July.
    13. Thibault, Emmanuel, 2004. "The power of love," Economics Letters, Elsevier, vol. 84(2), pages 183-189, August.

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    More about this item

    Keywords

    ECONOMIC EQUILIBRIUM ; GENERATIONS;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • O21 - Economic Development, Innovation, Technological Change, and Growth - - Development Planning and Policy - - - Planning Models; Planning Policy

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