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Robustness of Multiple Equilibria in OLG Economies

Author

Listed:
  • Guido Cazzavillan

    (Universita Ca' Foscari di Venezia)

  • Patrick A. Pintus

    (Universite de la Mediterranee Aix-Marseilles II)

Abstract

This paper extends the standard Diamond's two-period OLG model of capital accumulation by introducing labor-leisure choice into the first-period of agents' life. Under the assumption of gross substitutability, we show that multiple intertemporal equilibria require both highly complementary inputs and a low fraction of consumption out of wage income by the young generation. On the contrary, if capital and labor are sufficiently substitutable, or if young agents consume a realistically large proportion of their wage income, multiple intertemporal equilibria and, therefore, endogenous fluctuations driven by self-fulfilling beliefs, are ruled out. We further illustrate, in contrast with the related literature, that intertemporal substitution in consumption across periods is a critical mechanism which enables short-lived agents to arbitrage away expectationally driven fluctuations when the ratio between saving and wage is reasonably low. As a result, the OLG model's predictions are substantially similar to the usual optimal growth model. (Copyright: Elsevier)

Suggested Citation

  • Guido Cazzavillan & Patrick A. Pintus, 2004. "Robustness of Multiple Equilibria in OLG Economies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 456-475, April.
  • Handle: RePEc:red:issued:v:7:y:2004:i:2:p:456-475
    DOI: 10.1016/j.red.2003.10.001
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    References listed on IDEAS

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    Cited by:

    1. Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2007. "Indeterminacy in dynamic models: When Diamond meets Ramsey," Journal of Economic Theory, Elsevier, vol. 134(1), pages 513-536, May.
    2. 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.
    3. Zhang, Yan & Chen, Yan, 2009. "Endogenous income taxes in OLG economies," MPRA Paper 16412, University Library of Munich, Germany.
    4. Thomas Seegmuller, 2009. "Capital-Labour Substitution And Endogenous Fluctuations: A Monopolistic Competition Approach With Variable Markup," The Japanese Economic Review, Japanese Economic Association, vol. 60(3), pages 301-319.
    5. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    6. Chen, Yan & Zhang, Yan, 2009. "Endogenous income taxes in OLG economies: A clarification," MPRA Paper 16824, University Library of Munich, Germany.
    7. Cazzavillan, Guido & Pintus, Patrick A., 2006. "Capital externalities in OLG economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(7), pages 1215-1231, July.
    8. Cazzavillan, Guido & Pintus, Patrick A., 2005. "On competitive cycles and sunspots in productive economies with a positive money stock," Research in Economics, Elsevier, vol. 59(2), pages 137-147, June.
    9. repec:spr:joptap:v:128:y:2006:i:2:d:10.1007_s10957-006-9019-6 is not listed on IDEAS
    10. repec:bla:jecrev:v:68:y:2017:i:3:p:333-351 is not listed on IDEAS
    11. Gomes, Orlando, 2009. "A two-dimensional non-equilibrium dynamic model," Structural Change and Economic Dynamics, Elsevier, vol. 20(3), pages 221-238, September.
    12. Chen, Yan & Zhang, Yan, 2010. "Externalities, income taxes and indeterminacy in OLG models," MPRA Paper 22370, University Library of Munich, Germany.
    13. Haruyama, Tetsugen & Park, Hyun, 2017. "A simple dynastic economy with parental time investment in children’s patience," Economic Modelling, Elsevier, vol. 61(C), pages 235-247.
    14. Andersen, Torben M. & Bhattacharya, Joydeep, 2013. "Unfunded Pensions And Endogenous Labor Supply," Macroeconomic Dynamics, Cambridge University Press, vol. 17(05), pages 971-997, July.
    15. Orlando Gomes, 2010. "Consumer confidence, endogenous growth and endogenous cycles," Journal of Economic Studies, Emerald Group Publishing, vol. 37(4), pages 377-404, September.
    16. repec:mje:mjejnl:v:10:y:2014:i:2:p:49-61 is not listed on IDEAS
    17. Mohanad Ismael, 2010. "Progressive income taxes and macroeconomic instability," Documents de recherche 10-13, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    18. Nicolas Dromel & Patrick-Antoine Pintus, 2006. "Are Progressive Fiscal Rules Stabilizing?," Working Papers halshs-00410452, HAL.
    19. repec:spr:joptap:v:128:y:2006:i:2:d:10.1007_s10957-006-9026-7 is not listed on IDEAS
    20. Mino, Kazuo, 2006. "Consumption Externalities and Capital Accumulation in an Overlapping Generations Economy," MPRA Paper 17016, University Library of Munich, Germany.
    21. C. Nourry & A. Venditti, 2006. "Overlapping Generations Model with Endogenous Labor Supply: General Formulation," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 355-377, February.
    22. Guido Cazzavillan & Patrick A. Pintus, 2006. "Endogenous business cycles and dynamic inefficiency," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3-4), pages 279-294.
    23. 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.
    24. Anna Agliari & George Vachadze, 2011. "Homoclinic and Heteroclinic Bifurcations in an Overlapping Generations Model with Credit Market Imperfection," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 241-260, October.
    25. Nicolas Dromel & Patrick-Antoine Pintus, 2006. "Are Progressive Fiscal Rules Stabilizing?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00410452, HAL.

    More about this item

    Keywords

    overlapping generations; endogenous labor supply; gross substitutability; multiple equilibria; endogenous fluctuations.;

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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