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Myopic and perfect foresight in the OLG model

Author

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  • Michel, Philippe

    (Université de la Méditerranée, IUF; GREQAM, Marseille)

  • de la Croix, David

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES) ; Belgian National Fund for Scientific Research (FNRS))

Abstract

We compare the dynamics under myopic foresight and under perfect foresight in an overlapping generations model with capital accumulation and two-period lived individuals. When the rational dynamics are defined and the myopic dynamics are monotonic, the study of myopic foresight allows to characterize the dynamics under perfect foresight. The study of myopic dynamics also allows to obtain a condition of uniqueness of the steady state that bears only on the second order derivatives of the utility and production functions.

Suggested Citation

  • Michel, Philippe & de la Croix, David, 1999. "Myopic and perfect foresight in the OLG model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1999014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  • Handle: RePEc:ctl:louvir:1999014
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    File URL: http://sites.uclouvain.be/econ/DP/IRES/9914.pdf
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    References listed on IDEAS

    as
    1. 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.
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    Cited by:

    1. Luciano Fanti & Luca Gori, 2012. "PAYG Pensions and Economic Cycles," Public Finance Review, , vol. 40(2), pages 240-269, March.
    2. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    3. Fanti, Luciano & Gori, Luca, 2010. "Economic growth and stability with public PAYG pensions and private intra-family old-age insurance," MPRA Paper 20727, University Library of Munich, Germany.
    4. Fanti, Luciano & Gori, Luca, 2011. "Public health spending, old-age productivity and economic growth: Chaotic cycles under perfect foresight," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 137-151.
    5. Chen, Hung-Ju & Li, Ming-Chia & Lin, Yung-Ju, 2008. "Chaotic dynamics in an overlapping generations model with myopic and adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 48-56, July.
    6. Richard Evans & Kerk Phillips, 2014. "OLG Life Cycle Model Transition Paths: Alternate Model Forecast Method," Computational Economics, Springer;Society for Computational Economics, vol. 43(1), pages 105-131, January.
    7. Luciano, Fanti & Luca, Gori & Cristiana, Mammana & Elisabetta, Michetti, 2016. "Complex dynamics in an OLG model of growth with inherited tastes," MPRA Paper 69906, University Library of Munich, Germany.
    8. Andreas Wagener, 2003. "Equilibrium dynamics with different types of pay-as-you-go pension schemes," Economics Bulletin, AccessEcon, vol. 8(6), pages 1-12.
    9. Fabien Prieur, 2009. "The environmental Kuznets curve in a world of irreversibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 57-90, July.
    10. Tikoudis, Ioannis & Sundberg, Marcus & Karlström, Anders, 2012. "The effects of transport infrastructure on regional economic development: A simulated spatial overlapping generations model with heterogenous skill," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 5(2), pages 77-101.
    11. Luciano Fanti & Luca Gori & Fabio Tramontana, 2014. "Endogenous lifetime, accidental bequests and economic growth," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 81-98, April.
    12. Li, Jinlu & Lin, Shuanglin, 2008. "Existence and uniqueness of steady-state equilibrium in a two-sector overlapping generations model," Journal of Economic Theory, Elsevier, vol. 141(1), pages 255-275, July.
    13. Augier, Laurent & Yaly, Amy, 2013. "Economic growth and disease in the OLG model: The HIV/AIDS case," Economic Modelling, Elsevier, vol. 33(C), pages 471-481.
    14. Fanti, Luciano & Gori, Luca, 2010. "Complex equilibrium dynamics in a simple OLG model of neoclassical growth with endogenous retirement age and public pensions," MPRA Paper 23694, University Library of Munich, Germany.
    15. Leers, T., 2001. "Public pensions and population ageing : An economic analysis of fertility, migration and social-security policy," Other publications TiSEM 0c2c876f-d263-4d1e-b820-c, Tilburg University, School of Economics and Management.
    16. repec:ebl:ecbull:v:8:y:2003:i:6:p:1-12 is not listed on IDEAS
    17. Irmen, Andreas, 2009. "Population Aging and the Direction of Technical Change," Working Papers 0493, University of Heidelberg, Department of Economics.
    18. Chen, Hung-Ju & Li, Ming-Chia, 2008. "Productive public expenditures, expectation formations and nonlinear dynamics," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 109-126, July.
    19. Thibault, Emmanuel, 2004. "The power of love," Economics Letters, Elsevier, vol. 84(2), pages 183-189, August.
    20. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
    21. Wolfgang Kuhle, 2012. "The Dynamics of Utility in the Neoclassical OLG Model," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2012_22, Max Planck Institute for Research on Collective Goods.
    22. Luciano Fanti & Luca Gori, 2014. "An OLG model of growth with longevity: when grandparents take care of grandchildren," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 13(1), pages 39-51, April.
    23. Dimitrios Varvarigos, 2017. "Endogenous cycles and human capital," Journal of Economics, Springer, vol. 120(1), pages 31-45, January.
    24. Luciano Fanti & Luca Gori, 2008. "PAYG pensions and economic cycles: exogenous versus endogenous fertility," Discussion Papers 2008/75, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.

    More about this item

    Keywords

    perfect foresight; myopic foresight; stability;

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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