IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/23697.html
   My bibliography  Save this paper

Public expenditure on health and private old-age insurance in an OLG growth model with endogenous fertility: chaotic cycles under perfect foresight

Author

Listed:
  • Fanti, Luciano
  • Gori, Luca

Abstract

This paper analyses the dynamics of a simple overlapping generations economy with endogenous longevity, endogenous fertility and private transfers from children to parents. In this context, it is shown that both the public provision of health care services, which determines the individual length of life, and the size of the intra-family transfer may be a source of chaotic cycles when individuals are perfect foresighted. However, such economic factors also have the potential to ultimately suppress undesirable chaotic fluctuations. This suggests that the equilibrium dynamics of an OLG growth model may endogenously reconcile the existence of both irregular business cycles and the global stability of the economic system.

Suggested Citation

  • Fanti, Luciano & Gori, Luca, 2010. "Public expenditure on health and private old-age insurance in an OLG growth model with endogenous fertility: chaotic cycles under perfect foresight," MPRA Paper 23697, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:23697
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/23697/1/MPRA_paper_23697.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zhang, Junsen & Nishimura, Kazuo, 1993. "The old-age security hypothesis revisited," Journal of Development Economics, Elsevier, vol. 41(1), pages 191-202, June.
    2. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    3. K Blackburn & H Issa, 2002. "Endogenous Life Expectancy in a Simple Model of Growth," Economics Discussion Paper Series 0217, Economics, The University of Manchester.
    4. Bhattacharya, Joydeep & Qiao, Xue, 2005. "Public and Private Expenditures on Health in a Growth Model," Staff General Research Papers Archive 12378, Iowa State University, Department of Economics.
    5. Gary S. Becker & Kevin M. Murphy & Robert Tamura, 1994. "Human Capital, Fertility, and Economic Growth," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 323-350, National Bureau of Economic Research, Inc.
    6. Tamara Fioroni, 2010. "Optimal savings and health spending over the life cycle," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 11(4), pages 355-365, August.
    7. Rupa Chakrabarti, 1999. "Endogenous fertility and growth in a model with old age support," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 393-416.
    8. Luciano Fanti & Luca Gori, 2009. "Endogenous fertility, endogenous lifetime and economic growth: the role of health and child policies," Discussion Papers 2009/91, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    9. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
    10. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
    11. Cazzavillan, Guido, 2001. "Indeterminacy and Endogenous Fluctuations with Arbitrarily Small Externalities," Journal of Economic Theory, Elsevier, vol. 101(1), pages 133-157, November.
    12. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    13. Galor, Oded & Weil, David N, 1996. "The Gender Gap, Fertility, and Growth," American Economic Review, American Economic Association, vol. 86(3), pages 374-387, June.
    14. van Groezen, Bas & Leers, Theo & Meijdam, Lex, 2003. "Social security and endogenous fertility: pensions and child allowances as siamese twins," Journal of Public Economics, Elsevier, vol. 87(2), pages 233-251, February.
    15. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    16. Michael C. M. Leung & Yong Wang, 2010. "Endogenous Health Care, Life Expectancy And Economic Growth," Pacific Economic Review, Wiley Blackwell, vol. 15(1), pages 11-31, February.
    17. Bas Groezen & Lex Meijdam, 2008. "Growing old and staying young: population policy in an ageing closed economy," Journal of Population Economics, Springer;European Society for Population Economics, vol. 21(3), pages 573-588, July.
    18. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 1(4), pages 285-301.
    19. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    20. Ehrlich, Isaac & Lui, Francis T, 1991. "Intergenerational Trade, Longevity, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1029-1059, October.
    21. Berthold U. Wigger, 1999. "Public Pensions and Growth," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 56(2), pages 241-241, June.
    22. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    23. Cazzavillan, Guido & Lloyd-Braga, Teresa & Pintus, Patrick A., 1998. "Multiple Steady States and Endogenous Fluctuations with Increasing Returns to Scale in Production," Journal of Economic Theory, Elsevier, vol. 80(1), pages 60-107, May.
    24. Morand, Olivier F, 1999. "Endogenous Fertility, Income Distribution, and Growth," Journal of Economic Growth, Springer, vol. 4(3), pages 331-349, September.
    25. Berthold U. Wigger, 1999. "Pay-as-you-go financed public pensions in a model of endogenous growth and fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 12(4), pages 625-640.
    26. Blackburn, Keith & Cipriani, Giam Pietro, 2002. "A model of longevity, fertility and growth," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 187-204, February.
    27. Raut, L K & Srinivasan, T N, 1994. "Dynamics of Endogenous Growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 777-790, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    3. Gori, Luca & Sodini, Mauro, 2020. "Endogenous labour supply, endogenous lifetime and economic development," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 238-259.
    4. Potrafke, Niklas, 2010. "The growth of public health expenditures in OECD countries: Do government ideology and electoral motives matter?," Journal of Health Economics, Elsevier, vol. 29(6), pages 797-810, December.
    5. Luca Gori & Mauro Sodini, 2011. "Nonlinear Dynamics in an OLG Growth Model with Young and Old Age Labour Supply: The Role of Public Health Expenditure," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 261-275, October.
    6. 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.
    7. Fanti, Luciano & Gori, Luca, 2010. "Endogenous fertility and development traps with endogenous lifetime," MPRA Paper 26147, University Library of Munich, Germany.
    8. 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.
    9. Peter J. Stauvermann & Ronald R. Kumar, 2016. "Sustainability of A Pay-as-you-Go Pension System in A Small Open Economy with Ageing, Human Capital and Endogenous Fertility," Metroeconomica, Wiley Blackwell, vol. 67(1), pages 2-20, February.
    10. 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.
    11. Wei-Bin Zhang, 2014. "Endogenous population with human and physical capital accumulation," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 61(3), pages 231-252, September.
    12. Fanti, Luciano & Gori, Luca, 2009. "A two-sector OLG economy: economic growth and demographic behaviour," MPRA Paper 18869, University Library of Munich, Germany.
    13. Luciano Fanti, 2012. "Endogenous labour supply, habits and aspirations," Discussion Papers 2012/144, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    14. Stelter, Robert, 2014. "Over-aging: Are present human populations too old?," Thuenen-Series of Applied Economic Theory 137, University of Rostock, Institute of Economics.
    15. Siew Ling Yew & Jie Zhang, 2018. "Health spending, savings and fertility in a lifecycle‐dynastic model with longevity externalities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(1), pages 186-215, February.
    16. 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.
    17. Luciano Fanti & Luca Gori, 2010. "A two-sector overlapping generations economy: economic growth and multiple equilibria," Discussion Papers 2010/100, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    18. 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.
    19. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, April.
    20. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.

    More about this item

    Keywords

    Endogenous fertility; OLG model; Perfect foresight; Private old-age support; Public health care services;
    All these keywords.

    JEL classification:

    • J14 - Labor and Demographic Economics - - Demographic Economics - - - Economics of the Elderly; Economics of the Handicapped; Non-Labor Market Discrimination
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • J18 - Labor and Demographic Economics - - Demographic Economics - - - Public Policy
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:23697. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.