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On the Golden Rule of capital accumulation under endogenous longevity

Author

Listed:
  • David de la Croix

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain)

  • Grégory Ponthière

    (PSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

Abstract

Health spending obviously increase with capital per worker. This paper derives the optimal accumulation policy in such a context. The optimal accumulation rule depends on whether health spending improve consumption enjoyment, and on whether the planner adheres to an instantaneous welfarist view or to a complete life view. First, when the only role of health is to enhance longevity, we show that the capital per worker maximizing steady-state consumption per head is inferior to the standard Golden Rule. Moreover, the capital per worker maximizing steady-state consumption per head, when consumption efficiency depends on the health status, tends to exceed the optimal capital level under purely longevity-enhancing spending. Finally, when the planner adheres to a complete life view, the capital per worker maximizing steady-state expected lifetime consumption per head exceeds the optimal capital per worker under the instantaneous view.

Suggested Citation

  • David de la Croix & Grégory Ponthière, 2010. "On the Golden Rule of capital accumulation under endogenous longevity," Post-Print halshs-00754468, HAL.
  • Handle: RePEc:hal:journl:halshs-00754468
    DOI: 10.1016/j.mathsocsci.2009.07.007
    Note: View the original document on HAL open archive server: https://hal-pjse.archives-ouvertes.fr/halshs-00754468
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    References listed on IDEAS

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    1. Matteo Cervellati & Uwe Sunde, 2005. "Human Capital Formation, Life Expectancy, and the Process of Development," American Economic Review, American Economic Association, vol. 95(5), pages 1653-1672, December.
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    Cited by:

    1. Laurent Brembilla, 2016. "Endogenous lifetime and economic growth: the roleof the tax rate," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 247-263, October.
    2. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española, IEF, vol. 200(1), pages 41-74, March.
    3. David Croix & Pierre Pestieau & Grégory Ponthière, 2012. "How powerful is demography? The Serendipity Theorem revisited," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 899-922, July.
    4. Paolo Melindi-Ghidi & Willem Sas, 2015. "Invest as You Go: How Public Health Investment Keeps Pension Systems Healthy," AMSE Working Papers 1525, Aix-Marseille School of Economics, France.
    5. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
    6. Dávila, Julio & Leroux, Marie-Louise, 2015. "Efficiency in overlapping generations economies with longevity choices and fair annuities," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 363-383.
    7. 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(1-2), pages 137-151, April.
    8. 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.
    9. 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.
    10. 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.
    11. Dai, Darong, 2011. "Wealth Martingale and Neighborhood Turnpike Property in Dynamically Complete Market with Heterogeneous Investors," MPRA Paper 46416, University Library of Munich, Germany.
    12. Богомолова А. С. & Колюжнов Д. В., 2017. "Построение dsge-модели с эндогенными показателями загрязнения, здоровья и экономического развития. Building a dsge model with the endogenous levels of pollution, health and economic development," Мир экономики и управления // Вестник НГУ. Cерия: Cоциально-экономические науки, Socionet;Новосибирский государственный университет, vol. 17(3), pages 5-18.
    13. Grégory Ponthière, 2012. "Fair Accumulation under Risky Lifetime," PSE Working Papers halshs-00746913, HAL.
    14. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española, IEF, vol. 200(1), pages 41-74, March.
    15. Dai, Darong, 2012. "A Robust Turnpike Deduced by Economic Maturity," MPRA Paper 48818, University Library of Munich, Germany.
    16. 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.
    17. Grégory Ponthière, 2012. "Fair Accumulation under Risky Lifetime," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-00746913, HAL.
    18. Gregory Ponthiere, 2013. "Fair Accumulation under Risky Lifetime," Scottish Journal of Political Economy, Scottish Economic Society, vol. 60(2), pages 210-230, May.
    19. Gregory Ponthiere, 2013. "Fair Accumulation under Risky Lifetime," Scottish Journal of Political Economy, Scottish Economic Society, vol. 60(2), pages 210-230, May.
    20. Julio Davila & Marie-Louise Leroux, 2009. "On the fiscal treatment of life expectancy related choices," Post-Print halshs-00423933, HAL.
    21. Darong Dai, 2015. "Robust Turnpikes Deduced by the Minimum-Time Needed toward Economic Maturity," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(1), pages 049-073, October.
    22. Stefan Felder, 2016. "“How powerful is demography? The serendipity theorem revisited” comment on De la Croix et al. (2012)," Journal of Population Economics, Springer;European Society for Population Economics, vol. 29(3), pages 957-967, July.
    23. Dai, Darong, 2012. "Comparative Studies on Cooperative Stochastic Differential Game and Dynamic Sequential Game of Economic Maturity," MPRA Paper 44339, University Library of Munich, Germany.
    24. Darong Dai, 2013. "Wealth Martingale and Neighborhood Turnpike Property In Dynamically Complete Market With Heterogeneous Investors," Economic Research Guardian, Weissberg Publishing, vol. 3(2), pages 86-110, December.

    More about this item

    Keywords

    Golden Rule; Health; Longevity; OLG models;

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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