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Over-aging — Are present-day human populations too old?

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  • Stelter, Robert

Abstract

This paper investigates the problem of an “optimum population” concerning age structures in a 3-period OLG-model with endogenous fertility and longevity. The first-best solution for a number-dampened total social welfare function, including Millian and Benthamite utilitarianism as two extreme cases, identifies the optimal age structure, which generally fails in laissez-faire economies. As individuals do not internalize the effect of longevity on life-cycle income, they over-invest in health. Additionally, they choose a non-optimal number of offspring. A calibration exercise for 80 countries emphasizes that the over-aging of populations crucially depends on social preferences and on observed age structures. Interestingly, it appears that, unlike taxes on health expenditures, taxes or subsidies on children to decentralize the first-best solution are sensitive to social preferences. Still, with the introduction of sufficiently large positive externalities of health expenditures or of individuals who do not fully internalize the effect of health efforts on longevity, taxes might become subsidies on health efforts to avoid an under-investment in longevity.

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  • Stelter, Robert, 2016. "Over-aging — Are present-day human populations too old?," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 116-143.
    • Handle: RePEc:eee:matsoc:v:82:y:2016:i:c:p:116-143
    DOI: 10.1016/j.mathsocsci.2016.05.004
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    as
    1. W. Brian Arthur & Geoffrey McNicoll, 1977. "Optimal Time Paths with Age-Dependence: A Theory of Population Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(1), pages 111-123.
    2. Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587, September.
    3. Raouf Boucekkine & Giorgio Fabbri, 2013. "Assessing Parfit’s Repugnant Conclusion within a canonical endogenous growth set-up," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(2), pages 751-767, April.
    4. Tomas J. Philipson & Gary S. Becker, 1998. "Old-Age Longevity and Mortality-Contingent Claims," Journal of Political Economy, University of Chicago Press, vol. 106(3), pages 551-573, June.
    5. Matthias Doepke, 2004. "Accounting for Fertility Decline During the Transition to Growth," Journal of Economic Growth, Springer, vol. 9(3), pages 347-383, September.
    6. Klaus Jaeger & Wolfgang Kuhle, 2009. "The optimum growth rate for population reconsidered," Journal of Population Economics, Springer;European Society for Population Economics, vol. 22(1), pages 23-41, January.
    7. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    8. Rodrigo R. Soares, 2005. "Mortality Reductions, Educational Attainment, and Fertility Choice," American Economic Review, American Economic Association, vol. 95(3), pages 580-601, June.
    9. Wang, Mei & Rieger, Marc Oliver & Hens, Thorsten, 2016. "How time preferences differ: Evidence from 53 countries," Journal of Economic Psychology, Elsevier, vol. 52(C), pages 115-135.
    10. Carl-Johan Dalgaard & Holger Strulik, 2014. "Optimal Aging And Death: Understanding The Preston Curve," Journal of the European Economic Association, European Economic Association, vol. 12(3), pages 672-701, June.
    11. Cigno, Alessandro, 1993. "Intergenerational transfers without altruism : Family, market and state," European Journal of Political Economy, Elsevier, vol. 9(4), pages 505-518, November.
    12. David Weil, 2006. "Population Aging," Working Papers 2006-09, Brown University, Department of Economics.
    13. Marie-Louise Leroux & Pierre Pestieau & Gregory Ponthiere, 2011. "Optimal linear taxation under endogenous longevity," Journal of Population Economics, Springer;European Society for Population Economics, vol. 24(1), pages 213-237, January.
    14. 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.
    15. Antoine Bommier, 2006. "Uncertain Lifetime And Intertemporal Choice: Risk Aversion As A Rationale For Time Discounting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1223-1246, November.
    16. Nourry, Carine, 2001. "Stability of equilibria in the overlapping generations model with endogenous labor supply," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1647-1663, October.
    17. Neher, Philip A, 1971. "Peasants, Procreation, and Pensions," American Economic Review, American Economic Association, vol. 61(3), pages 380-389, June.
    18. Bloom, David E. & Canning, David & Sevilla, Jaypee, 2004. "The Effect of Health on Economic Growth: A Production Function Approach," World Development, Elsevier, vol. 32(1), pages 1-13, January.
    19. Thomas Baudin, 2011. "Family Policies: What Does the Standard Endogenous Fertility Model Tell Us?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(4), pages 555-593, August.
    20. Samuelson, Paul A, 1975. "The Optimum Growth Rate for Population," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 531-538, October.
    21. Deardorff, Alan V, 1976. "The Optimum Growth Rate for Population: Comment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 510-515, June.
    22. Dasgupta, Partha, 1998. "Population, consumption and resources: Ethical issues," Ecological Economics, Elsevier, vol. 24(2-3), pages 139-152, February.
    23. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
    24. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 135-160, February.
    25. David de la Croix & Matthias Doepke, 2003. "Inequality and Growth: Why Differential Fertility Matters," American Economic Review, American Economic Association, vol. 93(4), pages 1091-1113, September.
    26. Roland Bénabou, 1996. "Inequality and Growth," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 11-92, National Bureau of Economic Research, Inc.
    27. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, September.
    28. Davies, James B. & Kuhn, Peter, 1992. "Social security, longevity, and moral hazard," Journal of Public Economics, Elsevier, vol. 49(1), pages 91-106, October.
    29. Ehrlich, Isaac & Chuma, Hiroyuki, 1990. "A Model of the Demand for Longevity and the Value of Life Extension," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 761-782, August.
    30. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 1-25.
    31. Ng, Yew-Kwang, 1986. "Social criteria for evaluating population change: An alternative to the Blackorby-Donaldson criterion," Journal of Public Economics, Elsevier, vol. 29(3), pages 375-381, April.
    32. P. S. Dasgupta, 1969. "On the Concept of Optimum Population," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 295-318.
    33. Thomas Baudin, 2012. "The Optimal Trade-Off Between Quality and Quantity with Unknown Number of Survivors," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(2), pages 94-113, April.
    34. World Bank, 2014. "World Development Indicators 2014," World Bank Publications - Books, The World Bank Group, number 18237.
    35. Arthur, W Brian & McNicoll, Geoffrey, 1978. "Samuelson, Population and Intergenerational Transfers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(1), pages 241-246, February.
    36. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2014. "Egalitarianism under population change: Age structure does matter," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 86-100.
    37. Marc Nerlove & Assaf Razin & Efraim Sadka, 1985. "Population Size: Individual Choice and Social Optima," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(2), pages 321-334.
    38. Heijdra, Ben J. & Mierau, Jochen O. & Reijnders, S. M., 2014. "A Tragedy Of Annuitization? Longevity Insurance In General Equilibrium," Macroeconomic Dynamics, Cambridge University Press, vol. 18(7), pages 1607-1634, October.
    39. 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.
    40. 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.
    41. 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.
    42. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2011. "Externalities in a life cycle model with endogenous survival," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 627-641.
    43. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    44. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    45. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    46. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    47. Heal, Geoffrey, 2005. "Intertemporal Welfare Economics and the Environment," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 21, pages 1105-1145, Elsevier.
    48. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1986. "Some Welfare Theoretic Implications of Endogenous Fertility," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 3-31, February.
    49. Razin, Assaf & Ben-Zion, Uri, 1975. "An Intergenerational Model of Population Growth," American Economic Review, American Economic Association, vol. 65(5), pages 923-933, December.
    50. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    51. Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November.
    52. Schoonbroodt, Alice & Tertilt, Michèle, 2014. "Property rights and efficiency in OLG models with endogenous fertility," Journal of Economic Theory, Elsevier, vol. 150(C), pages 551-582.
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