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Choosing Longevity with Overlapping Generations: To Be or Not to Be in Diamond's Model

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  • Chen Weichun

    (University of Victoria)

  • Engineer Merwan H

    (University of Victoria)

  • King Ian P

    (University of Melbourne)

Abstract

We extend Diamond's (1965) OLG model to allow agents to choose whether to participate in the second period of life. The valuation of early exit (x) is a key parameter. We characterize competitive equilibria, efficient allocations, and predictions for income and life expectancy over time. We find that, with logarithmic utility, for any value of x, there is a range of initial values of the capital stock for which some agents would prefer to exit in equilibrium. The shape of the transition function and the number of steady state equilibria depend crucially on the value of capital's share of income.

Suggested Citation

  • Chen Weichun & Engineer Merwan H & King Ian P, 2008. "Choosing Longevity with Overlapping Generations: To Be or Not to Be in Diamond's Model," The B.E. Journal of Macroeconomics, De Gruyter, vol. 8(1), pages 1-39, February.
  • Handle: RePEc:bpj:bejmac:v:8:y:2008:i:1:n:6
    DOI: 10.2202/1935-1690.1636
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    1. Rodrigo R. Soares, 2007. "On the Determinants of Mortality Reductions in the Developing World," Population and Development Review, The Population Council, Inc., vol. 33(2), pages 247-287, June.
    2. Zsolt Becsi, 2001. "Longevity and the Life Cycle," Departmental Working Papers 2001-12, Department of Economics, Louisiana State University.
    3. Angus Deaton, 2003. "Health, Inequality, and Economic Development," Journal of Economic Literature, American Economic Association, vol. 41(1), pages 113-158, March.
    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 & Tomas J. Philipson & Rodrigo R. Soares, 2005. "The Quantity and Quality of Life and the Evolution of World Inequality," American Economic Review, American Economic Association, vol. 95(1), pages 277-291, March.
    6. V. Kerry Smith & Donald H. Taylor & Frank A. Sloan, 2001. "Longevity Expectations and Death: Can People Predict Their Own Demise?," American Economic Review, American Economic Association, vol. 91(4), pages 1126-1134, September.
    7. 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.
    8. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," Review of Economic Studies, Oxford University Press, vol. 32(2), pages 137-150.
    9. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    10. Kalemli-Ozcan, Sebnem, 2002. "Does the Mortality Decline Promote Economic Growth?," Journal of Economic Growth, Springer, vol. 7(4), pages 411-439, December.
    11. K Blackburn & H Issa, 2002. "Endogenous Life Expectancy in a Simple Model of Growth," Economics Discussion Paper Series 0217, Economics, The University of Manchester.
    12. 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.
    13. Zhang, Jie & Zhang, Junsen & Lee, Ronald, 2003. "Rising longevity, education, savings, and growth," Journal of Development Economics, Elsevier, vol. 70(1), pages 83-101, February.
    14. 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.
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