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Externalities in a Life-Cycle Model with Endogenous Survival

  • Michael Kuhn
  • Stefan Wrzaczek
  • Alexia Prskawetz
  • Gustav Feichtinger

We study socially vs. individually optimal lifecycle allocations of consumption and health care, when individual health expenditure curbs own mortality but also has a spillover effect on other persons' survival. Such spillovers arise, for instance, when health care activity at aggregate level triggers improvements in treatment through learningbydoing (positive externality) or a deterioration in the quality of care through congestion (negative externality). We combine an agestructured optimal control model at population level with a conventional lifecycle model to derive the social and private value of life. We then examine how individual incentives deviate from social incentives and how they can be aligned by way of a transfer scheme. The agepatterns of socially and individually optimal health expenditure and the transfer rate are derived. Numerical analysis illustrates the workings of our model.

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Paper provided by Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna in its series Working Papers with number 1001.

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Length: 35 pages
Date of creation: Jan 2010
Date of revision:
Handle: RePEc:vid:wpaper:1001
Contact details of provider: Web page: http://www.oeaw.ac.at/vid/

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  8. Kort, P. & Hartl, R.F. & Veliov, V.M. & Feichtinger, G., 2005. "Capital accumulation under technological progress and learning : a vintage capital approach," Other publications TiSEM 52a6c1fe-8d4a-47bf-ada4-a, Tilburg University, School of Economics and Management.
  9. Bolin, Kristian & Jacobson, Lena & Lindgren, Bjorn, 2002. "Employer investments in employee health: Implications for the family as health producer," Journal of Health Economics, Elsevier, vol. 21(4), pages 563-583, July.
  10. Basu, Anirban & Meltzer, David, 2005. "Implications of spillover effects within the family for medical cost-effectiveness analysis," Journal of Health Economics, Elsevier, vol. 24(4), pages 751-773, July.
  11. Johansson, Per-Olov, 2002. " On the Definition and Age-Dependency of the Value of a Statistical Life," Journal of Risk and Uncertainty, Springer, vol. 25(3), pages 251-63, November.
  12. 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.
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  17. Tomas Philipson & Gary S. Becker & Dana Goldman & Kevin Murphy, 2010. "Terminal Care and the Value of Life Near Its End," Working Papers 2010-005, Becker Friedman Institute for Research In Economics.
  18. Cagri Saglam & Vladimir M. Veliov, 2008. "Role of Endogenous Vintage Specific Depreciation in the Optimal Behavior of Firms," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(3), pages 381-410.
  19. Prskawetz, Alexia & Veliov, Vladimir M., 2007. "Age-specific dynamic labor demand and human capital investment," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3741-3777, December.
  20. 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 223-55, March-Apr.
  21. Kuhn, Michael & Wrzaczek, Stefan & Oeppen, Jim, 2010. "Recognizing progeny in the value of life," Economics Letters, Elsevier, vol. 107(1), pages 17-21, April.
  22. Tomas Philipson & Stephane Mechoulan, 2003. "Intellectual Property & External Consumption Effects: Generalizations from Pharmaceutical Markets," NBER Working Papers 9598, National Bureau of Economic Research, Inc.
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  25. Watson, Tara, 2006. "Public health investments and the infant mortality gap: Evidence from federal sanitation interventions on U.S. Indian reservations," Journal of Public Economics, Elsevier, vol. 90(8-9), pages 1537-1560, September.
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