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Externalities in a Life-Cycle Model with Endogenous Survival

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

Abstract

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.

Suggested Citation

  • Michael Kuhn & Stefan Wrzaczek & Alexia Prskawetz & Gustav Feichtinger, 2010. "Externalities in a Life-Cycle Model with Endogenous Survival," VID Working Papers 1001, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
  • Handle: RePEc:vid:wpaper:1001
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    References listed on IDEAS

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    Cited by:

    1. Klaus Prettner & Alexia Prskawetz, 2010. "Demographic change in models of endogenous economic growth. A survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 593-608, December.
    2. Wrzaczek, Stefan & Kuhn, Michael & Prskawetz, Alexia & Feichtinger, Gustav, 2010. "The reproductive value in distributed optimal control models," Theoretical Population Biology, Elsevier, vol. 77(3), pages 164-170.
    3. Grafeneder-Weissteiner, Theresa & Prettner, Klaus, 2010. "Agglomeration processes in aging societies," Department of Economics Working Paper Series 1620, WU Vienna University of Economics and Business.
    4. Stelter, Robert, 2014. "Over-aging: Are present human populations too old?," Thuenen-Series of Applied Economic Theory 137, University of Rostock, Institute of Economics.
    5. Ivan Frankovic & Michael Kuhn & Stefan Wrzaczek, 2016. "Medical Care within an OLG Economy with Realistic Demography," VID Working Papers 1603, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    6. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2015. "Optimal choice of health and retirement in a life-cycle model," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 186-212.
    7. Bilal Barakat & Johannes Holler & Klaus Prettner & Julia Schuster, 2010. "The Impact of the Economic Crisis on Labour and Education in Europe," VID Working Papers 1006, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    8. Thomas Fent & Belinda Aparicio Diaz & Alexia Fürnkranz-Prskawetz, 2013. "Family policies in the context of low fertility and social structure," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 29(37), pages 963-998, November.
    9. Strulik, Holger & Prettner, Klaus & Prskawetz, Alexia, 2010. "R\&D-based Growth in the Post-modern Era," Hannover Economic Papers (HEP) dp-457, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    10. Stelter, Robert, 2016. "Over-aging — Are present-day human populations too old?," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 116-143.

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    Keywords

    Demand for health; externality; life-cycle-model; optimal control; tax-subsidy; value of life.;

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