IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v47y2011i4p627-641.html
   My bibliography  Save this article

Externalities in a life cycle model with endogenous survival

Author

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

Abstract

We study socially vs individually optimal life cycle allocations of consumption and health, when individual health care 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 learning-by-doing (positive externality) or a deterioration in the quality of care through congestion (negative externality). We combine an age-structured optimal control model at population level with a conventional life cycle 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 age-patterns of socially and individually optimal health expenditures and the transfer rate are derived. Numerical analysis illustrates the working of our model.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:mateco:v:47:y:2011:i:4:p:627-641
    DOI: 10.1016/j.jmateco.2011.08.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406811000747
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kuhn, Michael & Wrzaczek, Stefan & Oeppen, Jim, 2010. "Recognizing progeny in the value of life," Economics Letters, Elsevier, vol. 107(1), pages 17-21, April.
    2. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Capital accumulation under technological progress and learning: A vintage capital approach," European Journal of Operational Research, Elsevier, vol. 172(1), pages 293-310, July.
    3. 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.
    4. Philipson, Tomas, 2000. "Economic epidemiology and infectious diseases," Handbook of Health Economics,in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 33, pages 1761-1799 Elsevier.
    5. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, Oxford University Press, vol. 122(1), pages 39-72.
    6. 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 251-263, November.
    7. Birchenall, Javier A. & Soares, Rodrigo R., 2009. "Altruism, fertility, and the value of children: Health policy evaluation and intergenerational welfare," Journal of Public Economics, Elsevier, vol. 93(1-2), pages 280-295, February.
    8. Laxminarayan, Ramanan & Brown, Gardner M., 2001. "Economics of Antibiotic Resistance: A Theory of Optimal Use," Journal of Environmental Economics and Management, Elsevier, vol. 42(2), pages 183-206, September.
    9. 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.
    10. Davies, James B. & Kuhn, Peter, 1992. "Social security, longevity, and moral hazard," Journal of Public Economics, Elsevier, vol. 49(1), pages 91-106, October.
    11. 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.
    12. David Cutler & Grant Miller, 2005. "The role of public health improvements in health advances: The twentieth-century United States," Demography, Springer;Population Association of America (PAA), vol. 42(1), pages 1-22, February.
    13. Rosen, Sherwin, 1988. "The Value of Changes in Life Expectancy," Journal of Risk and Uncertainty, Springer, vol. 1(3), pages 285-304, September.
    14. 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.
    15. Tomas Philipson & Stephane Mechoulan, 2003. "Intellectual Property & External Consumption Effects: Generalizations from Pharmaceutical Markets," NBER Working Papers 9598, National Bureau of Economic Research, Inc.
    16. 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.
    17. 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.
    18. 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.
    19. Forster, Martin, 2001. "The meaning of death: some simulations of a model of healthy and unhealthy consumption," Journal of Health Economics, Elsevier, vol. 20(4), pages 613-638, July.
    20. Kevin M. Murphy & Robert H. Topel, 2006. "The Value of Health and Longevity," Journal of Political Economy, University of Chicago Press, vol. 114(5), pages 871-904, October.
    21. 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.
    22. Kevin M. Murphy & Robert H. Topel, 2007. "Social Value and the Speed of Innovation," American Economic Review, American Economic Association, vol. 97(2), pages 433-437, May.
    23. 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.
    24. Ehrlich, Isaac, 2000. "Uncertain lifetime, life protection, and the value of life saving," Journal of Health Economics, Elsevier, vol. 19(3), pages 341-367, May.
    25. Jan Clement & Vivian Valdmanis & Gloria Bazzoli & Mei Zhao & Askar Chukmaitov, 2008. "Is more better? An analysis of hospital outcomes and efficiency with a DEA model of output congestion," Health Care Management Science, Springer, vol. 11(1), pages 67-77, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:47:y:2011:i:4:p:627-641. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.