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A Closed-Form Solution For The Health Capital Model

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  • Strulik, Holger

Abstract

This paper provides a closed-form solution for the health capital model of health demand. The results are exploited in order to prove analytically the comparative dynamics of the model. Results are derived for the so-called pure investment model, the pure consumption model and a combination of both types of models. Given the plausible assumptions that (i) health declines with age and that (ii) the health capital stock at death is lower than the health capital stock needed for eternal life, it is shown that the optimal solution implies eternal life.

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  • Strulik, Holger, 2015. "A Closed-Form Solution For The Health Capital Model," Journal of Demographic Economics, Cambridge University Press, vol. 81(3), pages 301-316, September.
    • Handle: RePEc:cup:demeco:v:81:y:2015:i:3:p:301-316_3
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    1. Cropper, M L, 1977. "Health, Investment in Health, and Occupational Choice," Journal of Political Economy, University of Chicago Press, vol. 85(6), pages 1273-1294, December.
    2. Anne Case & Angus S. Deaton, 2005. "Broken Down by Work and Sex: How Our Health Declines," NBER Chapters, in: Analyses in the Economics of Aging, pages 185-212, National Bureau of Economic Research, Inc.
    3. Galama, Titus & Kapteyn, Arie, 2011. "Grossman’s missing health threshold," Journal of Health Economics, Elsevier, vol. 30(5), pages 1044-1056.
    4. 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.
    5. Havranek, Tomas & Horvath, Roman & Irsova, Zuzana & Rusnak, Marek, 2015. "Cross-country heterogeneity in intertemporal substitution," Journal of International Economics, Elsevier, vol. 96(1), pages 100-118.
    6. Jacobson, Lena, 2000. "The family as producer of health -- an extended grossman model," Journal of Health Economics, Elsevier, vol. 19(5), pages 611-637, September.
    7. Strulik, Holger, 2011. "Health and Education: Understanding the Gradient," Hannover Economic Papers (HEP) dp-487, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    8. Wagstaff, Adam, 1986. "The demand for health : Some new empirical evidence," Journal of Health Economics, Elsevier, vol. 5(3), pages 195-233, September.
    9. 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.
    10. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 39-72.
    11. 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.
    12. Grossman, Michael, 2000. "The human capital model," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 7, pages 347-408, Elsevier.
    13. Carl-Johan Dalgaard & Holger Strulik, 2017. "The Genesis of the Golden Age: Accounting for the Rise in Health and Leisure," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 132-151, March.
    14. Ried, Walter, 1998. "Comparative dynamic analysis of the full Grossman model," Journal of Health Economics, Elsevier, vol. 17(4), pages 383-425, August.
    15. Muurinen, Jaana-Marja, 1982. "Demand for health: A generalised Grossman model," Journal of Health Economics, Elsevier, vol. 1(1), pages 5-28, May.
    16. van Kippersluis, Hans & Galama, Titus J., 2014. "Wealth and health behavior: Testing the concept of a health cost," European Economic Review, Elsevier, vol. 72(C), pages 197-220.
    17. Meier, Volker, 2000. "On the demand for preventive care," Munich Reprints in Economics 19191, University of Munich, Department of Economics.
    18. 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.
    19. Audrey Laporte & Brian Ferguson, 2007. "Investment in health when health is stochastic," Journal of Population Economics, Springer;European Society for Population Economics, vol. 20(2), pages 423-444, April.
    20. 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.
    21. Eisenring, Christoph, 1999. "Comparative dynamics in a health investment model," Journal of Health Economics, Elsevier, vol. 18(5), pages 653-658, October.
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    Cited by:

    1. Holger Strulik & Volker Grossmann, 2022. "Life Cycle Economics with Infectious and Chronic Diseases," CESifo Working Paper Series 10141, CESifo.
    2. Edouard Ribes, 2022. "Financial planning & optimal retirement timing for physically intensive occupations," Working Papers hal-03219182, HAL.
    3. Schünemann, Johannes & Strulik, Holger & Trimborn, Timo, 2017. "The gender gap in mortality: How much is explained by behavior?," Journal of Health Economics, Elsevier, vol. 54(C), pages 79-90.
    4. Trimborn, Timo & Schünemann, Johannes & Strulik, Holger, 2016. "Disentangling the Gender Gap in Longevity," VfS Annual Conference 2016 (Augsburg): Demographic Change 145570, Verein für Socialpolitik / German Economic Association.
    5. Strulik, Holger, 2018. "Smoking kills: An economic theory of addiction, health deficit accumulation, and longevity," Journal of Health Economics, Elsevier, vol. 62(C), pages 1-12.
    6. Schünemann, Johannes & Strulik, Holger & Trimborn, Timo, 2017. "Going from bad to worse: Adaptation to poor health health spending, longevity, and the value of life," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 130-146.
    7. Dragone, Davide & Strulik, Holger, 2020. "Negligible senescence: An economic life cycle model for the future," Journal of Economic Behavior & Organization, Elsevier, vol. 171(C), pages 264-285.
    8. Carl‐Johan Dalgaard & Casper Worm Hansen & Holger Strulik, 2021. "Fetal origins—A life cycle model of health and aging from conception to death," Health Economics, John Wiley & Sons, Ltd., vol. 30(6), pages 1276-1290, June.
    9. Bolin, Kristian & Caputo, Michael R, 2022. "Specification of the Health Production Function and its Behavioral Implications," Working Papers in Economics 821, University of Gothenburg, Department of Economics.
    10. D. Dragone & H. Strulik, 2017. "Human Health and Aging over an Infinite Time Horizon," Working Papers wp1104, Dipartimento Scienze Economiche, Universita' di Bologna.
    11. Carl-Johan Dalgaard & Holger Strulik, 2017. "The Genesis of the Golden Age: Accounting for the Rise in Health and Leisure," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 132-151, March.
    12. Edouard A. Ribes, 2022. "Financial planning and optimal retirement timing for physically intensive occupations," SN Business & Economics, Springer, vol. 2(8), pages 1-28, August.
    13. Bolin, Kristian & Caputo, Michael R., 2020. "Consumption and investment demand when health evolves stochastically," Journal of Economic Dynamics and Control, Elsevier, vol. 114(C).
    14. Jochen Hartwig & Jan-Egbert Sturm, 2018. "Testing the Grossman model of medical spending determinants with macroeconomic panel data," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 19(8), pages 1067-1086, November.
    15. Strulik, Holger, 2015. "Frailty, mortality, and the demand for medical care," The Journal of the Economics of Ageing, Elsevier, vol. 6(C), pages 5-12.
    16. Michael Grossman, 2022. "The demand for health turns 50: Reflections," Health Economics, John Wiley & Sons, Ltd., vol. 31(9), pages 1807-1822, September.
    17. Volker Grossmann, 2021. "Medical Innovations and Ageing: A Health Economics Perspective," CESifo Working Paper Series 9387, CESifo.
    18. Strulik, Holger, 2019. "An economic theory of depression and its impact on health behavior and longevity," Journal of Economic Behavior & Organization, Elsevier, vol. 158(C), pages 269-287.
    19. Caputo, Michael R., 2021. "New insights in the canonical model of health capital," Mathematical Social Sciences, Elsevier, vol. 110(C), pages 23-33.
    20. Titus Galama, 2011. "A Contribution to Health Capital Theory," Working Papers WR-831, RAND Corporation.
    21. Strulik, Holger, 2018. "The return to education in terms of wealth and health," The Journal of the Economics of Ageing, Elsevier, vol. 12(C), pages 1-14.

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    JEL classification:

    • D10 - Microeconomics - - Household Behavior - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • I20 - Health, Education, and Welfare - - Education - - - General

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