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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 always implies eternal life. This outcome occurs independently from the initial stock of health, the impact of health on productivity, and the importance of health for utility and it is robust against the introduction of a finite age-dependent rate of health depreciation.

Suggested Citation

  • Strulik, Holger, 2014. "A closed-form solution for the health capital model," University of Göttingen Working Papers in Economics 222, University of Goettingen, Department of Economics.
    • Handle: RePEc:zbw:cegedp:222
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    17. 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.
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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. 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.
    3. D. Dragone & H. Strulik, 2017. "Human Health and Aging over an Infinite Time Horizon," Working Papers wp1104, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Kristian Bolin & Michael R. Caputo, 2024. "Specification of the health production function and its behavioral implications," Health Economics, John Wiley & Sons, Ltd., vol. 33(11), pages 2671-2684, November.
    13. Caputo, Michael R., 2021. "New insights in the canonical model of health capital," Mathematical Social Sciences, Elsevier, vol. 110(C), pages 23-33.
    14. Chen, Wei, 2024. "The extended Grossman human capital model with endogenous demand for knowledge," International Review of Economics & Finance, Elsevier, vol. 95(C).
    15. 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.
    16. 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.
    17. Bolin, Kristian & Caputo, Michael R., 2020. "Consumption and investment demand when health evolves stochastically," Journal of Economic Dynamics and Control, Elsevier, vol. 114(C).
    18. Michael Grossman, 2022. "The demand for health turns 50: Reflections," Health Economics, John Wiley & Sons, Ltd., vol. 31(9), pages 1807-1822, September.
    19. Volker Grossmann, 2021. "Medical Innovations and Ageing: A Health Economics Perspective," CESifo Working Paper Series 9387, CESifo.
    20. Edouard Ribes, 2022. "Financial planning & optimal retirement timing for physically intensive occupations," Working Papers hal-03219182, HAL.
    21. 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.
    22. Titus Galama, 2011. "A Contribution to Health Capital Theory," Working Papers WR-831, RAND Corporation.
    23. Strulik, Holger & Grossmann, Volker, 2024. "The economics of aging with infectious and chronic diseases," Economics & Human Biology, Elsevier, vol. 52(C).

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    More about this item

    Keywords

    longevity; health; health care demand;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • J17 - Labor and Demographic Economics - - Demographic Economics - - - Value of Life; Foregone Income
    • J26 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Retirement; Retirement Policies
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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