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A Synthesis of the Grossman and Becker-Murphy Models of Health and Addiction: Theoretical and Empirical Implications

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  • Andrew Jones
  • Audrey Laporte
  • Nigel Rice
  • Eugenio Zucchelli

Abstract

This paper develops and estimates a model that integrates two fundamental theories of individual health behaviour: the Becker-Murphy model of rational addiction and the Grossman model of health investment. We define an individual's lifetime smoking consumption pattern and investments in health capital as simultaneous choices within a single optimization problem allowing for the presence of an addiction stock and investments in preventive medical care. The resulting system of first-order difference equations is reduced to a single fourth-order difference equation defined both for smoking and health and which preserve the dynamic roots of the system. GMM systems estimation using the British Household Panel Survey reveals strong persistence in the evolution of both smoking consumption and health capital with direct effects of past health and smoking observed for up to three and four lagged periods for men and women respectively. Conditional on dynamics there is a limited role for the direct effects of socio-economic status. A convincing understanding of an individual's optimal lifetime health trajectory requires an appreciation of how both investments and accumulated disinvestments in health separately impact on the dynamics of health capital. The integrated approach presented here offers such a framework.

Suggested Citation

  • Andrew Jones & Audrey Laporte & Nigel Rice & Eugenio Zucchelli, 2014. "A Synthesis of the Grossman and Becker-Murphy Models of Health and Addiction: Theoretical and Empirical Implications," Working Papers 140007, Canadian Centre for Health Economics.
  • Handle: RePEc:cch:wpaper:140007
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    Cited by:

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    2. 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.
    3. Lenzen, Sabrina & Gannon, Brenda & Rose, Christiern, 2020. "A dynamic microeconomic analysis of the impact of physical activity on cognition among older people," Economics & Human Biology, Elsevier, vol. 39(C).
    4. Titus J Galama & Hans van Kippersluis, 2019. "A Theory of Socio-economic Disparities in Health over the Life Cycle," The Economic Journal, Royal Economic Society, vol. 129(617), pages 338-374.
    5. repec:zbw:iamost:269539 is not listed on IDEAS
    6. Laporte, Audrey & Dass, Adrian Rohit & Ferguson, Brian S., 2017. "Is the Rational Addiction model inherently impossible to estimate?," Journal of Health Economics, Elsevier, vol. 54(C), pages 161-175.
    7. Audrey Laporte, 2014. "Should the Grossman model of investment in health capital retain its iconic status?," Working Papers 140003, Canadian Centre for Health Economics, revised Jan 2015.
    8. Burggraf, Christine, 2017. "Russian demand for dietary quality: Nutrition transition, diet quality measurement, and health investment theory," Studies on the Agricultural and Food Sector in Transition Economies 269539, Institute of Agricultural Development in Transition Economies (IAMO).

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    More about this item

    Keywords

    Addiction; health capital; smoking; dynamic panel data models;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • I1 - Health, Education, and Welfare - - Health

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