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Optimal tax policy and expected longevity: a mean and variance utility approach

Author

Listed:
  • Marie-Louise Leroux

    (FNRS - Fonds de la Recherche Scientifique - Fonds de la Recherche Scientifique [FNRS], CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain)

  • Grégory Ponthière

    (PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper studies the normative problem of redistribution between agents who can influence their survival probability through private health spending, but who differ in their attitude towards the risks involved in the lotteries of life to be chosen. For that purpose, a two-period model is developed, where agents' preferences on lotteries of life can be represented by a mean and variance utility function allowing, unlike the expected utility form, some sensitivity to what Allais (Econometrica 21(4), 503-546, 1953) calls the 'dispersion of psychological values'. It is shown that if agents ignore the impact of health spending on the return of their savings, the decentralization of the first-best utilitarian optimum requires intergroup lump sum transfers and group-specific positive taxes on health spending. Under asymmetric information, a differentiated taxation across agents is still required, but subsidizing health spending may be optimal as a way to solve the incentive problem.

Suggested Citation

  • Marie-Louise Leroux & Grégory Ponthière, 2009. "Optimal tax policy and expected longevity: a mean and variance utility approach," PSE-Ecole d'économie de Paris (Postprint) halshs-00754344, HAL.
    • Handle: RePEc:hal:pseptp:halshs-00754344
    DOI: 10.1007/s10797-009-9106-3
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    References listed on IDEAS

    as
    1. 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.
    2. Eytan Sheshinski, 2007. "Introduction to The Economic Theory of Annuities," Introductory Chapters, in: The Economic Theory of Annuities, Princeton University Press.
    3. Gary S. Becker & Tomas J. Philipson & Rodrigo R. Soares, 2005. "The Quantity and Quality of Life and the Evolution of World Inequality," American Economic Review, American Economic Association, vol. 95(1), pages 277-291, March.
    4. Antoine Bommier, 2006. "Uncertain Lifetime And Intertemporal Choice: Risk Aversion As A Rationale For Time Discounting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1223-1246, November.
    5. Broome, John, 2006. "Weighing Lives," OUP Catalogue, Oxford University Press, number 9780199297702.
    6. LEROUX, Marie-Louise, 2008. "Endogenous differential mortality, non monitored effort and optimal non linear taxation," LIDAM Discussion Papers CORE 2008029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Eytan Sheshinski, 2007. "The Economic Theory of Annuities," Economics Books, Princeton University Press, edition 1, volume 1, number 8536.
    8. David E. Bell, 1985. "Disappointment in Decision Making Under Uncertainty," Operations Research, INFORMS, vol. 33(1), pages 1-27, February.
    9. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    10. Loomes, Graham & Sugden, Robert, 1987. "Some implications of a more general form of regret theory," Journal of Economic Theory, Elsevier, vol. 41(2), pages 270-287, April.
    11. Kaplan, G.A. & Seeman, T.E. & Cohen, R.D. & Knudsen, L.P. & Guralnik, J., 1987. "Mortality among the elderly in the Alameda County study: Behavioral and demographic risk factors," American Journal of Public Health, American Public Health Association, vol. 77(3), pages 307-312.
    12. Frederick Mosteller & Philip Nogee, 1951. "An Experimental Measurement of Utility," Journal of Political Economy, University of Chicago Press, vol. 59(5), pages 371-371.
    13. Diamond, Peter A, 1998. "Optimal Income Taxation: An Example with a U-Shaped Pattern of Optimal Marginal Tax Rates," American Economic Review, American Economic Association, vol. 88(1), pages 83-95, March.
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    Cited by:

    1. Marie-Louise Leroux & Pierre Pestieau & Grégory Ponthière, 2008. "Should we subsidize longevity?," Working Papers halshs-00586236, HAL.
    2. Leroux, Marie-Louise & Ponthiere, Gregory, 2013. "Utilitarianism and unequal longevities: A remedy?," Economic Modelling, Elsevier, vol. 30(C), pages 888-899.
    3. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española / Review of Public Economics, IEF, vol. 200(1), pages 41-74, March.
    4. Pierre Pestieau & Gregory Ponthiere, 2014. "Policy Implications of Changing Longevity," CESifo Economic Studies, CESifo Group, vol. 60(1), pages 178-212.
    5. LEROUX, Marie - Louise & PONTHIERE, Grégory, 2009. "Wives, husbands and wheelchairs : Optimal tax policy under gender-specific health," LIDAM Discussion Papers CORE 2009071, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Pestieau, Pierre & Ponthiere, Gregory, 2016. "Longevity Variations And The Welfare State," Journal of Demographic Economics, Cambridge University Press, vol. 82(2), pages 207-239, June.
    7. Marie-Louise Leroux & Grégory Ponthière, 2013. "Optimal prevention when coexistence matters," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1095-1127, July.
    8. Leroux, Marie-Louise & Pestieau, Pierre & Ponthière, Grégory, 2015. "Longévité différentielle et redistribution : enjeux théoriques et empiriques," L'Actualité Economique, Société Canadienne de Science Economique, vol. 91(4), pages 465-497, Décembre.

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    More about this item

    Keywords

    Longevity; Risk; Lotteries of life; Health spending;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • J18 - Labor and Demographic Economics - - Demographic Economics - - - Public Policy

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