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

Author

Listed:
  • Marie-Louise Leroux

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain)

  • Grégory Ponthière

    (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, 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)

Abstract

This paper studies the normative problem of redistribution between agents who can infuence 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 (1953) calls the dispersion of psychological values. It is shown that if agents ignore the impact of their health spending on the return of their savings, the decentralization of the first-best utilitarian optimum requires intergroup lump-sum transfers and group-specifc taxes on health spending. Under asymmetric information, we find that subsidizing health expenditures may be optimal as a way to solve the incentive problem.

Suggested Citation

  • Marie-Louise Leroux & Grégory Ponthière, 2008. "Optimal tax policy and expected longevity: A mean and variance utility approach," PSE Working Papers halshs-00586247, HAL.
    • Handle: RePEc:hal:psewpa:halshs-00586247
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00586247
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    References listed on IDEAS

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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; non-expected utility theory; moments of utility theory; health spending; longévité; risque; loteries de vie; théorie de l'utilité non-attendue; théorie des moments de l'utilité; dépenses de santé;
    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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