Skip to main content
Log in

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

  • Published:
International Tax and Public Finance Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Allais, M. (1953). Le comportement de l’homme rationnel devant le risque: critique des postulats et axiomes de l’Ecole Americaine. Econometrica, 21(4), 503–546.

    Article  Google Scholar 

  • Becker, G., & Philipson, T. (1998). Old-age longevity and mortality contingent claims. The Journal of Political Economy, 106(3), 551–573.

    Article  Google Scholar 

  • Becker, G., Philipson, T., & Soares, R. (2005). The quantity and the quality of life and the evolution of world inequality. The American Economic Review, 95(1), 277–291.

    Article  Google Scholar 

  • Bell, D. (1985). Disappointment in decision making under uncertainty. Operational Research, 33, 1–27.

    Google Scholar 

  • Bommier, A. (2006). Uncertain lifetime and intertemporal choice: risk aversion as a rationale for time discounting. International Economic Review, 47(4), 1223–1246.

    Article  Google Scholar 

  • Bommier, A., Leroux, M.-L., & Lozachmeur, J.-M. (2007). Uncertain lifetime, redistribution and nonlinear pricing of annuities (Working Paper).

  • Broome, J. (2004). Weighing lives. New York: Oxford University Press.

    Book  Google Scholar 

  • Hagen, O. (1979). Towards a positive theory of preferences under risk. In M. Allais & O. Hagen (Eds.), Expected utility hypotheses and the Allais paradox. Dordrecht: Reidel.

    Google Scholar 

  • Halek, M., & Eisenhauer, J. (2001). Demography of risk aversion. Journal of Risk and Insurance, 68(1), 1–24.

    Article  Google Scholar 

  • 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, 77(3), 307–312.

    Article  Google Scholar 

  • Leroux, M. L. (2008). Endogenous differential mortality, non monitored effort and optimal non linear taxation (CORE DP 29).

  • Loomes, G., & Sugden, R. (1987). Some implications of a more general form of regret theory. Journal of Economic Theory, 41(2), 270–287.

    Article  Google Scholar 

  • Machina, M. (1983). Generalized expected utility analysis and the nature of observed violations of the independence axiom. In B. Stigum & F. Wenstøp (Eds.), Foundations of utility and risk theory with applications. Dordrecht: Reidel.

    Google Scholar 

  • Machina, M. (2007). Non-expected utility theory. In S. Durlauf & L. Blume (Eds.), The new palgrave dictionary of economics (2nd ed.). New York: Macmillan.

    Google Scholar 

  • Mosteller, F., & Nogee, P. (1951). An experimental measurement of utility. Journal of Political Economy, 59(5), 371–404.

    Article  Google Scholar 

  • Múnera, H., & de Neufville, R. (1983). A decision analysis model when the substitution principle is not acceptable. In B. P. Stigum & F. Wenstop (Eds.), Foundations of utility and risk theory with applications. Dordrecht: Reidel.

    Google Scholar 

  • OECD (2007). Eco-Santé OCDE 2007, available online at http://www.oecd.org/dataoecd/45/20/38980771.pdf.

  • Poikolainen, K., & Escola, J. (1986). The effect of health services on mortality decline in death rates from amenable to non-amenable causes in Finland, 1969–1981. The Lancet, 1(8474), 199–202.

    Article  Google Scholar 

  • Schmidt, U. (2004). Alternatives to expected utility: some formal theories. In S. Barbera, P. J. Hammond, & C. Seidl (Eds.), Handbook of utility theory, Vol II. Boston: Kluwer, Chap. 15.

    Google Scholar 

  • Sheshinski, E. (2007). The economic theory of annuities. Princeton: Princeton University Press.

    Google Scholar 

  • Solomon, C., & Manson, J. E. (1997). Obesity and mortality: a review of the epidemiological data. American Journal of Clinical Nutrition, 66(4), 1044–1050.

    Google Scholar 

  • Starmer, C. (2000). Developments in Non-Expected utility theory: the hunt for a descriptive theory of choice under risk. Journal of Economic Literature, 38, 332–382.

    Google Scholar 

  • Stigum, B. P., & Wenstop, F. (Eds.). (1983). Foundations of utility and risk theory with applications. Dordrecht: Reidel.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marie-Louise Leroux.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leroux, ML., Ponthiere, G. Optimal tax policy and expected longevity: a mean and variance utility approach. Int Tax Public Finance 16, 514–537 (2009). https://doi.org/10.1007/s10797-009-9106-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10797-009-9106-3

Keywords

JEL Classification

Navigation