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

Pre-print, Working paper: 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.

Author(s)

Marie-Louise Leroux, Grégory Ponthière

Date of publication
  • 2008
Keywords JEL
D81 H21 I12 I18 J18
Keywords
  • Longevity
  • Risk
  • Lotteries of life
  • Non-expected utility theory
  • Moments of utility theory
  • Health spending
Internal reference
  • PSE Working Papers n°2008-46
Version
  • 1