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

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, we develop a two-period model where agents's preferences on lotteries of life can be represented by a mean and variance utility function allowing, unlike the expected utility form, some – agent-specific – sensitivity to what Allais (1953) calls the 'dispersion of psychological values'. It is shown that if agents ignore the impact of their health expenditures on the return of their savings, the decentralization of the first-best optimum requires not only intergroup lump-sum transfers, but, also, group-specific taxes on health spending. Under asymmetric information, we find that a subsidy on savings is optimal, whereas group-specific taxes on health spending are of ambiguous signs.longevity, risk, lotteries of life, expected utility theory, health spending.

Wives, husbands and wheelchairs: Optimal tax policy under gender-specific health

We study the optimal taxation problem in an economy composed of two-person households (men and women), where agents influence their own old-age dependency prospects through health spending. It is shown that the utilitarian social optimum can be decentralized by means of lump sum transfers from men to women, because women exhibit a higher disability-free life expectancy than men for a given level of health spending. Once self-oriented concerns for coexistence are introduced, the decentralization of the first-best requires also gender-specific subsidies on health spending aimed at internalizing the effect of each agent's health on the spouse's welfare. In the presence of singles in the population, the optimal policy requires also a differentiated subsidization of health spending for singles and couples. Finally, under imperfect observability of couples, the incentive compatibility constraints reinforce the need for subsidization of health spendings.Long term care ; optimal taxation ; preventive health spending ; gender differentials ; old age dependency

Utilitarianism and unequal longevities : A remedy?

This paper re-examines a counterintuitive corollary of utilitarianism under unequal longevities: the tendency to redistribute resources from short-lived towards long-lived agents, against any intuition of compensation. It is shown that this corollary prevails not only under time-additive lifetime welfare, but, also, in general, under non-additive lifetime welfare, so that this counterintuitive redistributive corollary is a robust argument against utilitarianism. This paper studies a remedy to that counterintuitive corollary. This consists in imputing, when solving the social planner's problem, the consumption equivalent of a long life to the consumption of long- lived agents. We identify the conditions under which such a modified utilitarian optimum involves a compensation of short-lived agents with respect to the laissez-faire. That remedy is also applied to an economy with risky longevity, where short-lived agents are penalized not only by the limited opportunities to spread resources over time (due to a shorter life), but, also, by lost savings (due to unanticipated death).utilitarianism, differential longevity, compensation, redistribution, consumption equivalent

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

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.longevity ; risk ; lotteries of life ; non-expected utility theory ; moments of utility theory ; health spending

Wives, husbands and wheelchairs : Optimal tax policy under gender-specific health

We study the optimal taxation problem in an economy composed of two-person households (men and women), where agents influence their own old-age dependency prospects through health spending. It is shown that the utilitarian social optimum can be decentralized by means of lump sum transfers from men to women, because women exhibit a higher disability-free life expectancy than men for a given level of health spending. Once self-oriented concerns for coexistence are introduced, the decentralization of the first-best requires also gender-specific subsidies on health spending aimed at internalizing the effect of each agent's health on the spouse's welfare. In the presence of singles in the population, the optimal policy requires also a differentiated subsidization of health spending for singles and couples. Finally, under imperfect observability of couples, the incentive compatibility constraints reinforce the need for subsidization of health spendingslong term care, optimal taxation, preventive health spending, gender differentials, old age dependency

Utilitarianism and unequal longevities: A remedy?

Classical utilitarianism, if coupled with standard assumptions such as the expected utility hypothesis and additive lifetime welfare, has the undesirable corollary to recommend a redistribution of resources from short-lived to long-lived agents, against any intuition of compensation. This paper proposes a remedy to that undesirable property of utilitarianism. This remedy consists in imputing, when solving the social planner's problem, the consumption equivalent of a long life to the consumption of long-lived agents. Provided the consumption equivalent is positive, the modified first-best problem exhibits a compensation of short-lived agents, under the form of a higher consumption. Then, in a general framework where agents differ in survival prospects, we compare the ex ante remedy (compensating agents with a lower life expectancy) and the ex post remedy (compensating short-lived agents), and show their incompatibility.utilitarianism ; differential longevity ; compensation ; redistribution ; consumption equivalent

Optimal linear taxation under endogenous longevity

This paper studies the optimal linear tax-transfer policy in an economy where agents differ in productivity and in genetic background, and where longevity depends on health spending and genes. It is shown that, if agents internalize imperfectly the impact of genes and health spending on longevity, the utilitarian social optimum can be decentralized with type-specific redistributive lump sum transfers and Pigouvian taxes correcting for agents's myopia (leading to undersaving and underinvestment in health), and for their incapacity to perceive the effect of health spending on the resource constraint of the economy (causing overinvestment in health). The second-best problem is also examined under linear taxation instruments. Our main result is that it may be optimal to tax health spending, in particular under a complementarity of genes and health spending in the production of longevity.longevity, myopia, genetic background, social security, paternalism

Should we Subsidize Longevity?

This paper studies the design of the optimal non linear taxation in an economy where longevity varies across agents, and depends on three factors: longevity genes, health investment and farsightedness. Provided earnings, farsightedness and genes are correlated, governmental intervention can be justified on two grounds: correction for a lack of farsightedness and redistribution across both earnings and genetic dimensions. Whether longevity-enhancing spending should be subsidized or taxed is shown to depend on the combined effects of myopia, self-selection and free-riding on the annuity returns. Our policy conclusions depend also on how productivity and genes are correlated, on the complementarity of genes and efforts in the survival function, and on how the government weights the welfare of heterogeneous agents. All in all, it might be desirable to tax longevity-enhancing spending.optimal taxation, longevity, genetic background, heterogeneity, myopia

Optimal linear taxation under endogenous longevity

This paper studies the optimal linear tax-transfer policy in an economy where agents differ in productivity and in genetic background, and where longevity depends on health spending and genes. It is shown that, if agents internalize imperfectly the impact of genes and health spending on longevity, the utilitarian social optimum can be decentralized with type-specific redistributive lump sum transfers and Pigouvian taxes correcting for agents' myopia (leading to undersaving and underinvestment in health), and for their incapacity to perceive the effect of health spending on the resource constraint of the economy (causing overinvestment in health). The second-best problem is also examined under linear taxation instruments. Our main result is that it may be optimal to tax health spending, in particular under a complementarity of genes and health spending in the production of longevity.longevity ; myopia ; genetic background ; social security ; paternalism

Should we subsidize longevity?

This paper studies the design of the optimal non linear taxation in an economy where longevity varies across agents, and depends on three factors: longevity genes, health investment and farsightedness. Provided earnings, farsightedness and genes are correlated, governmental intervention can be justified on two grounds: correction for a lack of farsightedness and redistribution across both earnings and genetic dimensions. Whether longevity-enhancing spending should be subsidized or taxed is shown to depend on the combined effects of myopia, self-selection and free-riding on the annuity returns. Our policy conclusions depend also on how productivity and genes are correlated, on the complementarity of genes and efforts in the survival function, and on how the government weights the welfare of heterogeneous agents. All in all, it might be desirable to tax longevity-enhancing spending.optimal taxation, longevity, genetic background, heterogeneity, myopia.