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This paper studies the normative problem of redistribution among individuals who can influence their longevity through a non-monetary effort but have different taste for effort. As benchmarks, the authors first present the laissez-faire and the first best. In the first best, the level of effort is always lower than in the laissez-faire as the social planner takes into account the consequences of higher survival on the budget constraint. However, since they suppose that effort is private and non-monetary (like exercising), it is reasonable to think that the social planner has no control over it. Thus, they modify the framework and assume for the rest of the paper that effort is determined by the individual while the social planner only allocates consumptions.
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