This paper studies a problem of non linear taxation when individuals have different longevities resulting from a non-monetary effort (like exercising). We first present the laissez-faire and the first best. Like Becker and Philipson (1998), we find that the laissez-faire level of effort is too...

We consider a political economy model in which agents have the possibility to hide part of their earnings in order to avoid taxation. Taxation is exclusively used to finance a pension system. If the pension system is implemented, agents in their old age receive a benefit which includes both a...