Optimal Social Insurance with Endogenous Health*

In this paper, I analyze optimal insurance against unemployment and disability in a private information economy with endogenous health and search effort. Individuals can reduce the probability of becoming disabled by exerting prevention effort. I show that the optimal sequence of consumption is increasing for a working individual and constant for a disabled individual. During unemployment, decreasing benefits are not necessarily optimal. The prevention constraint implies increasing benefits while the search constraint demands decreasing benefits while being unemployed. However, if individuals respond sufficiently to search incentives, the latter effect dominates the former and the optimal consumption sequence is decreasing during unemployment.