This paper extends the analysis of insurance contracts design to the case of "low probability events", when there is a probability mass on the "no accident-zero loss"-event. The optimality of the deductible clause is discussed both at the theoretical and empirical levels.

In this paper, we assume that a criminal organization is an agency where the Principal and the Agent have different sensibilities towards the risk of arrestation and punishment, and at the same time have different skills with respect to general organization tasks, crime realization or detection...