Nash (1951) claimed that every game must have a solution, even if it means a mixed strategy. His method is to find a probability that equalizes the two expected payoffs. Though simple, the calculation can be tedious. To avoid unnecessary mistake, this paper works out an algorithm to do the...

Pareto optimal allocations and optimal risk sharing for coherent or convex risk measures as well as for insurance prices have been studied widely in the literature. In particular, Pareto optimal allocations have been characterized by applying inf-convolution of risk measures and convex...

Linear programming is an important method for computing solutions to private information problems. The method is applicable for arbitrary specifications of the references and technology. Unfortunately, as the cardinality of underlying sets increases the programs quickly become too large to...

Economists regularly consider moral hazard when they analyze topics like insurance contracts, labor compensation, and financial regulation. The primer provided here describes moral hazard, its implications, and how to model it. The modeling strategy is to allow randomization in the contractual...