Efficient risk-sharing rules and equilibria between two agents with utilities in a class that contains the Rank Dependent Expected Util- ity (RDU) are fully characterized. Specific attention is given to the RDU. Call-spreads and contracts with mixed regimes are shown to be efficient....

We consider a class of law invariant utilities which contains the Rank Dependent Expected Utility (RDU) and the cumulative prospect theory (CPT). We show that the computation of demand for a contingent claim when utilities are within that class, although not as simple as in the Expected Utility...

This paper provides an existence theorem for a class of infinite-dimensional non-convex problems arising in symmetric and asymmetric information models. Sufficient conditions for monotonicity of solutions are also given. The proofs are very simple and rely on rearrangement techniques and the...

This paper provides a method to prove existence of solutions to some moral hazard problems with infinite set of outcomes. The argument is based on the concept of nondecreasing rearrangement and on a supermodular version of Hardy–Littlewood’s inequality. The method also provides qualitative...

This paper characterizes the core of a differentiable convex distortion of a probability measure on a nonatomic space by identifying it with the set of densities which dominate the derivative of the distortion, for second order stochastic dominance. The densities that have the same distribution...

We consider a simple model of lending and borrowing combining two informational problems: adverse selection and costly state verification. Our analysis highlights the interaction between these two informational problems. We notably show that the higher the monitoring cost, the less...

We consider an optimization problem in a given region Q where an agent has to decide the price p(x) of a product for every x ∈ Q. The customers know the pricing pattern p and may shop at any place y, paying the cost p(y) and additionally a transportation cost c(x, y) for a given trans-...

We are given a list of tasks Z and a population divided into several groups X j of equal size. Performing one task z requires constituting a team with exactly one member x j from every group. There is a cost (or reward) for participation: if type x j chooses task z, he receives p j (z);...

Using a substitution property of worker’s types (productivity and time preference), we propose an explanation for both fixed-wages and wage differentials. Fixed-wages result in bunching at the optimum. Equally productive workers with different time preference accept different wages.

The article analyzes the Dynkin (1975) stochastic model of economic equilibrium. We solve a question regarding this model that was open for a long time. We provide arguments yielding a complete proof of Dynkin's existence theorem for equilibrium paths.