We consider two-sided matching markets in which agents have private information on a state of nature which determines the agents' utilities of matching. Monetary transfers are allowed and utility functions are quasi-linear. The model thus extends the assignment game introduced by Shapley and...

For any TU game and any ranking of players, the set of all preimputations compatible with the ranking, equipped with the Lorenz order, is a bounded join semi-lattice. Furthermore, the set admits as sublattice the S-Lorenz core intersected with the region compatible with the ranking. This result...

In a commonvalueauction in which the information partitions of the bidders are connected, all rings are core-stable. More precisely, the ex ante expected utilities of rings, at the (noncooperative) sophisticated equilibrium proposed by Einy et al. [Einy, E., Haimanko, O., Orzach, R., Sela, A.,...

This is a brief survey describing some of the recent progress and open problems in the area of cooperative games with incomplete information. We discuss exchange economies, cooperative Bayesian games with orthogonal coalitions, and issues of cooperation in non-cooperative Bayesian games.

We propose a semi-cooperative game theoretic approach to check whether a given coalition is stable in a Bayesian game with independent private values. The ex ante expected utilities of coalitions, at an incentive compatible (noncooperative) coalitional equilibrium, describe a (cooperative)...

In several papers, Negishi revisted the foundations of competitition. Sensitive to the Edgeworthian views of exchange but strongly influenced by the law of indifference of Jevons, he tried to reconcile both approaches. The main result of this synthesis is the equivalence between the walrasian...

The article shows how Jean-Francois Mertens contributed to the development of game theory and microeconomics as we know them today. Along with about 80 articles, Mertens's topics go from the formulation of Bayesian decision making in games with incomplete information to the foundations of cost...

All Courts rule ex-post, after most economic decisions are sunk. This might generate a time-inconsistency problem. From an ex-ante perspective, Courts will have the (ex-post) temptation to be excessively lenient. This observation is at the root of the principle of stare decisis. Stare decisis...

This article is devoted to a survey of results for differential games obtained through Viability Theory. We recall the basic theory for differential games (obtained in the 1990s), but we also give an overview of recent advances in the following areas : games with hard constraints, stochastic...

Questioning about game theory as an institutionalism theory could seem unsound at first glance. In game theory, the very basic concept of players’ strategies is quite individualistic and really independent on any social constraint and other institutional consideration. On another hand, the...