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...

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...

Traditionally, cooperative game theory has been applied to a variety of water resource problems assuming a deterministic pattern of supply. On the other hand, in view of the important role that water plays in regional and local projects, and taking into account that with climate change affecting...

The interpretation of gene interaction in biological networks generates the need for a meaningful ranking of network elements. We introduce a new approach using coalitional games to evaluate the centrality of genes in networks keeping into account genes interactions. The Shapley value for...

The goal of this work is to provide a comprehensive review of different Game Theory applications that have been recently used to predict the behavior of non-rational agents in interaction situations arising from computational biology. In the first part of the paper, we focus on evolutionary...

We consider the asymptotic value of two person zero sum repeated games with general evaluations of the stream of stage payoffs. We show existence for incomplete information games, splitting games and absorbing games. The technique of proof consists in embedding the discrete repeated game into a...

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...