In many share problems there is a priori given a natural set of possible divisions to solve the sharing problem.Cooperative games related to such share sets are introduced, which may be helpful in solving share problems.Relations between properties of share sets and properties of games are...

In this paper we study the formation of cooperation structures in superadditive cooperative TU-games.Cooperation structures are represented by hypergraphs.The formation process is modelled as a game in strategic form, where the payoffs are determined according to a weighted (extended) Myerson...

AMS classification: 90D05;

Bayesian equilibria are characterized by means of consistency and one-person rationality in combination with non-emptiness or converse consistency. Moreover, strong and coalition-proof Bayesian equilibria of extended Bayesian games are introduced and it is seen that these notions can be...

We consider the two-person zero-sum game in which the strategy sets for Players I and II consist of the vertices and the edges of a directed graph respectively.If Player I chooses vertex v and Player II chooses edge e; then the payoff is zero if v and e are not incident and otherwise it is 1 or...