For cooperative games with transferable utility, convexity has turned out to be an important and widely applicable concept.Convexity can be defined in a number of ways, each having its own specific attractions.Basically, these definitions fall into two categories, namely those based on a...

Abstract: In this paper we provide a characterisation of the set of fall back equilibria for 2 x n bimatrix games. Furthermore, for this type of games we discuss the relation between the set of fall back equilibria and the sets of perfect, proper and strictly perfect equilibria. In order to do...

This paper introduces a new class of transferable-utility games, called multi-issue allocation games.These games arise from various allocation situations and are based on the concepts underlying the bankruptcy model, as introduced by O'Neill (1982).In this model, a perfectly divisible good...

In this paper we consider communication situations in which utility is nontransferable. We compare this model with the more familiar model of transferable utility communication situations and point out an odd feature of the latter. We mainly focus on the inheritance of properties of the...

AMS classification: 90D12

AMS classification: 90D12

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...