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...

This paper investigates strategic interactions between a private highway operator anda private transit operator who uses the same highway for its services. Heterogeneity oftravellers is taken into account by considering a continuous distribution of values of time.Demand elasticity arises from...

Governments in certain countries have tried over the last two decades to draw most industry to the largest cities. The effect has generally been a large increase in both the population and land area of the cities, as the nearby rural areas are taken out of agricultural production and urbanized....

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...

The Shapley value of a cooperative transferable utility game distributes the dividendof each coalition in the game equally among its members. Given exogenous weightsfor all players, the corresponding weighted Shapley value distributes the dividendsproportionally to their weights. In this...

AMS classification: 90D12