An assignment situation can be considered as a two-sided market consisting of two disjoint sets of objects. A non-negative reward matrix describes the profit if an object of one group is assigned to an object of the other group. Assuming that each object is owned by a different agent, Shapley...

In this paper we study the relation between convexity of TU games and marginal vectors. We show that if specfic marginal vectors are core elements, then the game is convex. We characterize sets of marginal vectors satisfying this property, and we derive the formula for the minimum number of...

This paper introduces fixed tree games with repeated players (FRP games) which are a generalization of standard fixed tree games. This generalization consists in allowing players to be located in more than one vertex. As a consequence, these players can choose among several ways of connection...