In this paper we characterize the class of games for which the core coincides with the core cover (compromise stable games).Moreover we will develop an easy explicit formula for the nucleolus for this class of games, using an approach based on bankruptcy problems.Also the class of convex...

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 and...

This paper employs a cooperative approach to insurance group formation problems.The insurance group formation is analyzed in terms of stability with respect to one-person deviations.Depending on the exact contractual setting, three stability concepts are proposed: individual, contractual and...

In this paper we generalise marginal vectors and permutational convexity.We show that if a game is generalised permutationally convex, then the corresponding generalised marginal vector is a core element.Furthermore we refine the concept of permutational convexity and show that this refinement...

Chain-component additive games are graph-restricted superadditive games, where an exogenously given line-graph determines the cooperative possibilities of the players.These games can model various multi-agent decision situations, such as strictly hierarchical organisations or sequencing /...

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...

In this paper we construct sets of marginal vectors of a TU game with the property that if the marginal vectors from these sets are core elements, then the game is convex.This approach leads to new upperbounds on the number of marginal vectors needed to characterize convexity.An other result is...

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 with...

In this paper we introduce the class of simple combinatorial optimisation cost games, which are games associated to {0, 1}-matrices.A coalitional value of a combinatorial optimisation game is determined by solving an integer program associated with this matrix and the characteristic vector of...

We consider the allocation of a finite number of indivisible objects to the same number of agents according to an exogenously given queue.We assume that the agents collaborate in order to achieve an efficient outcome for society.We allow for side-payments and provide a method for obtaining...