We introduce several new solution concepts for cooperative games with arbitrary coalition structure. Of our main interest are coalitions structures being so-called building sets. A collection of sets is a building set if every singleton is a member and if the union of any two non-disjoint sets...

We study cooperative games with communication structure, represented by an undirected graph. Players in the game are able to cooperate only if they can form a network in the graph. A single-valued solution, the average tree solution, is proposed for this class of games. Given the graph structure...

We study cooperative games with communication structure, represented by an undirected graph. Players in the game are able to cooperate only if they can form a network in the graph. A single-valued solution, the average tree solution, is proposed for this class of games. Given the graph structure...

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {+/-1,+/-2,...,+/-n} with the property that antipodal vertices on the...

A cooperative game with non-transferable utility (NTU-game) consists of a collection of payoff sets for the subsets of a finite set of players, for which it has to be determined how much payoff each player must receive. The core of an NTU-game consists of all payoff vectors that are in the...

In this paper three sufficient conditions are provided under each of which an upper semi-continuous point-to-set mapping defined on an arbitrary polytope has a connected set of zero points that connect two distinct faces of the polytope. Furthermore, we obtain an existence theorem of a connected...

Let X be a non-empty, compact, convex set in R and o an upper semi-continuous mapping from X to the collection of non-empty, compact, convex subsets of R;. It is well known that such a mapping has a stationary point on X, i.e. there exists a point in X satisfying that its image under o has a...