For the class of cooperative games with transferable utilities an excess function e is defined as a function of two variables increasing in the first variable and decreasing in the first one such that given a TU game (N,v) , a coalition S, and a payoff vector x, the value e(v(S), x(S)) is a...

A situation in which a finite set of agents can generate certain payoffs by cooperation can be described by a cooperative game with transferable utility (or simply a TU-game) where each agent is represented by one player in the game. In this paper, we assume that one agent can be represented by...

We introduce the concept of a transferable utility game with uncertainty (TUUgame). In a TUU-game there is uncertainty regarding the payoffs of coalitions. One out of a finite number of states of nature may materialize and conditional on the state, the players are involved in a particular...

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...

On several classes of n-person NTU games that have at least one Shapley NTU value, Aumann characterized this solution by six axioms: Non-emptiness, efficiency, unanimity, scale covariance, conditional additivity, and independence of irrelevant alternatives (IIA). Each of the first five axioms is...

We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player i's prediction value equals the difference between the conditional...

Agents participating in different kind of organizations, usually take different positions in some relational structure. The aim of this paper is to introduce a new framework taking into account both communication and hierachical features derived from this participation. In fact, this new set or...