The class of exact transferable utility coalitional games, introduced in 1972 by Schmeidler, has been studied both the context game theory and imprecise probabilities. We characterize cone games describing minimal set linear inequalities defining this cone; these facet-defining for appear to correspond certain systems (= coalitions). noticed that non-empty proper coalitions having non-zero coef...

By a game in coalitional structure or shortly coalitional game we mean the standard cooperative non-transferable utility game described by a nonempty set of payo®s for each coalition of players. It is well-known that balancedness is a su±cient condition for the nonemptiness of the core of such a cooperative non-transferable utility game. But any information on the internal organization of the c...

Preface This book investigates the classical model of cooperative games with trans-ferable utility (TU-games) and models in which the players have the possibility to cooperate partially, namely fuzzy and multichoice games. In a crisp game the agents are either fully involved or not involved at all in cooperation with some other agents, while in a fuzzy game players are allowed to cooperate with...

Systems that involve more than one decision maker are often optimized using the theory of games. In the traditional game theory, it is assumed that each player has a well-defined quantitative utility function over a set of the player decision space. Each player attempts to maximize minimize his her own expected utility and each is assumed to know the extensive game in full. At present, it canno...

To study the stability of coalitions in the standard game theoretic model of international environmental agreements, two alternative concepts are used: potential internal stability and core stability. Both concepts make use of the possibility of reallocating payoffs within a coalition through transfers, formulated in terms of transferable utility among the players. For international application...

The present paper studies non-cooperative bargaining models implementing a cooperative solution proposed by Kamijo(2005). The basic idea was inspired by the bidding approach of Perez-Castrillo and Wettstein(2001). They show that this mechanism achieves the Shapley value payoff vector in equilibrium. The solution concept considered in this paper is a generalized Shapley value applied to TU(trans...

We provide a new modus operandi for the computation of the nucleolus in cooperative games with transferable utility. Using the concept of dual game we extend the theory of characterization sets. Dually essential and if the game is monotonic dually saturated coalitions determine both the core and the nucleolus whenever the core is non-empty. We show how these two sets are related to the existing...

For cooperative transferable utility games solution concepts are presented which resemble the core-like solution concepts prenucleolus and prekernel. These modified solutions take into account both, the ‘power’, i.e. the worth, and the ‘blocking power’ of a coalition, i.e. the amount which the coalition cannot be prevented from by the complement coalition, in a totally symmetric way. As a direc...

Although the Transferable Utility (TU) assumption is widely used in micro theory, little is known about its testable consequences, and in particular how one can, from the observation of a group’s demand, test whether the TU assumption is satisfied within this group. We derive a set of necessary and sufficient conditions on demand that characterize the TU context. The conditions are of two types...

The positive core is a nonempty extension of the core of transferable utility games. If the core is nonempty, then it coincides with the core. It shares many properties with the core. Six well-known axioms which are employed in some axiomatizations of the core, the prenucleolus, or the positive prekernel, and one new intuitive axiom, characterize the positive core on any infinite universe of pl...