The Shapley value of a cooperative transferable utility game distributes the dividendof each coalition in the game equally among its members. Given exogenous weightsfor all players, the corresponding weighted Shapley value distributes the dividendsproportionally to their weights. In this...

A situation in which a finite set of players can generate certain payoffs by cooperation can be described by a cooperative game with transferable utility. A solution for TU-games assigns to every TU-game a distribution of the payoffs that can be earned over the individual players. Two well-known...

We consider cooperative transferable utility games, or simply TU-games, with a limited communication structure in which players can cooperate if and only if they are connected in the communication graph. A difference between the restricted Banzhaf value and the Myerson value (i.e. the Shapley...

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such allocation problems, such as river games, queueing games and auction games, the game is totally positive (i.e., all dividends are nonnegative), and there is some hierarchical...

See also the publication in 'Journal of Mathematical Economics', 2008, 44, 1114-1125. <P> In this paper we describe the extreme points of two closely related polytopes that are assigned to a digraph. The first polytope is the set of all sharing vectors (elements from the unit simplex) such that...</p>

A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...

This discussion paper resulted in a publication in the 'European Journal of Operational Research', 2014, 238, 786-796.<P> Generalized characteristic functions extend characteristic functions of 'classical' TU-games by assigning a real number to every ordered coalition being a permutation of any...</p>

Recently, applications of cooperative game theory to economicallocation problems have gained popularity. To understandthese applications better, economic theory studies thesimilarities and differences between them. The purpose of thispaper is to investigate a special class of cooperative...

This discussion paper resulted in a publication in the <I>International Journal of Game Theory</I>, 39, 445-466.<P> See also ''An Axiomatization of the Conjunctive Permission Value for Games with a Hierarchical Permission Structure'', in: Logic, Game Theory and Social Choice (ed. H. de Swart), pp....</p></i>

A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A solution for TU-games assigns a set of payoff vectors to every TU-game. Some solutions that are based on distributing...