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A Banzhaf Share Function for Cooperative Games in Coalition Structure

By Gerard van der Laan and Rene van den Brink


A cooperative game with transferable utility or simply a TU-game describes a situation in which players can obtain certain payoffs by cooperation. A value function for these games assigns to every TU-game a distribution of payoffs over the players. Well-known solutions for TU-games are the Shapley- and the Banzhaf value. An alternative type of solution is the concept of share function, which assigns to every player in a TU-game its share in the worth of the grand coalition. In thi

Year: 2001
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