An axiomatization of the Banzhaf value for cooperative games on antimatroids
نویسندگان
چکیده
Cooperative games on antimatroids are cooperative games in which coalition formation is restricted by a combinatorial structure which generalizes permission structures. These games group several well-known families of games which have important applications in economics and politics. The current paper establishes axioms that determine the restricted Banzhaf value for cooperative games on antimatroids. The set of given axioms generalizes the axiomatizations given for the Banzhaf permission values. We also give an axomatization of the restricted Banzhaf value for the smaller class of poset antimatroids. Finally, we apply the above results to auction situations.
منابع مشابه
Axiomatizations of the Shapley value for cooperative games on antimatroids
Cooperative games on antimatroids are cooperative games restricted by a combinatorial structure which generalize the permission structure. So, cooperative games on antimatroids group several well-known families of games which have important applications in economics and politics. Therefore, the study of the rectricted games by antimatroids allows to unify criteria of various lines of research. ...
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ورودعنوان ژورنال:
- Math. Meth. of OR
دوره 59 شماره
صفحات -
تاریخ انتشار 2004