Axiomatizations of Banzhaf Permisson Values for Games with a Hierarchical Permission Structure.

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    Abstract

    In games with a permission structure it is assumed that players in a cooperative transferable utility game are hierarchically ordered in the sense that there are players that need permission from other players before they are allowed to cooperate. We provide axiomatic characterizations of Banzhaf permission values being solutions that are obtained by applying the Banzhaf value to modified TU-games. In these characterizations we use power- and player split neutrality properties. These properties state that splitting a player's authority and/or contribution over two players does not change the sum of their payoffs. © The Author(s) 2010.
    Original languageEnglish
    Pages (from-to)445-466
    JournalInternational Journal of Game Theory
    Volume39
    DOIs
    Publication statusPublished - 2010

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