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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/63189
Parallel characterizations of a generalized shapley value and a generalized banzhaf value for cooperative games with level structure of cooperation
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We present parallel characterizations of two different values in the framework of restricted cooperation games. The restrictions are introduced as a finite sequence of partitions defined on the player set, each of them being coarser than the previous one, hence forming a structure of different levels of a priori unions. On the one hand, we consider a value first introduced in Ref. [18], which extends the Shapley value to games with different levels of a priori unions. On the other hand, we introduce another solution for the same type of games, which extends the Banzhaf value in the same manner. We characterize these two values using logically comparable properties.
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ÁLVAREZ-MOZOS, Mikel and TEJADA, Oriol. Parallel characterizations of a generalized shapley value and a generalized banzhaf value for cooperative games with level structure of cooperation. Decision Support Systems. 2011. Vol. 52, num. 1, pags. 21-27. ISSN 0167-9236. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/63189