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On the consistency of the Banzhaf semivalue - MaRDI portal

On the consistency of the Banzhaf semivalue (Q1304782)

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scientific article; zbMATH DE number 1340337
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English
On the consistency of the Banzhaf semivalue
scientific article; zbMATH DE number 1340337

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    On the consistency of the Banzhaf semivalue (English)
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    22 September 1999
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    In this note we show that the Banzhaf semivalue is consistent with respect to a suitable reduced game which keeps a clear parallelism with that defined by \textit{S. Hart} and \textit{A. Mas-Colell} [Econometrica 57, No. 4, 589--614 (1989; Zbl 0675.90103)] to prove the consistency of the Shapley value. We also use this reduced game property to characterize the Banzhaf semivalue.
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    Consistency
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    reduced games
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    Banzhaf semivalue
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    Shapley value
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