On the consistency of the Banzhaf semivalue |
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Authors: | Luis M. Ruiz |
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Affiliation: | (1) Dto. Economía Aplicada I, Facultad de Ciencias Económicas, Universidad del Pais Vasco, Avenida Lehendakari Aguirre, 83, 48015 Bilbao, Spain |
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Abstract: | 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 Hart and Mas-Colell in (1989) to prove the consistency of the Shapley value. We also use this reduced game property to characterize the Banzhaf semivalue. |
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Keywords: | Consistency reduced games Banzhaf semivalue Shapley value |
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