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On the consistency of the Banzhaf semivalue
Authors:Luis M. Ruiz
Affiliation:(1) Dto. Economía Aplicada I, Facultad de Ciencias Económicas, Universidad del Pais Vasco, Avenida Lehendakari Aguirre, 83, 48015 Bilbao, Spain
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.
Keywords:Consistency  reduced games  Banzhaf semivalue  Shapley value
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