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Several relationships between simple games and a particular type of solu-
tions for cooperative games are studied in this paper. These solutions belong to the
set of semivalues and they are related to a unique parameter that explicitly provides
their weighting coefficients. Through the allocations offered by this family of solu-
tions, so-called binomial semivalues, and also from their respective potentials, some
characteristics of the simple games can be recovered. The paper analyzes the capacity
of binomial semivalues to summarize the structure of simple games, and, moreover,
a property of separation among simple games is given.
CitationAmer, R.; Gimenez, J.; Magaña, A. Reconstructing a simple game from a uniparametric family of allocations. "TOP", 01 Octubre 2013, vol. 21, núm. 3, p. 505-523.
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