Decisiveness indices are semiindices
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In this note we prove that any decisiveness index, defined for any voter as the probability of him/her being decisive, is a semiindex when the probability distribution over coalitions is anonymous, and it is a semiindex with binomial coefficients when the probability over coalitions is anonymous and independent.
CitationFreixas, J., Pons, M. Decisiveness indices are semiindices. "Economics letters", Juny 2016, vol. 143, p. 13-15.