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A note on limit results for the Penrose-Banzhaf index

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arxiv 1808.03197 v2 pith:HHVKQXFI submitted 2018-08-09 cs.GT

classification cs.GT
keywords indexlimitpenrose-banzhafresultsconditionsdistributionapproachescertain
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It is well known that the Penrose-Banzhaf index of a weighted game can differ starkly from corresponding weights. Limit results are quite the opposite, i.e., under certain conditions the power distribution approaches the weight distribution. Here we provide parametric examples that give necessary conditions for the existence of limit results for the Penrose-Banzhaf index.

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