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- W3123053646 abstract "We introduce the axiom of composition independence for power indices and value maps. In the context of compound (two-tier) voting, the axiom requires the power attributed to a voter to be independent of the second-tier voting games played in all constituencies other than that of the voter. We show that the Banzhaf power index is uniquely characterized by the combination of composition independence, four semivalue axioms (transfer, positivity, symmetry, and dummy), and a mild efficiency-related requirement. A similar characterization is obtained as a corollary for the Banzhaf value on the space of all finite games (with transfer replaced by additivity)." @default.
- W3123053646 created "2021-02-01" @default.
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- W3123053646 date "2017-01-01" @default.
- W3123053646 modified "2023-09-27" @default.
- W3123053646 title "Composition Independence In Compound Games: A Characterization Of The Banzhaf Power Index And The Banzhaf Value" @default.
- W3123053646 hasPublicationYear "2017" @default.
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