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• W2263481943 abstract "In order to study voting situations when voters can also abstain and the output is binary, i.e., either approval or rejection, a new extended model of voting rule was defined. Accordingly, indices of power, in particular Banzhaf’s index, were considered. In this paper we argue that in this context a power index should be a pair of real numbers, since this better highlights the power of a voter in two different cases, i.e., her being crucial when switching from being in favor to abstain, and from abstain to be contrary. We also provide an axiomatization for both indices, and from this a characterization as well of the standard Banzhaf index (the sum of the former two) is obtained. Some examples are provided to show how the indices behave." @default.
• W2263481943 created "2016-06-24" @default.
• W2263481943 creator A5071221047 @default.
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• W2263481943 date "2016-02-09" @default.
• W2263481943 modified "2023-09-25" @default.
• W2263481943 title "Power in voting rules with abstention: an axiomatization of a two components power index" @default.
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• W2263481943 doi "https://doi.org/10.1007/s10479-016-2124-5" @default.
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