An axiomatic characterization of the potential decisiveness index

An axiomatic characterization of the potential decisiveness index

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Article ID: iaor201525420
Volume: 66
Issue: 3
Start Page Number: 353
End Page Number: 359
Publication Date: Mar 2015
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: investment
Abstract:

Let us consider that somebody is extremely interested in increasing the probability of a proposal to be approved by a certain committee and that to achieve this goal he/she is prepared to pay off one member of the committee. In a situation like this one, and assuming that vote‐buying is allowed and free of stigma, which voter should be offered a bribe? The potential decisiveness index for simple games, which measures the effect that ensuring one positive vote produces for the probability of passing the issue at hand, is a good tool with which to acquire the answer. An axiomatic characterization of this index is given in this paper, and its relation to other classical power indices is shown.

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