Title:
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An axiomatic characterization of the potential decisiveness index
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Author:
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Freixas Bosch, Josep; Pons Navarro, Montserrat
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. Departament de Projectes Arquitectònics; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
Abstract:
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This is a post-peer-review, pre-copyedit version of an article published in Journal of the Operational Research Society. The definitive publisher-authenticated version Freixas, J.; Pons, M. An axiomatic characterization of the potential decisiveness index. Journal of the Operational Research Society, 2015, vol. 66, no. 3, p. 353-359 is available online at: http://www.palgrave-journals.com/jors/journal/v66/n3/full/jors20145a.html |
Abstract:
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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. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs -Game theory -Decision making -- Mathematical models -Voting -- Mathematical models -Game theory -Potential decisiveness index -Measure for bribes -Axiomatization -Standard power indices -Relationship among several measures -Ordinal equivalence -Voting games -Power -Sucess -Voters -Values -Lucky -Jocs, Teoria de -Decisió, Presa de -- Models matemàtics -Vot -- Models matemàtics -Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory |
Rights:
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Document type:
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Article - Submitted version Article |
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