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The minimum sum representation as an index of voting power
dc.contributor.author | Freixas Bosch, Josep |
dc.contributor.author | Kaniovski, Serguei |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2014-01-30T19:11:23Z |
dc.date.available | 2014-01-30T19:11:23Z |
dc.date.created | 2014-03-16 |
dc.date.issued | 2014-03-16 |
dc.identifier.citation | Freixas, J.; Kaniovski, S. The minimum sum representation as an index of voting power. "European journal of operational research", 16 Març 2014, vol. 233, núm. 3, p. 739-748. |
dc.identifier.issn | 0377-2217 |
dc.identifier.uri | http://hdl.handle.net/2117/21411 |
dc.description.abstract | We propose a new power index based on the minimum sum representation (MSR) of a weighted voting game. The MSR o ers a redesign of a voting game, such that voting power as measured by the MSR index becomes proportional to voting weight. The MSR index is a coherent measure of power that is ordinally equivalent to the Banzhaf, Shapley-Shubik and Johnston indices. We provide a characterization for a bicameral meet as a weighted game or a complete game, and show that the MSR index is immune to the bicameral meet paradox. We discuss the computation of the MSR index using a linear integer program and the inverse MSR problem of designing a weighted voting game with a given distribution of power. |
dc.format.extent | 10 p. |
dc.language.iso | eng |
dc.publisher | Elsevier |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
dc.subject.lcsh | Voting--Mathematical models |
dc.subject.other | Bicameral meet |
dc.subject.other | Minimum integer sum representation |
dc.subject.other | Power indices |
dc.subject.other | Proportional design between shares and power |
dc.subject.other | Rankings |
dc.title | The minimum sum representation as an index of voting power |
dc.type | Article |
dc.subject.lemac | Vot -- Models matemàtics |
dc.contributor.group | Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
dc.identifier.doi | 10.1016/j.ejor.2013.09.010 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::91 Game theory, economics, social and behavioral sciences |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0377221713007467 |
dc.rights.access | Open Access |
local.identifier.drac | 12968589 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Freixas, J.; Kaniovski, S. |
local.citation.publicationName | European journal of operational research |
local.citation.volume | 233 |
local.citation.number | 3 |
local.citation.startingPage | 739 |
local.citation.endingPage | 748 |
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