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Artículo
The Banzhaf power index for ternary bicooperative games
dc.creator | Bilbao Arrese, Jesús Mario | es |
dc.creator | Fernández García, Julio R. | es |
dc.date.accessioned | 2024-05-22T10:23:24Z | |
dc.date.available | 2024-05-22T10:23:24Z | |
dc.date.issued | 2010-05 | |
dc.identifier.issn | 0166-218X | es |
dc.identifier.issn | 1872-6771 | es |
dc.identifier.uri | https://hdl.handle.net/11441/158797 | |
dc.description.abstract | In this paper we analyze ternary bicooperative games, which are a refinement of the concept of a ternary voting game introduced by Felsenthal and Machover. Furthermore, majority voting rules based on the difference of votes are simple bicooperative games. First, we define the concepts of the defender and detractor swings for a player. Next, we introduce the Banzhaf power index and the normalized Banzhaf power index. The main result of the paper is an axiomatization of the Banzhaf power index for the class of ternary bicooperative games. Moreover, we study ternary bicooperative games with two lists of weights and compute the Banzhaf power index using generating functions. | es |
dc.format | application/pdf | es |
dc.format.extent | 14 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Banzhaf power index | es |
dc.subject | Generating function | es |
dc.subject | Ternary bicooperative game | es |
dc.title | The Banzhaf power index for ternary bicooperative games | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.projectID | SEJ2006–00706 | es |
dc.relation.projectID | FQM237 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0166218X10000624 | es |
dc.identifier.doi | 10.1016/j.dam.2010.02.007 | es |
dc.contributor.group | Universidad de Sevilla. FQM237: Juegos con Estructuras Combinatorias y de Orden | es |
dc.journaltitle | Discrete Applied Mathematics | es |
dc.publication.volumen | 158 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 967 | es |
dc.publication.endPage | 980 | es |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Junta de Andalucía | es |
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