Mostra el registre d'ítem simple
An axiomatization for two power indices for (3,2)-simple games
dc.contributor.author | Bernardi, Giulia |
dc.contributor.author | Freixas Bosch, Josep |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-05-22T08:45:25Z |
dc.date.available | 2020-02-01T01:26:02Z |
dc.date.issued | 2019-01-01 |
dc.identifier.citation | Benardi, G.; Freixas, J. An axiomatization for two power indices for (3,2)-simple games. "International game theory review", 1 Gener 2019, vol. 21, núm. 1, 1940001, p. 1-24. |
dc.identifier.issn | 0219-1989 |
dc.identifier.uri | http://hdl.handle.net/2117/133317 |
dc.description | Electronic version of an article published as International Game Theory Review, Vol. 21, Issue 1, 1940001, 2019, p. 1-24. DOI: 10.1142/S0219198919400012] © World Scientific Publishing Company https://www.worldscientific.com/doi/10.1142/S0219198919400012 |
dc.description.abstract | The aim of this work is to give a characterization of the Shapley–Shubik and the Banzhaf power indices for (3,2)-simple games. We generalize to the set of (3,2)-simple games the classical axioms for power indices on simple games: transfer, anonymity, null player property and efficiency. However, these four axioms are not enough to uniquely characterize the Shapley–Shubik index for (3,2)-simple games. Thus, we introduce a new axiom to prove the uniqueness of the extension of the Shapley–Shubik power index in this context. Moreover, we provide an analogous characterization for the Banzhaf index for (3,2)-simple games, generalizing the four axioms for simple games and adding another property. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
dc.subject.lcsh | Game theory |
dc.subject.lcsh | Voting -- Mathematical models |
dc.subject.lcsh | Voting -- Abstention |
dc.subject.other | Games with abstention |
dc.subject.other | Power indices |
dc.subject.other | Axioms |
dc.subject.other | Voting |
dc.title | An axiomatization for two power indices for (3,2)-simple games |
dc.type | Article |
dc.subject.lemac | Jocs, Teoria de |
dc.subject.lemac | Vot -- Models matemàtics |
dc.subject.lemac | Abstencionisme electoral |
dc.contributor.group | Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
dc.identifier.doi | 10.1142/S0219198919400012 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory |
dc.relation.publisherversion | https://www.worldscientific.com/doi/10.1142/S0219198919400012 |
dc.rights.access | Open Access |
local.identifier.drac | 24473677 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//MTM2015-66818-P/ES/ASPECTOS MATEMATICOS, COMPUTACIONALES Y SOCIALES EN CONTEXTOS DE VOTACION Y DE COOPERACION./ |
local.citation.author | Benardi, G.; Freixas, J. |
local.citation.publicationName | International game theory review |
local.citation.volume | 21 |
local.citation.number | 1, 1940001 |
local.citation.startingPage | 1 |
local.citation.endingPage | 24 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.268]
-
Articles de revista [110]