2026-04-13T02:43:38Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1754492026-02-02T09:22:01Zcom_2072_1033col_2072_452950

A probabilistic unified approach for power indices in simple games Freixas Bosch, Josep Pons Vallès, Montserrat Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs Game theory Decision making -- Mathematical models Voting -- Mathematical models Simple games Power indices Probabilistic models Jocs, Teoria de Decisió, Presa de -- Models matemàtics Vot -- Models matemàtics Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory Classificació AMS::91 Game theory, economics, social and behavioral sciences::91B Mathematical economics The final publication is available at Springer via https://doi.org/10.1007/978-3-662-60555-4_11 Many power indices on simple games have been defined trying to measure, under different points of view, the “a priori” importance of a voter in a collective binary voting scenario. A unified probabilistic way to define some of these power indices is considered in this paper. We show that six well-known power indices are obtained under such a probabilistic approach. Moreover, some new power indices can naturally be obtained in this way. Peer Reviewed Postprint (author's final draft) 2019-11-01 Part of book or chapter of book Lecture Notes in Computer Science (11890) Transactions on Computational Collective Intelligence (11890) https://link.springer.com/book/10.1007/978-3-662-60555-4 info:eu-repo/grantAgreement/MINECO//MTM2015-66818-P/ES/ASPECTOS MATEMATICOS, COMPUTACIONALES Y SOCIALES EN CONTEXTOS DE VOTACION Y DE COOPERACION./ Open Access Springer