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Using the multilinear extension to study some probabilistic power indices

Autor
Freixas, J.; Pons, M.
Tipus d'activitat
Article en revista
Revista
Group decision and negotiation
Data de publicació
2017-05-01
Volum
26
Número
3
Pàgina inicial
437
Pàgina final
452
DOI
https://doi.org/10.1007/s10726-016-9514-6 Obrir en finestra nova
Projecte finançador
Aspectos matemáticos, computacionales y sociales en contextos de votación y de cooperación
Repositori
http://hdl.handle.net/2117/104580 Obrir en finestra nova
URL
https://link.springer.com/article/10.1007%2Fs10726-016-9514-6 Obrir en finestra nova
Resum
The final publication is available at Springer via http://dx.doi.org/10.1007/s10726-016-9514-6 We consider binary voting systems modeled by a simple game, in which voters vote independently of each other, and the probability distribution over coalitions is known. The Owen’s multilinear extension of the simple game is used to improve the use and the computation of three indices defined in this model: the decisiveness index, which is an extension of the Banzhaf index, the success index, which is...
Citació
Freixas, J., Pons, M. Using the multilinear extension to study some probabilistic power indices. "Group decision and negotiation", 1 Maig 2017, vol. 26, núm. 3, p. 437-452.
Paraules clau
Game Theory, Voting, Simple Games, Power Indices, Multilinear Extension
Grup de recerca
GRTJ - Grup de Recerca en Teoria de Jocs

Participants