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Enumeration of weighted games with minimum and an analysis of voting power for bipartite complete games with minimum

Autor
Freixas, J.; Kurz, S.
Tipus d'activitat
Article en revista
Revista
Annals of operations research
Data de publicació
2014-11
Volum
222
Número
1
Pàgina inicial
317
Pàgina final
339
DOI
https://doi.org/10.1007/s10479-013-1348-x Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/25089 Obrir en finestra nova
https://arxiv.org/abs/1310.6113 Obrir en finestra nova
Resum
This paper is a twofold contribution. First, it contributes to the problem of enumerating some classes of simple games and in particular provides the number of weighted games with minimum and the number of weighted games for the dual class as well. Second, we focus on the special case of bipartite complete games with minimum, and we compare and rank these games according to the behavior of some efficient power indices of players of type 1 (or of type 2). The main result of this second part estab...
Citació
Freixas, J.; Kurz, S. Enumeration of weighted games with minimum and an analysis of voting power for bipartite complete games with minimum. "Annals of operations research", Novembre 2014, vol. 222, núm. 1, p. 317-339.
Paraules clau
Banzhaf power indices, Council, Dimension, Enumerations, Europena Union, Indexes, Ordinal equivalence, Semivalues, Shapley-Shubik power index, Simple game, System, Weighted and complete games
Grup de recerca
GRTJ - Grup de Recerca en Teoria de Jocs

Participants

Arxius