M. A. Puente del Campo, M. Domènech Blàzquez, J. M. Giménez Pradales
Bicooperative games were introduced by Bilbao et al. in 2000 as a generalization of classical cooperative games, where each player can participate positively to the game, negatively, or do not participate.
A central question in Game Theory is to define a solution concept for a game. In the context of bicooperative games this concept has also been studied and different solution concepts have been introduced. Bilbao et al. in 2000 introduced the Shapley value for these games. In 2008 they defined and characterized biprobabilistic values for bicooperative games following Weber's characterization of probabilistic values on cooperative games. In 2010 they analized ternary bicooperative games and defined and axiomatized the Banzhaf power index for these games.
We introduce bisemivalues for bicooperative games in a similar way than given by Dubey et al. in 1981 for semivalues on cooperative games. We also give a computational procedure in terms of the MLE of the game to calculate them.
Palabras clave: Cooperative games; multilinear extension; semivalues; bicooperative games; bisemivalues
Programado
M05.5 Grupo de Teoría de Juegos I
6 de septiembre de 2016 11:00
Aula 21.06
