Banzhaf values for cooperative games with a proximity relation among the agents

I. Gallego Sánchez, J. R. Fernández García, A. Jiménez Losada, M. Ordóñez Sánchez

Cooperative games study situations of cooperation among a finite set of agents. Owen introduced additional information: a set of a priori unions among the players. It is a partition of the set of players determining the groupings by interest, which must be present in the bargaining of the payoffs. Later Casajus extended the model of Owen to situations in which we know a graph that represents the internal structure of each union. This model is named games with cooperation structure. Later we added more information to these situations using proximity relations. These fuzzy relations can be interpreted as levels of closeness in ideas for example. In this work we propose two Banzhaf-type values in this context using the Choquet integral.

Palabras clave: cooperative games, cooperation structures, proximity relations, Banzhaf value, Choquet integral

X07.5 Grupo de Teoría de Juegos III
7 de septiembre de 2016  15:40
Aula 21.06

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