Values of games with weighted graphs

  1. González-Arangüena, Enrique
  2. Manuel García, Conrado Miguel
  3. Pozo, M. del
Aldizkaria:
Cuadernos de Trabajo de la Facultad de Estudios Estadísticos

ISSN: 1989-0567 1989-0567

Argitalpen urtea: 2014

Zenbakia: 2

Orrialdeak: 1-25

Mota: Laneko dokumentua

Beste argitalpen batzuk: Cuadernos de Trabajo de la Facultad de Estudios Estadísticos

Laburpena

In this paper we deal with TU games in which cooperation is restricted by means of a weighted network. We admit several interpretations for the weights of a link: capacity of the communication channel, flow across it, intimacy or intensity in the relation, distance between both incident nodes/players, cost of building or main-taining the communication link or even probability of the relation (as in Calvo et al., 1999). Then, accordingly with the different interpretations, we introduce several point solutions for these restricted games in a parallel way to the familiar environ of Myerson. Finally, we characterize these values in terms of the (adapted) component efficiency, fairness and balanced contributions properties and we analyze the extend to which they satisfy the stability property.