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Values of games with weighted graphs

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González-Arangüena, Enrique and Manuel García, Conrado Miguel and Pozo, M. del (2014) Values of games with weighted graphs. [ Cuadernos de Trabajo. Facultad de Estudios Estadísticos; nº 2/2014, ]

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Abstract

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.


Item Type:Working Paper or Technical Report
Uncontrolled Keywords:TU-game, weighted graph, Myerson value, fairness, balanced contributions, stability
Subjects:Sciences > Statistics
Sciences > Statistics > Mathematical statistics
Sciences > Statistics > Operations research
Sciences > Statistics > Game theory
Series Name:Cuadernos de Trabajo. Facultad de Estudios Estadísticos
Volume:
Number:2/2014
ID Code:24830
Deposited On:08 Apr 2014 19:50
Last Modified:08 Apr 2014 19:50

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