Games on fuzzy communication structures with Choquet players

Andrés Jiménez-Losada, Julio R. Fernández, Manuel Ordóñez and Michel Grabisch
Authors registered in the RePEc Author Service: Manuel Ordóñez Sánchez ()

European Journal of Operational Research, 2010, vol. 207, issue 2, 836-847

Abstract: Myerson (1977) used graph-theoretic ideas to analyze cooperation structures in games. In his model, he considered the players in a cooperative game as vertices of a graph, which undirected edges defined their communication possibilities. He modified the initial games taking into account the graph and he established a fair allocation rule based on applying the Shapley value to the modified game. Now, we consider a fuzzy graph to introduce leveled communications. In this paper players play in a particular cooperative way: they are always interested first in the biggest feasible coalition and second in the greatest level (Choquet players). We propose a modified game for this situation and a rule of the Myerson kind.

Keywords: Game; theory; Fuzzy; sets; Graph; theory; Shapley; value (search for similar items in EconPapers)
Date: 2010
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:207:y:2010:i:2:p:836-847

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