A Value for Directed Communication Situations

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A Value for Directed Communication Situations

Author Info

Enrique González-Arangüena () (Universidad Complutense de Madrid)
Conrado Manuel () (Universidad Complutense de Madrid)
Daniel Gomez () (Universidad Complutense de Madrid)
René van den Brink () (VU University Rotterdam)

Additional information is available for the following registered author(s):

Rene van den Brink

Abstract

In this paper we introduce an extension of the model of restricted communication in cooperative games as introduced in Myerson (1977) by allowing communication links to be directed and the worth of a coalition to depend on the order in which the players enter the coalition. Therefore, we model the communication network by a directed graph and the cooperative game by a generalized characteristic function as introduced in Nowak and Radzik (1994). We generalize the Myerson value for undirected (or standard) communication situations to the context of directed communication and provide two axiomatizations of this digraph Myerson value using component efficiency and either fairness or the balanced contributions property.

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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 08-006/1.

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Date of creation: 17 Jan 2008
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Handle: RePEc:dgr:uvatin:20080006

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

This paper has been announced in the following NEP Reports:

NEP-ALL-2008-06-21 (All new papers)
NEP-GTH-2008-06-21 (Game Theory)
NEP-NET-2008-06-21 (Network Economics)

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

RenÊ van den Brink, 1997. "An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure," International Journal of Game Theory, Springer, vol. 26(1), pages 27-43.
Gilles, R.P. & Owen, G., 1999. "Cooperative games and disjunctive permission structures," Discussion Paper 20, Tilburg University, Center for Economic Research. [Downloadable!]
van den Brink, Rene & Gilles, Robert P., 1996. "Axiomatizations of the Conjunctive Permission Value for Games with Permission Structures," Games and Economic Behavior, Elsevier, vol. 12(1), pages 113-126, January. [Downloadable!] (restricted)
Gilles, Robert P & Owen, Guillermo & van den Brink, Rene, 1992. "Games with Permission Structures: The Conjunctive Approach," International Journal of Game Theory, Springer, vol. 20(3), pages 277-93.

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