Template-Type: ReDIF-Paper 1.0
Series: Tinbergen Institute Discussion Papers
Creation-Date: 2008-01-17
Number: 08-006/1
Author-Name: Enrique González-Arangüena
Author-Email: egaran@estad.ucm.es
Author-Workplace-Name: Universidad Complutense de Madrid
Author-Name: Conrado Manuel
Author-Email: conrado@estad.ucm.es
Author-Workplace-Name: Universidad Complutense de Madrid
Author-Name: Daniel Gomez
Author-Email: dagomez@estad.ecm.es
Author-Workplace-Name: Universidad Complutense de Madrid
Author-Name: René van den Brink
Author-Email: jrbrink@feweb.vu.nl
Author-Workplace-Name: VU University Rotterdam
Title: A Value for Directed Communication Situations
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.
Classification-JEL: C71
Keywords: Myerson value; Digraph communication situations
File-Url: https://papers.tinbergen.nl/08006.pdf
File-Format: application/pdf
File-Size: 219250 bytes
Handle: RePEc:tin:wpaper:20080006