A value for generalized probabilistic communication situations
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Authors
Gómez, D.
González-Arangüena, E.
Manuel, C.
Owen, G.
Subjects
Myerson value
TU games
Graph restricted games
Game theory
TU games
Graph restricted games
Game theory
Advisors
Date of Issue
2008
Date
2008
Publisher
Elsevier B.V.
Language
en_US
Abstract
We introduce in this work an extension of the model of games with probabilistic graphs arising in Calvo et al. (1999,
Math. Soc. Sci. 37, 79), which itself generalizes the one developed by Myerson (1977, Math. of Oper. Res. 2, 225) for games
with communications restrictions. In the first of these models, each pair of nodes has a given probability of direct communication.
In this paper a more general setting is considered: we suppose that a probability distribution over the set of all
possible communication networks among the players is given. A generalization of the Myerson value is defined and characterized
in this context.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.ejor.2007.06.040
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Plan Nacional de I+D+i of the Spanish Government
Funder
Plan Nacional de I+D+i project MTM2005-09184-C02-01
Format
19 p.
Citation
Gomez, D., Gonzalez-Aranguena, E., Manuel, C. & Owen, G. 2008, "A value for generalized probabilistic communication situations", European Journal of Operational Research, vol. 190, no. 2, pp. 539-556.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.