Publication:
Automorphisms and weighted values

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Authors
Carreras, Francesc
Owen, Guillermo
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Advisors
Date of Issue
1997
Date
Publisher
Physica-Verlag
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Abstract
The notion of automorphism is an essential tool to capture the meaning of any mathematical structure. We apply this idea to cooperative games and obtain two interesting characterizations of the automorphisms of such a game: the one, in the complete case, as the permutations of players which preserve the (classical) Shapley value; the other, for the general case, as the permutations preserving all weighted Shapley values.
Type
Article
Description
Series/Report No
Department
Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Carreras' research supported by project UPV 036321-HA 186/92 of the Basque Country University. Owen's research supported by the National Science Foundation, Grant DMS-9116416. This collaboration was made possible by the Polytechnic University of catalonia, which sponsored Owen's visit to Terrassa.
Funder
Format
10 p.
Citation
International Journal of Game Theory, v. 26, 1997, pp. 1-10
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.
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