An application of the representations of symmetric groups to characterizing solutions of games in partition function form

• Authors: Joss SÁNCHEZ-PÉREZ
• Languages of publication: EN

Abstracts

EN

A different perspective from the more “traditional” approaches to studying solutions of games in partition function form has been presented. We provide a decomposition of the space of such games under the action of the symmetric group, for the cases with three and four players. In particular, we identify all the irreducible subspaces that are relevant to the study of linear symmetric solutions. We then use such a decomposition to derive a characterization of the class of linear and symmetric solutions, as well as of the class of linear, symmetric and efficient solutions.

Keywords

EN

games in partition function form; value, representation theory; symmetric group

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2014
• Volume: 24
• Issue: 2
• Pages: 97-122

Contributors

author

Joss SÁNCHEZ-PÉREZ

• Facultad de Economa, UASLP, Av. Pintores s/n, Col. B. del Estado 78213, San Luis Potos, México

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Identifiers

DOI

10.5277/ord140205