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

• Autorzy: Sánchez-Pérez J.

Identyfikatory

DOI

10.5277/ord140205

• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

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

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2014
• Tom: Vol. 24, No. 2
• Strony: 97--122
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Sánchez-Pérez J.

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

Bibliografia

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