BALANCEDNESS OF THE CLASS OF INFINITE PERMUTATION GAMES AND RELATED CLASSES OF GAMES

Vito Fragnelli (), Natividad Llorca () and Stef Tijs ()
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Natividad Llorca: CIO and Departamento de Estadística y Matemática Aplicada, Universidad Miguel Hernández de Elche, Avda. de la Universidad s/n, Edificio Torretamarit, 03202 Elche, Spain
Stef Tijs: CentER and Department of Econometrics and OR, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands;

International Game Theory Review (IGTR), 2007, vol. 09, issue 03, 425-435

Abstract: Recently it is proved that all infinite assignment games have a non-empty core. Using this fact, and a technique suggested by L. S. Shapley for finite permutation games, we prove similar results for infinite permutation games. Infinite transportation games can be interpreted as a generalization of infinite assignment games. We show that infinite transportation games are balanced via a related assignment game. By using certain core elements of infinite transportation games it can be shown that infinite pooling games have a non-empty core.

Keywords: Cooperative games; infinite programs; core; 90C08; 91A12 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219198907001503

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