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Balancedness Of The Class Of Infinite Permutation Games And Related Classes Of Games

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  • VITO FRAGNELLI

    ()
    (Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale, Via V.Bellini 25/G, 15100 Alessandria, Italy)

  • 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; DIMA, Università degli Studi di Genova, Italy)

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.

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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 09 (2007)
Issue (Month): 03 ()
Pages: 425-435

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Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:03:p:425-435

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Related research

Keywords: Cooperative games; infinite programs; core; 90C08; 91A12;

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