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Share Opportunity Sets And Cooperative Games

Author

Listed:
  • ELISA CAPRARI

    (Dipartimento di Ricerche Aziendali, Università di Pavia, Via S. Felice 5, 27100, Pavia, Italy)

  • FIORAVANTE PATRONE

    (Dipartimento di Ingegneria della Produzione, Termoenergetica e Modelli Matematici, Università di Genova, p.le Kennedy Pad. D, 16129 Genova, Italy)

  • LUCIA PUSILLO

    (Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146, Genova, Italy)

  • STEF TIJS

    (Center and Department of Econometrics and Operations Research Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands;
    Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146, Genova, Italy)

  • ANNA TORRE

    (Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100, Pavia, Italy)

Abstract

In many share problems there is ana priorigiven a natural set of possible divisions to solve the sharing problem. Cooperative games related to such share sets are introduced, which may be helpful in solving share problems. Relations between properties of share sets and properties of games are investigated. The average lexicographic value for share sets and for cooperative games is studied.

Suggested Citation

  • Elisa Caprari & Fioravante Patrone & Lucia Pusillo & Stef Tijs & Anna Torre, 2008. "Share Opportunity Sets And Cooperative Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 205-218.
    • Handle: RePEc:wsi:igtrxx:v:10:y:2008:i:02:n:s0219198908001881
    DOI: 10.1142/S0219198908001881
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    References listed on IDEAS

    as
    1. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Discussion Paper 2005-123, Tilburg University, Center for Economic Research.
    2. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Other publications TiSEM 0b4f9565-59f7-477f-b8f8-9, Tilburg University, School of Economics and Management.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Cooperative games; bankruptcy games; average lexicographic value; opportunity sets; C71;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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