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The Assignment Game : The Reduced Game

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  • Guillermo OWEN
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    Abstract

    Let v be an assignment game. For a given reference payoff vector (x; y), and a coalition S, bargaining within the coalition can be represented by either the reduced game or the derived game. It is known that the reduced game need not be an assignment game (in fact, it need not be super additive) while the derived game is another assignment game, with modified reservation prices. We prove that, when the reference vector is in the core of the game, the derived game is the super additive cover of the reduced game.

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    File URL: http://www.jstor.org/stable/20075857
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    Bibliographic Info

    Article provided by ENSAE in its journal Annals of Economics and Statistics.

    Volume (Year): (1992)
    Issue (Month): 25-26 ()
    Pages: 71-79

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    Handle: RePEc:adr:anecst:y:1992:i:25-26:p:03

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    Cited by:
    1. Farooq, Bilal & Miller, Eric J., 2012. "Towards integrated land use and transportation: A dynamic disequilibrium based microsimulation framework for built space markets," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(7), pages 1030-1053.
    2. Francesc Llerena (Universitat Rovira i Virgili - CREIP) & Marina Nunez (Universitat de Barcelona) & Carles Rafels (Universitat de Barcelona), 2012. "An axiomatization of the nucleolus of the assignment game," Working Papers in Economics 286, Universitat de Barcelona. Espai de Recerca en Economia.
    3. Gerichhausen, Marloes & Hamers, Herbert, 2009. "Partitioning sequencing situations and games," European Journal of Operational Research, Elsevier, vol. 196(1), pages 207-216, July.

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