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The Marginal Operators For Games On Convex Geometries

Author

Listed:
  • J. M. BILBAO

    (Department of Applied Mathematics, University of Seville, Camino de los Descubrimientos, 41092 Sevilla, Spain)

  • N. JIMÉNEZ

    (Department of Applied Mathematics, University of Seville, Camino de los Descubrimientos, 41092 Sevilla, Spain)

  • E. LEBRÓN

    (Department of Applied Mathematics, University of Seville, Camino de los Descubrimientos, 41092 Sevilla, Spain)

  • J. J. LÓPEZ

    (Department of Applied Mathematics, University of Seville, Camino de los Descubrimientos, 41092 Sevilla, Spain)

Abstract

In this work we study situations in which communication among the players is not complete and it is represented by a family of subsets of the set of players. Although several models of partial cooperation have been proposed, we shall follow a model derived from the work of Faigle and Kern. We define the games on convex geometries and introduce marginal worth vectors and quasi-supermodular games. Furthermore, we analyze some properties of the marginal operators on the space of games on convex geometries.

Suggested Citation

  • J. M. Bilbao & N. Jiménez & E. Lebrón & J. J. López, 2006. "The Marginal Operators For Games On Convex Geometries," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 141-151.
    • Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:01:n:s0219198906000837
    DOI: 10.1142/S0219198906000837
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    Keywords

    Marginal operators; quasi-supermodular games; Subject Classification: 91A12;
    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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