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A Note On The Monotonic Core

Author

Listed:
  • JESÚS GETÁN

    (Department of Actuarial, Financial and Economic Mathematics, University of Barcelona, Avd. Diagonal, 690; E-08034 Barcelona, Spain)

  • JESÚS MONTES

    (Department of Economics and Social Sciences, University Abat Oliba CEU, Bellesguard, 30; E-08022 Barcelona, Spain)

  • CARLES RAFELS

    (Department of Actuarial, Financial and Economic Mathematics, University of Barcelona, Avd. Diagonal, 690; E-08034 Barcelona, Spain)

Abstract

The monotonic core of a cooperative game with transferable utility is the set formed by all its Population Monotonic Allocation Schemes. In this paper we show that this set always coincides with the core of a certain game, with and without restricted cooperation, associated to the initial game.

Suggested Citation

  • Jesús Getán & Jesús Montes & Carles Rafels, 2009. "A Note On The Monotonic Core," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 229-235.
    • Handle: RePEc:wsi:igtrxx:v:11:y:2009:i:02:n:s0219198909002285
    DOI: 10.1142/S0219198909002285
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    More about this item

    Keywords

    Population Monotonic Allocation Schemes; monotonic core; games with restricted cooperation; 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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