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On the Existence of Berge Equilibrium: An Order Theoretic Approach

Author

Listed:
  • Kerim Keskin

    (Department of Economics, Bilkent University, 06800 Ankara, Turkey)

  • H. Çağrı Sağlam

    (Department of Economics, Bilkent University, 06800 Ankara, Turkey)

Abstract

We propose lattice-theoretical methods to analyze the existence and the order structure of Berge equilibria (in the sense of Zhukovskii) in noncooperative games. We introduceBerge-modular games, and prove that the set of Berge equilibrium turns out to be a complete lattice.

Suggested Citation

  • Kerim Keskin & H. Çağrı Sağlam, 2015. "On the Existence of Berge Equilibrium: An Order Theoretic Approach," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 1-9.
    • Handle: RePEc:wsi:igtrxx:v:17:y:2015:i:03:n:s0219198915500073
    DOI: 10.1142/S0219198915500073
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    Cited by:

    1. Ahmad Nahhas & H. W. Corley, 2017. "A Nonlinear Programming Approach to Determine a Generalized Equilibrium for N-Person Normal Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-15, September.
    2. Bertrand Crettez, 2017. "On Sugden’s “mutually beneficial practice” and Berge equilibrium," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 64(4), pages 357-366, December.

    More about this item

    Keywords

    Berge equilibrium; Berge equilibrium in the sense of Zhukovskii; supermodularity; games with strategic complementarities; Berge-modular games; fixed point theory; C62; C72;
    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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