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Synthesis of equilibrium

Author

Listed:
  • Zhukovskiy, Vladislav
  • Zhukovskaya, Lidia
  • Smirnova, Lidia

Abstract

For a noncooperative N-player normal-form game, we introduce the concept of hybrid equilibrium (HE) by combining the concepts of Nash and Berge equilibria and Pareto maximum. Some properties of hybrid equilibria are explored and their existence in mixed strategies is established under standard assumptions of mathematical game theory (convex and compact strategy sets and continuous payoff functions). Similar results are obtained for noncooperative N-player normal-form games under uncertainty.

Suggested Citation

  • Zhukovskiy, Vladislav & Zhukovskaya, Lidia & Smirnova, Lidia, 2023. "Synthesis of equilibrium," MPRA Paper 119397, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:119397
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    File URL: https://mpra.ub.uni-muenchen.de/119397/1/MPRA_paper_119397.pdf
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    More about this item

    Keywords

    uncertainty; mixed strategies; equilibrium; saddle point; Pareto optimality;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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