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A Method to Select Best Among Multi-Nash Equilibria

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Listed:
  • M. Punniyamoorthy
  • Sarin Abraham
  • Jose Joy Thoppan

Abstract

A non-zero sum bimatrix game may yield numerous Nash equilibrium solutions while solving the game. The selection of a good Nash equilibrium from among the many options poses a dilemma. In this article, three methods have been proposed to select a good Nash equilibrium. The first approach identifies the most payoff-dominant Nash equilibrium, while the second method selects the most risk-dominant Nash equilibrium. The third method combines risk dominance and payoff dominance by giving due weights to the two criteria. A sensitivity analysis is performed by changing the relative weights of criteria to check its effect on the ranks of the multiple Nash equilibria, infusing more confidence in deciding the best Nash equilibrium. JEL Codes: C7, C72, D81

Suggested Citation

  • M. Punniyamoorthy & Sarin Abraham & Jose Joy Thoppan, 2023. "A Method to Select Best Among Multi-Nash Equilibria," Studies in Microeconomics, , vol. 11(1), pages 101-127, April.
    • Handle: RePEc:sae:miceco:v:11:y:2023:i:1:p:101-127
    DOI: 10.1177/23210222211024388
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    References listed on IDEAS

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    Cited by:

    1. Parilina, Elena M. & Zaccour, Georges, 2024. "Payment schemes for sustaining cooperation in dynamic games played over event trees," European Journal of Operational Research, Elsevier, vol. 313(3), pages 1200-1216.

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    More about this item

    Keywords

    Game theory; two-person non-zero-sum game; risk dominance; payoff dominance; mixed Nash equilibrium selection;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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