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Enumeration of Nash equilibria for two-player games

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  • David Avis
  • Gabriel Rosenberg
  • Rahul Savani
  • Bernhard Stengel

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  • David Avis & Gabriel Rosenberg & Rahul Savani & Bernhard Stengel, 2010. "Enumeration of Nash equilibria for two-player games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 9-37, January.
    • Handle: RePEc:spr:joecth:v:42:y:2010:i:1:p:9-37
    DOI: 10.1007/s00199-009-0449-x
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    References listed on IDEAS

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    1. Gilboa, Itzhak & Zemel, Eitan, 1989. "Nash and correlated equilibria: Some complexity considerations," Games and Economic Behavior, Elsevier, vol. 1(1), pages 80-93, March.
    2. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    3. Todd R. Kaplan & John Dickhaut, "undated". "A Program for Finding Nash Equilibria," Working papers _004, University of Minnesota, Department of Economics.
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    Citations

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    Cited by:

    1. Rahul Savani & Bernhard Stengel, 2015. "Game Theory Explorer: software for the applied game theorist," Computational Management Science, Springer, vol. 12(1), pages 5-33, January.
    2. Huppmann, Daniel & Siddiqui, Sauleh, 2018. "An exact solution method for binary equilibrium problems with compensation and the power market uplift problem," European Journal of Operational Research, Elsevier, vol. 266(2), pages 622-638.
    3. Cheng Guo & Merve Bodur & Joshua A. Taylor, 2021. "Copositive Duality for Discrete Markets and Games," Papers 2101.05379, arXiv.org, revised Jan 2021.
    4. Bernhard Stengel, 2010. "Computation of Nash equilibria in finite games: introduction to the symposium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 1-7, January.
    5. Jacob, Jonathan & Buer, Tobias, 2016. "Impact of Non-truthful Bidding on Transport Coalition Profits," Bremen Computational Logistics Group Working Papers 3, University of Bremen, Computational Logistics Junior Research Group.
    6. Schlag, Karl H. & Vida, Péter, 2013. "Commitments, Intentions, Truth and Nash Equilibria," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 438, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    7. Gabriele Dragotto & Rosario Scatamacchia, 2023. "The Zero Regrets Algorithm: Optimizing over Pure Nash Equilibria via Integer Programming," INFORMS Journal on Computing, INFORMS, vol. 35(5), pages 1143-1160, September.
    8. Jianzhe Zhen & Ahmadreza Marandi & Danique de Moor & Dick den Hertog & Lieven Vandenberghe, 2022. "Disjoint Bilinear Optimization: A Two-Stage Robust Optimization Perspective," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2410-2427, September.
    9. Amir Ali Ahmadi & Jeffrey Zhang, 2021. "Semidefinite Programming and Nash Equilibria in Bimatrix Games," INFORMS Journal on Computing, INFORMS, vol. 33(2), pages 607-628, May.
    10. Hadi Charkhgard & Martin Savelsbergh & Masoud Talebian, 2018. "Nondominated Nash points: application of biobjective mixed integer programming," 4OR, Springer, vol. 16(2), pages 151-171, June.
    11. Daniel Read, 2020. "The five games of Mr Edgar Allan Poe: A study of strategic thought in ‘The Purloined Letter’," Rationality and Society, , vol. 32(4), pages 369-401, November.
    12. P. Herings & Ronald Peeters, 2010. "Homotopy methods to compute equilibria in game theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 119-156, January.
    13. Lehrer, Ehud & Solan, Eilon & Viossat, Yannick, 2011. "Equilibrium payoffs of finite games," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 48-53, January.
    14. Bharat Adsul & Jugal Garg & Ruta Mehta & Milind Sohoni & Bernhard von Stengel, 2021. "Fast Algorithms for Rank-1 Bimatrix Games," Operations Research, INFORMS, vol. 69(2), pages 613-631, March.
    15. Wang Zhijian, 2023. "Nash equilibrium selection by eigenvalue control," Papers 2302.09131, arXiv.org.
    16. Jingjing Ding & Chenpeng Feng & Gongbing Bi & Liang Liang & M. Khan, 2015. "Cone ratio models with shared resources and nontransparent allocation parameters in network DEA," Journal of Productivity Analysis, Springer, vol. 44(2), pages 137-155, October.

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    More about this item

    Keywords

    Bimatrix game; Nash equilibrium; Linear programming; Complementarity; C72;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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