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Successful Nash Equilibrium Agent for a Three-Player Imperfect-Information Game

Author

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  • Sam Ganzfried

    (Ganzfried Research, Miami Beach, FL 33139, USA
    School of Computing and Information Sciences, Florida International University, Miami, FL 33199, USA)

  • Austin Nowak

    (School of Computing and Information Sciences, Florida International University, Miami, FL 33199, USA)

  • Joannier Pinales

    (School of Computing and Information Sciences, Florida International University, Miami, FL 33199, USA)

Abstract

Creating strong agents for games with more than two players is a major open problem in AI. Common approaches are based on approximating game-theoretic solution concepts such as Nash equilibrium, which have strong theoretical guarantees in two-player zero-sum games, but no guarantees in non-zero-sum games or in games with more than two players. We describe an agent that is able to defeat a variety of realistic opponents using an exact Nash equilibrium strategy in a three-player imperfect-information game. This shows that, despite a lack of theoretical guarantees, agents based on Nash equilibrium strategies can be successful in multiplayer games after all.

Suggested Citation

  • Sam Ganzfried & Austin Nowak & Joannier Pinales, 2018. "Successful Nash Equilibrium Agent for a Three-Player Imperfect-Information Game," Games, MDPI, vol. 9(2), pages 1-8, June.
    • Handle: RePEc:gam:jgames:v:9:y:2018:i:2:p:33-:d:151337
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    References listed on IDEAS

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    1. Govindan, Srihari & Wilson, Robert, 2003. "A global Newton method to compute Nash equilibria," Journal of Economic Theory, Elsevier, vol. 110(1), pages 65-86, May.
    2. Porter, Ryan & Nudelman, Eugene & Shoham, Yoav, 2008. "Simple search methods for finding a Nash equilibrium," Games and Economic Behavior, Elsevier, vol. 63(2), pages 642-662, July.
    3. Koller, Daphne & Megiddo, Nimrod, 1992. "The complexity of two-person zero-sum games in extensive form," Games and Economic Behavior, Elsevier, vol. 4(4), pages 528-552, October.
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    Cited by:

    1. Sam Ganzfried, 2020. "Fast Complete Algorithm for Multiplayer Nash Equilibrium," Papers 2002.04734, arXiv.org, revised Jan 2023.

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