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Factors in Learning Dynamics Influencing Relative Strengths of Strategies in Poker Simulation

Author

Listed:
  • Aaron Foote

    (Hazel Quantitative Analysis Center, Wesleyan University, Middletown, NJ 06459, USA)

  • Maryam Gooyabadi

    (Hazel Quantitative Analysis Center, Wesleyan University, Middletown, NJ 06459, USA)

  • Nikhil Addleman

    (Independent Researcher, Middletown, CT 06457, USA)

Abstract

Poker is a game of skill, much like chess or go, but distinct as an incomplete information game. Substantial work has been done to understand human play in poker, as well as the optimal strategies in poker. Evolutionary game theory provides another avenue to study poker by considering overarching strategies, namely rational and random play. In this work, a population of poker playing agents is instantiated to play the preflop portion of Texas Hold’em poker, with learning and strategy revision occurring over the course of the simulation. This paper aims to investigate the influence of learning dynamics on dominant strategies in poker, an area that has yet to be investigated. Our findings show that rational play emerges as the dominant strategy when loss aversion is included in the learning model, not when winning and magnitude of win are of the only considerations. The implications of our findings extend to the modeling of sub-optimal human poker play and the development of optimal poker agents.

Suggested Citation

  • Aaron Foote & Maryam Gooyabadi & Nikhil Addleman, 2023. "Factors in Learning Dynamics Influencing Relative Strengths of Strategies in Poker Simulation," Games, MDPI, vol. 14(6), pages 1-16, November.
  • Handle: RePEc:gam:jgames:v:14:y:2023:i:6:p:73-:d:1290608
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    References listed on IDEAS

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    1. Sarin, Rajiv & Vahid, Farshid, 2001. "Predicting How People Play Games: A Simple Dynamic Model of Choice," Games and Economic Behavior, Elsevier, vol. 34(1), pages 104-122, January.
    2. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    3. Robert J. Leonard, 1995. "From Parlor Games to Social Science: Von Neumann, Morgenstern, and the Creation of Game Theory, 1928-1994," Journal of Economic Literature, American Economic Association, vol. 33(2), pages 730-761, June.
    4. Roth, Alvin E. & Erev, Ido, 1995. "Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term," Games and Economic Behavior, Elsevier, vol. 8(1), pages 164-212.
    5. Arthur, W Brian, 1991. "Designing Economic Agents that Act Like Human Agents: A Behavioral Approach to Bounded Rationality," American Economic Review, American Economic Association, vol. 81(2), pages 353-359, May.
    6. Rapoport, Amnon & Erev, Ido & Abraham, Elizabeth V. & Olson, David E., 1997. "Randomization and Adaptive Learning in a Simplified Poker Game," Organizational Behavior and Human Decision Processes, Elsevier, vol. 69(1), pages 31-49, January.
    7. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
    8. Laurent Keller & Kenneth G. Ross, 1998. "Selfish genes: a green beard in the red fire ant," Nature, Nature, vol. 394(6693), pages 573-575, August.
    9. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
    10. Weber, Roberto A., 2003. "'Learning' with no feedback in a competitive guessing game," Games and Economic Behavior, Elsevier, vol. 44(1), pages 134-144, July.
    11. Sarin, Rajiv & Vahid, Farshid, 1999. "Payoff Assessments without Probabilities: A Simple Dynamic Model of Choice," Games and Economic Behavior, Elsevier, vol. 28(2), pages 294-309, August.
    12. Marco Alberto Javarone, 2016. "Modeling Poker Challenges by Evolutionary Game Theory," Games, MDPI, vol. 7(4), pages 1-10, December.
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