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Strategies and Evolution in the Minority Game: A Multi- Round Strategy Experiment

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  • Sonnemans, J.

    (Universiteit van Amsterdam)

  • Tuinstra, J.

    (University of Amsterdam)

  • Linde, J.

    (Universiteit van Amsterdam)

Abstract

Minority games are a stylized description of strategic situations with both coordination and competition. These games are widely studied using either simulations or laboratory experiments. Simulations can show the dynamics of aggregate behavior, but the results of such simulations depend on the type of strategies used. So far experiments provided little guidance on the type of strategies people use because the set of possible strategies is very large. We therefore use a multi-round strategy method experiment to directly elicit people’s strategies. Between rounds participants can adjust their strategy and test the performance of (possible)new strategies against strategies from the previous round. Strategies gathered in the experiment are subjected to an evolutionary competition. The strategies people use are very heterogeneous although aggregate outcomes resemble the symmetric Nash equilibrium. The strategies that survive evolutionary competition achieve much higher levels of coordination.

Suggested Citation

  • Sonnemans, J. & Tuinstra, J. & Linde, J., 2013. "Strategies and Evolution in the Minority Game: A Multi- Round Strategy Experiment," CeNDEF Working Papers 13-02, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  • Handle: RePEc:ams:ndfwpp:13-02
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    2. Daniel L. Chen & Martin Schonger, 2023. "Invariance of equilibrium to the strategy method I: theory," Post-Print hal-04550734, HAL.
    3. Jørgen Vitting Andersen & Philippe de Peretti, 2018. "New method to detect convergence in simple multi-period market games with infinite large strategy spaces," Post-Print halshs-01960900, HAL.
    4. Jørgen Vitting Andersen & Philippe de Peretti, 2017. "New method to detect convergence in simple multi-period market games," Documents de travail du Centre d'Economie de la Sorbonne 17058, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
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    6. Yamada, Takashi & Hanaki, Nobuyuki, 2016. "An experiment on Lowest Unique Integer Games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 88-102.
    7. J{o}rgen Vitting Andersen & Philippe de Peretti, 2020. "Heuristics in experiments with infinitely large strategy spaces," Papers 2005.02337, arXiv.org.
    8. Jørgen Vitting Andersen & Philippe de Peretti, 2018. "New method to detect convergence in simple multi-period market games with infinite large strategy spaces," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01960900, HAL.
    9. Linde, Jona & Gietl, Daniel & Sonnemans, Joep & Tuinstra, Jan, 2023. "The effect of quantity and quality of information in strategy tournaments," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 305-323.
    10. Jørgen Vitting Andersen & Philippe de Peretti, 2018. "New method to detect convergence in simple multi-period market games with infinite large strategy spaces," Documents de travail du Centre d'Economie de la Sorbonne 18038, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    11. Jørgen Vitting Andersen & Philippe de Peretti, 2017. "New method to detect convergence in simple multi-period market games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01673331, HAL.
    12. Andersen, Jørgen Vitting & de Peretti, Philippe, 2021. "Heuristics in experiments with infinitely large strategy spaces," Journal of Business Research, Elsevier, vol. 129(C), pages 612-620.
    13. Jørgen Vitting Andersen & Philippe de Peretti, 2020. "Heuristics in experiments with infinitely large strategy spaces," Post-Print hal-02435934, HAL.
    14. Jørgen Vitting Andersen & Philippe de Peretti, 2020. "Heuristics in experiments with infinitely large strategy spaces," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02435934, HAL.
    15. Chen, Daniel L. & Schonger, Martin, 2016. "A Theory of Experiments: Invariance of Equilibrium to the Strategy Method of Elicitation and Implications for Social Preferences," IAST Working Papers 16-54, Institute for Advanced Study in Toulouse (IAST), revised Feb 2020.
    16. Christopher K. Hsee & Ying Zeng & Xilin Li & Alex Imas, 2021. "Bounded Rationality in Strategic Decisions: Undershooting in a Resource Pool-Choice Dilemma," Management Science, INFORMS, vol. 67(10), pages 6553-6567, October.
    17. Collins, Sean M. & James, Duncan & Servátka, Maroš & Vadovič, Radovan, 2020. "Attainment of Equilibrium: Marshallian Path Adjustment and Buyer Determinism," MPRA Paper 104103, University Library of Munich, Germany.
    18. Nadir Altinok & Abdurrahman Aydemir, 2015. "The Unfolding of Gender Gap in Education," Working Papers 934, Economic Research Forum, revised Aug 2015.
    19. Jørgen Vitting Andersen & Philippe de Peretti, 2017. "New method to detect convergence in simple multi-period market games," Post-Print halshs-01673331, HAL.

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    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

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