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The Minority of Three-Game: An Experimental and Theoretical Analysis

Author

Listed:
  • Thorsten Chmura

    () (Department of Economics, University of Munich, Ludwigstrasse 59, Munich 80539, Germany)

  • Werner Güth

    () (Strategic Interaction Group, Max Planck Institute of Economics, Kahlaische Str. 10, Jena 07745, Germany)

Abstract

We report experimental results on the minority of three-game, where three players choose one of two alternatives and the most rewarding alternative is the one chosen by a single player. This coordination game has many asymmetric equilibria in pure strategies that are non-strict and payoff-asymmetric and a unique symmetric mixed strategy equilibrium in which each player’s behavior is based on the toss of a fair coin. This straightforward behavior is predicted by equilibrium selection, impulse-balance equilibrium, and payoff-sampling equilibrium. Experimental participants rely on various decision rules, and only a quarter of them perfectly randomize.

Suggested Citation

  • Thorsten Chmura & Werner Güth, 2011. "The Minority of Three-Game: An Experimental and Theoretical Analysis," Games, MDPI, Open Access Journal, vol. 2(3), pages 1-22, September.
  • Handle: RePEc:gam:jgames:v:2:y:2011:i:3:p:333-354:d:13920
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Giovanna Devetag & Francesca Pancotto & Thomas Brenner, 2011. "The Minority Game Unpacked: Coordination and Competition in a Team-based Experiment," LEM Papers Series 2011/18, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    2. Takashi Yamada & Nobuyuki Hanaki, 2016. "An Experiment on Lowest Unique Integer Games," Post-Print halshs-01204814, HAL.
    3. Giovanna Devetag & Francesca Pancotto & Thomas Brenner, 2014. "The minority game unpacked:," Journal of Evolutionary Economics, Springer, vol. 24(4), pages 761-797, September.
    4. 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.
    5. Linde, Jona & Sonnemans, Joep & Tuinstra, Jan, 2014. "Strategies and evolution in the minority game: A multi-round strategy experiment," Games and Economic Behavior, Elsevier, vol. 86(C), pages 77-95.
    6. Rapoport, Amnon & Gisches, Eyran J. & Daniel, Terry & Lindsey, Robin, 2014. "Pre-trip information and route-choice decisions with stochastic travel conditions: Experiment," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 154-172.

    More about this item

    Keywords

    coordination; minority game; mixed strategy; learning models; experiments;

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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