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The Minority Game Unpacked: Coordination and Competition in a Team-based Experiment

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  • Giovanna Devetag
  • Francesca Pancotto
  • Thomas Brenner

Abstract

In minority games, players in a group must decide at each round which of two available options to choose, knowing that only subjects who picked the minority op- tion obtain a positive reward. Previous experiments on the minority and similar congestion games have shown that players interacting repeatedly are remarkably able to coordinate eciently, despite not conforming to Nash equilibrium behavior. We conduct an experiment on a minority-of-three game in which each player is a team composed by three subjects. Each team can freely discuss its strategies in the game and decisions must be made via a majority rule. Team discussions are recorded and their content analyzed to detect evidence of strategy co-evolution among teams playing together. Our main results of team discussion analysis show no evidence sup- porting the mixed strategy Nash equilibrium solution, and support a low-rationality, backward-looking approach to model behavior in the game, more consistent with reinforcement learning models than with belief-based models. Showing level-2 ratio- nality (i.e., reasoning about others' beliefs) is positively and signicantly correlated with higher than average earnings in the game, showing that a mildly sophisticated approach pays off. In addition, teams that are more successful tend to become more egocentric over time, paying more attention to their own past successes than to the behavior of other teams. Finally, we nd evidence of mutual adaptation over time, as teams that are more strategic (i.e., they pay more attention to other teams' moves) induce competing teams to be more egocentric instead. Our results contribute to the understanding of coordination dynamics resting on heterogeneity and co-evolution of decision rules rather than on conformity to equilibrium behavior. In addition, they provide support at the decision process level to the validity of modeling behavior using low-rationality reinforcement learning models.

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Bibliographic Info

Paper provided by Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy in its series LEM Papers Series with number 2011/18.

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Date of creation: 22 Aug 2011
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Handle: RePEc:ssa:lemwps:2011/18

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Related research

Keywords: coordination; minority game; market eciency; information; self-organization; reinforcement learning s;

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References

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  1. Reinhard Selten & M. Schreckenberg & Thomas Pitz & T. Chmura & S. Kube, 2003. "Experiments and Simulations on Day-to-Day Route Choice-Behaviour," CESifo Working Paper Series 900, CESifo Group Munich.
  2. Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-31, March.
  3. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, MIT Press, vol. 119(3), pages 861-898, August.
  4. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December.
  5. Willemien Kets, 2007. "The minority game: An economics perspective," Papers 0706.4432, arXiv.org.
  6. Costa-Gomes, Miguel & Crawford, Vincent P. & Broseta, Bruno, 1998. "Cognition and Behavior in Normal-Form Games: An Experimental Study," University of California at San Diego, Economics Working Paper Series qt1vn4h7x5, Department of Economics, UC San Diego.
  7. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2004. "Regular quantal response equilibrium," Working Papers 1203, California Institute of Technology, Division of the Humanities and Social Sciences.
  8. John Duffy & Ed Hopkins, 2004. "Learning, Information and Sorting in Market Entry Games: Theory and Evidence," ESE Discussion Papers 78, Edinburgh School of Economics, University of Edinburgh.
  9. Ochs, Jack, 1990. "The Coordination Problem in Decentralized Markets: An Experiment," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 545-59, May.
  10. Selten, R. & Chmura, T. & Pitz, T. & Kube, S. & Schreckenberg, M., 2007. "Commuters route choice behaviour," Games and Economic Behavior, Elsevier, vol. 58(2), pages 394-406, February.
  11. Eyal Winter & Amnon Rapoport & Darryl A. Seale, 2000. "An experimental study of coordination and learning in iterated two-market entry games," Economic Theory, Springer, vol. 16(3), pages 661-687.
  12. Erev, Ido & Roth, Alvin E, 1998. "Predicting How People Play Games: Reinforcement Learning in Experimental Games with Unique, Mixed Strategy Equilibria," American Economic Review, American Economic Association, vol. 88(4), pages 848-81, September.
  13. Rami Zwick & Amnon Rapoport, 1999. "Tacit Coordination in a Decentralized Market Entry Game with Fixed Capacity," Experimental 9903001, EconWPA.
  14. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
  15. Willemien Kets, 2012. "Learning With Fixed Rules: The Minority Game," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 865-878, December.
  16. Thorsten Chmura & Werner Güth, 2011. "The Minority of Three-Game: An Experimental and Theoretical Analysis," Games, MDPI, Open Access Journal, vol. 2(3), pages 333-354, September.
  17. Giulio Bottazzi & Giovanna Devetag, 2007. "Competition and coordination in experimental minority games," Journal of Evolutionary Economics, Springer, vol. 17(3), pages 241-275, June.
  18. Giovanna Devetag & Massimo Warglien, 2002. "Games and Phone Numbers: Do Short Term Memory Bounds Affect Strategy Behavior?," ROCK Working Papers 018, Department of Computer and Management Sciences, University of Trento, Italy, revised 13 Jun 2008.
  19. Challet, Damien & Zhang, Yi-Cheng, 1998. "On the minority game: Analytical and numerical studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(3), pages 514-532.
  20. Erev, Ido & Rapoport, Amnon, 1998. "Coordination, "Magic," and Reinforcement Learning in a Market Entry Game," Games and Economic Behavior, Elsevier, vol. 23(2), pages 146-175, May.
  21. Kets, W. & Voorneveld, M., 2007. "Congestion, Equilibrium and Learning: The Minority Game," Discussion Paper 2007-61, Tilburg University, Center for Economic Research.
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Cited by:
  1. Jona Linde & Joep Sonnemans & Jan Tuinstra, 2013. "Strategies and Evolution in the Minority Game: A Multi- Round Strategy Experiment," Tinbergen Institute Discussion Papers 13-043/I, Tinbergen Institute.
  2. Jona Linde & Joep Sonnemans & Jan Tuinstra, 2013. "Strategies and Evolution in the Minority Game: A Multi- Round Strategy Experiment," Tinbergen Institute Discussion Papers 13-043/I, Tinbergen Institute.

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