The Minority of Three-Game: An Experimental and Theoretical Analysis
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.
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Giulio Bottazzi & Giovanna Devetag, 2007. "Competition and coordination in experimental minority games," Journal of Evolutionary Economics, Springer, vol. 17(3), pages 241-275, June.
- Ho, Teck H. & Camerer, Colin F. & Chong, Juin-Kuan, 2007. "Self-tuning experience weighted attraction learning in games," Journal of Economic Theory, Elsevier, vol. 133(1), pages 177-198, March.
- Reinhard Selten & Thorsten Chmura, 2005.
"Stationary Concepts for Experimental 2x2 Games,"
Bonn Econ Discussion Papers
bgse33_2005, University of Bonn, Germany.
- Thorsten Chmura, 2011. "Response Modes And Coordination In A Traffic Context, An Experimental Comparison Of Chinese And German Participants," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 56(04), pages 489-501.
- Martin J. Osborne & Ariel Rubinstein, 1997.
"Games with Procedurally Rational Players,"
Department of Economics Working Papers
1997-02, McMaster University.
- John Duffy & Ed Hopkins, 2001.
"Learning, Information and Sorting in Market Entry Games: Theory and Evidence,"
ESE Discussion Papers
78, Edinburgh School of Economics, University of Edinburgh.
- Duffy, John & Hopkins, Ed, 2005. "Learning, information, and sorting in market entry games: theory and evidence," Games and Economic Behavior, Elsevier, vol. 51(1), pages 31-62, April.
- John Duffy & Ed Hopkins, 2010. "Learning, Information and Sorting in Market Entry Games: Theory and Evidence," Levine's Working Paper Archive 506439000000000355, David K. Levine.
- Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
- Cheung, Yin-Wong & Friedman, Daniel, 1997. "Individual Learning in Normal Form Games: Some Laboratory Results," Games and Economic Behavior, Elsevier, vol. 19(1), pages 46-76, April.
- Reinhard Selten & Thorsten Chmura & Sebastian J. Goerg, 2011. "Stationary Concepts for Experimental 2 X 2 Games: Reply," American Economic Review, American Economic Association, vol. 101(2), pages 1041-1044, April.
- Dennis A. V. Dittrich & Werner Güth & Martin Kocher & Paul Pezanis-Christou, "undated".
"Loss aversion and learning to bid,"
Papers on Strategic Interaction
2005-03, Max Planck Institute of Economics, Strategic Interaction Group.
- Sebastian Goerg & Reinhard Selten, 2009. "Experimental investigation of stationary concepts in cyclic duopoly games," Experimental Economics, Springer;Economic Science Association, vol. 12(3), pages 253-271, September.
- Greiner, Ben, 2004. "An Online Recruitment System for Economic Experiments," MPRA Paper 13513, University Library of Munich, Germany.
- 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.
- Rajiv Sethi, 1998.
"Stability of Equilibria in Games with Procedurally Rational Players,"
Game Theory and Information
9811003, EconWPA, revised 04 Mar 1999.
- Sethi, Rajiv, 2000. "Stability of Equilibria in Games with Procedurally Rational Players," Games and Economic Behavior, Elsevier, vol. 32(1), pages 85-104, July.
- 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 848-881, September.
- Chmura, T. & Pitz, T., 2006. "Successful strategies in repeated minority games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 477-480.
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