The Minority of Three-Game: An Experimental and Theoretical Analysis
AbstractWe report experimental and theoretical results on the minority of three-game where three players have to choose one of two alternatives independently 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. We show that such a straightforward behavior is predicted by Harsanyi and Selten's (1988) equilibrium selection theory as well as alternative solution concepts like impulse balance equilibrium and sampling equilibrium. Our results indicate that participants rely on various decision rules, and that only a quarter of them decide according to the toss of a fair coin. Reinforcement learning is the most successful decision rule as it describes best the behavior of about a third of our participants.
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Bibliographic InfoPaper provided by Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics in its series Jena Economic Research Papers with number 2010-071.
Date of creation: 19 Oct 2010
Date of revision:
Coordination; Minority game; Mixed strategy; Learning models; Experiments;
Other versions of this item:
- 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.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-10-30 (All new papers)
- NEP-CBE-2010-10-30 (Cognitive & Behavioural Economics)
- NEP-EVO-2010-10-30 (Evolutionary Economics)
- NEP-EXP-2010-10-30 (Experimental Economics)
- NEP-GTH-2010-10-30 (Game Theory)
- NEP-HPE-2010-10-30 (History & Philosophy of Economics)
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