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...

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Main Authors: Werner Güth, Thorsten Chmura
Format: Article
Language:English
Published: MDPI AG 2011-09-01
Series:Games
Subjects:
Online Access:http://www.mdpi.com/2073-4336/2/3/333/
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spelling doaj-3e9d47c8d8c64eb890759451a9359bcb2020-11-24T22:29:37ZengMDPI AGGames2073-43362011-09-012333335410.3390/g2030333The Minority of Three-Game: An Experimental and Theoretical AnalysisWerner GüthThorsten ChmuraWe 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.http://www.mdpi.com/2073-4336/2/3/333/coordinationminority gamemixed strategylearning modelsexperiments
collection DOAJ
language English
format Article
sources DOAJ
author Werner Güth
Thorsten Chmura
spellingShingle Werner Güth
Thorsten Chmura
The Minority of Three-Game: An Experimental and Theoretical Analysis
Games
coordination
minority game
mixed strategy
learning models
experiments
author_facet Werner Güth
Thorsten Chmura
author_sort Werner Güth
title The Minority of Three-Game: An Experimental and Theoretical Analysis
title_short The Minority of Three-Game: An Experimental and Theoretical Analysis
title_full The Minority of Three-Game: An Experimental and Theoretical Analysis
title_fullStr The Minority of Three-Game: An Experimental and Theoretical Analysis
title_full_unstemmed The Minority of Three-Game: An Experimental and Theoretical Analysis
title_sort minority of three-game: an experimental and theoretical analysis
publisher MDPI AG
series Games
issn 2073-4336
publishDate 2011-09-01
description 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.
topic coordination
minority game
mixed strategy
learning models
experiments
url http://www.mdpi.com/2073-4336/2/3/333/
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