Do soccer players play the mixed-strategy Nash equilibrium?
AbstractMixed-strategy Nash equilibrium (MSNE) is a commonly-used solution concept in game-theoretic models in various fields in economics, management, and other disciplines, but the experimental results whether the MSNE predicts well actual play in games is mixed. Consequently, evidence for naturally-occurring games in which the MSNE predicts the outcome well is of great importance, as it can justify the vast use of MSNE in models. The game between the kicker and goalkeeper in soccer penalty kicks is a real-world game that can be used to examine the application of the MSNE concept or its accuracy because payoffs are a common knowledge, the players have huge incentives to play correctly, the game is simple enough to analyze, its Nash equilibrium is in mixed strategies, and players' actions can be observed. We collected and analyzed data on the direction of kicks and jumps in penalty kicks in various top leagues and tournaments. Our analysis suggests that the MSNE predictions are the closest to the actual sample data, even though some other prediction methods use information on the marginal distribution of kicks or jumps whereas the MSNE does not.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 20964.
Date of creation: 2009
Date of revision:
Soccer; Football; MSNE; Mixed-strategies; Mixed-strategy Nash equilibrium; Sports; Penalty kicks;
Other versions of this item:
- Ofer Azar & Michael Bar-Eli, 2011. "Do soccer players play the mixed-strategy Nash equilibrium?," Applied Economics, Taylor & Francis Journals, vol. 43(25), pages 3591-3601.
- L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Recreation; Tourism
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- D00 - Microeconomics - - General - - - General
- C93 - Mathematical and Quantitative Methods - - Design of Experiments - - - Field Experiments
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-03-06 (All new papers)
- NEP-CBE-2010-03-06 (Cognitive & Behavioural Economics)
- NEP-EXP-2010-03-06 (Experimental Economics)
- NEP-GTH-2010-03-06 (Game Theory)
- NEP-HPE-2010-03-06 (History & Philosophy of Economics)
- NEP-IND-2010-03-06 (Industrial Organization)
- NEP-SPO-2010-03-06 (Sports & Economics)
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