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- Study of the Technical and Tactical Variables Determining Set Win or Loss in Top-Level European Men's Volleyball by Rodriguez-Ruiz, David/ Quiroga, Miriam E./ Miralles, Jose A./ Sarmiento, Samuel/ de Saá, Yves and García-Manso, Juan M.
- Does Effectiveness of Skill in Complex I Predict Win in Men's Olympic Volleyball Games? by Zetou, Eleni/ Moustakidis, Athanasios/ Tsigilis, Nikolaos and Komninakidou, Andromahi
- A Starting Point for Analyzing Basketball Statistics by Kubatko, Justin/ Oliver, Dean/ Pelton, Kevin and Rosenbaum, Dan T
- The Dreaded Middle Seeds - Are They the Worst Seeds in the NCAA Basketball Tournament? by Morris, Tracy L. and Bokhari, Faryal H.
- Comparing and Forecasting Performances in Different Events of Athletics Using a Probabilistic Model by Godsey, Brian
Modeling Tactical Changes of Formation in Association Football as a Non-Zero-Sum Game
1Nippon Sport Science University
1Japan Institute of Sports Sciences
Citation Information: Journal of Quantitative Analysis in Sports. Volume 5, Issue 3, Pages –, ISSN (Online) 1559-0410, DOI: 10.2202/1559-0410.1138, July 2009
- Published Online:
In football leagues, a won match produces three points (all for the winner) whereas a drawn match produces only two (one for each team). Here, the total resource from the viewpoint of league points is not constant and the gain of the match for both teams changes depending on the result of the match. To cater for this situation, we propose a formulation for modelling tactical changes of formation in an association football match as a non-zero-sum game using game theory. In this paper, we focus on two well-known teams in the J. League and analyse their offensive and defensive strengths based on their formation, i.e., a combination of the number of each type of outfield player on the pitch. Using these estimated offensive and defensive strengths, we develop the mathematical formulation for analyzing tactical changes of these teams' formations from the viewpoint to increase their expected number of league points gained in a match, and quantitatively demonstrate not only the effect of the introduction of the league point system on the tactical change, but also the effect of cooperation between managers which could make both teams benefit in terms of the expected number of league points gained in a match.