Hirotsu, N and Wright, M B (2005) Modelling tactical changes of formation in association football as a zero-sum game. Working Paper. The Department of Management Science, Lancaster University.
Full text not available from this repository.Abstract
This paper proposes a game theoretic approach to modelling tactical changes of formation in an association football match. We use a Poisson regression model to evaluate the offensive and defensive strengths of the formations of teams for scoring or conceding a goal by means of the maximum likelihood method. We then develop a mathematical formulation to express quantitatively the tactical changes of formation as a zero-sum game by taking account of both teams’ decisions. We demonstrate how the managers’ decisions affect the probability of winning the match using real data of the J League, by showing the four cases of the quality of both managers’ decisions, depending on whether they each use their best or worst strategies.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Subjects: | UNSPECIFIED |
| Departments: | Lancaster University Management School > Management Science |
| ID Code: | 48797 |
| Deposited By: | ep_importer_pure |
| Deposited On: | 11 Jul 2011 22:13 |
| Refereed?: | No |
| Published?: | Published |
| Last Modified: | 27 Jul 2012 01:15 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/48797 |
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