On the One-shot Two-person Zero-sum Game in Football from a Penalty Kicker's Perspective
A penalty kicker's problem in football has been modelled. The study took into consideration different directions in which the ball can be struck and goalkeepers' success at defending shots. The strategic form of the game that can be used to predict how the kicker should optimally randomise...
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Wrocław University of Science and Technology
2018-01-01
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| Series: | Operations Research and Decisions |
| Online Access: | http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1375 |
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doaj-ef614a3650f342668f9592d68d986ff82020-11-24T20:51:11ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602018-01-01vol. 28no. 31727171532094On the One-shot Two-person Zero-sum Game in Football from a Penalty Kicker's PerspectiveVirtue U. Ekhosuehi0University of Benin, Benin City, NigeriaA penalty kicker's problem in football has been modelled. The study took into consideration different directions in which the ball can be struck and goalkeepers' success at defending shots. The strategic form of the game that can be used to predict how the kicker should optimally randomise his strategies has been modelled as a non-linear game-theoretic problem from a professional kicker's viewpoint. The equilibrium of the game (i.e., the pair of mutually optimal mixed strategies) was obtained from the game-theoretic problem by reducing it to a linear programming problem and the two-phase simplex method was adopted to solve this problem. The optimal solution to the game indicates that the kicker never chooses to kick the ball off target, to the goalpost or to the crossbar, but rather chooses to kick the ball in the opposite direction to the one where the goalkeeper is most likely to successfully defend from past history. (original abstract)http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1375 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Virtue U. Ekhosuehi |
| spellingShingle |
Virtue U. Ekhosuehi On the One-shot Two-person Zero-sum Game in Football from a Penalty Kicker's Perspective Operations Research and Decisions |
| author_facet |
Virtue U. Ekhosuehi |
| author_sort |
Virtue U. Ekhosuehi |
| title |
On the One-shot Two-person Zero-sum Game in Football from a Penalty Kicker's Perspective |
| title_short |
On the One-shot Two-person Zero-sum Game in Football from a Penalty Kicker's Perspective |
| title_full |
On the One-shot Two-person Zero-sum Game in Football from a Penalty Kicker's Perspective |
| title_fullStr |
On the One-shot Two-person Zero-sum Game in Football from a Penalty Kicker's Perspective |
| title_full_unstemmed |
On the One-shot Two-person Zero-sum Game in Football from a Penalty Kicker's Perspective |
| title_sort |
on the one-shot two-person zero-sum game in football from a penalty kicker's perspective |
| publisher |
Wrocław University of Science and Technology |
| series |
Operations Research and Decisions |
| issn |
2081-8858 2391-6060 |
| publishDate |
2018-01-01 |
| description |
A penalty kicker's problem in football has been modelled. The study took into consideration different directions in which the ball can be struck and goalkeepers' success at defending shots. The strategic form of the game that can be used to predict how the kicker should optimally randomise his strategies has been modelled as a non-linear game-theoretic problem from a professional kicker's viewpoint. The equilibrium of the game (i.e., the pair of mutually optimal mixed strategies) was obtained from the game-theoretic problem by reducing it to a linear programming problem and the two-phase simplex method was adopted to solve this problem. The optimal solution to the game indicates that the kicker never chooses to kick the ball off target, to the goalpost or to the crossbar, but rather chooses to kick the ball in the opposite direction to the one where the goalkeeper is most likely to successfully defend from past history. (original abstract) |
| url |
http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1375 |
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