On the one-shot two-person zero-sum game in football from a penalty kicker’s perspective

• Autorzy: Ekhosuehi V.

Identyfikatory

DOI

10.5277/ord180302

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

linear programming; mixed strategy; penalty; kick; strategic game; two-person zero-sum game

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2018
• Tom: Vol. 28, No. 3
• Strony: 17--27
• Opis fizyczny: Bibliogr. 16 poz., tab.

Twórcy

autor

Ekhosuehi V.

• Department of Mathematics, University of Benin, P.M.B. 1154, Benin City, Edo State, Nigeria

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).