EconPapers    
Economics at your fingertips  
 

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

Virtue Ekhosuehi ()

Operations Research and Decisions, 2018, vol. 3, 17-27

Abstract: This paper models a penalty kicker’s problem in football. The study takes into consideration the 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 is 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) is obtained from the game-theoretic problem by reducing it to a linear programming problem and the two-phase simplex method is 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.

Keywords: linear programming; mixed strategy; penalty kick; strategic game; two-person zero-sum game. (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed

Downloads: (external link)
http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1375 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wut:journl:v:3:y:2018:p:17-27:id:1375

Access Statistics for this article

More articles in Operations Research and Decisions from Wroclaw University of Technology, Institute of Organization and Management Contact information at EDIRC.
Bibliographic data for series maintained by Piotr Wawrzynowski ().

 
Page updated 2018-12-01
Handle: RePEc:wut:journl:v:3:y:2018:p:17-27:id:1375