On the one-shot two-person zero-sum game in football from a penalty kicker’s perspective
Journal Title: Operations Research and Decisions - Year 2018, Vol 28, Issue 3
Abstract
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.
Authors and Affiliations
Virtue U. EKHOSUEHI
Keywords
Related Articles
- EP ID EP460913
- DOI 10.5277/ord180302
- Views 25
- Downloads 0
Logic and risk as qualitative and quantitative dimensions of decision-making processes
Key problems in the field of decision-making have been considered. The authors’ aim was to in-dicate the extremely important for management role of logic and risk in relation to decisions taken under conditions of uncert...
On the right approach to selecting a quality improvement project in manufacturing industries
Continuous improvement is the core of any successful firm. Talking about manufacturing industries, there is huge potential for continuous improvement to be made in various work areas. Such improvement can be made in any...
The time to completion of a legal merger: General concepts, statistical analysis and the case of Poland
The legal process involved in domestic mergers has been considered. European Union regulations were investigated, as well as their direct transposition into Polish legislation. The process itself always consists of manag...
Innovation management in Polish enterprises
The modern enterprise operates in a turbulent, demanding and unstable environment. Technical and technological progress as well as socioeconomic development create new opportunities but, at the same time, they force ente...
Efficiency measurement using nonparametric production analysis in the presence of undesirable outputs. Application to power plants
In order to deal with undesirable products in models of performance analysis, we need to replace the assumption of free disposability by weak disposability and this assumption has been used to model undesirable products...