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The allocation of offensive and defensive resources in a territorial game

Published online by Cambridge University Press:  14 July 2016

Richard Cowan
Richard Cowan*
Affiliation:
University of Hong Kong
*
∗ Postal address: Department of Statistics, University of Hong Kong, Pokfulam Road, Hong Kong.
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Abstract

How should a team allocate its players to achieve the optimal balance between offence and defence? By posing a simple territorial game between two teams, insight into this question is gained. The saddlepoint solution to the game is derived.

Keywords

GAME THEORYFOOTBALLRESOURCE ALLOCATIONSADDLEPOINTMAXIMINRANDOM WALK
Type
Short Communications
Information
Journal of Applied Probability , Volume 29 , Issue 1 , March 1992 , pp. 190 - 195
Copyright
Copyright © Applied Probability Trust 1992 

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References

Feller, W. (1968) An Introduction to Probability Theory and Its Applications, 3rd edn. Wiley, New York.Google Scholar