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Restrictions on the saddle-point solution in the game of teamball

Published online by Cambridge University Press:  14 July 2016

Richard Cowan ,
Philip L. H. Yu  and
Thomas S. Ferguson
Richard Cowan*
Affiliation:
University of Hong Kong
Philip L. H. Yu*
Affiliation:
University of Hong Kong
Thomas S. Ferguson*
Affiliation:
UCLA
*
∗Department of Statistics, The University of Hong Kong, Pokfulam Road, Hong Kong.
∗Department of Statistics, The University of Hong Kong, Pokfulam Road, Hong Kong.
∗∗Department of Mathematics, UCLA, 405 Hilgard Avenue, Los Angeles, California, USA.
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Abstract

Cowan (1992) has addressed the question of how a team should allocate its players to achieve the optimal balance between offence and defence. He posed a simple territorial game called ‘Teamball' and derived a saddle-point solution under conditions which are claimed to be fairly general. In this paper we find that some restrictions are indeed required, leading to an interesting analysis.

Keywords

GAME THEORYRESOURCE ALLOCATIONSADDLE POINT
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 2 , September 1996 , pp. 443 - 447
Copyright
Copyright © Applied Probability Trust 1996 

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References

Cowan, R. (1992) The allocation of offensive and defensive resources in a territorial game. J. Appl. Prob. 29, 190–195.CrossRefGoogle Scholar