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Leitmann, G, (2004) “A Direct Optimization Method and its Application to a Class of Differential Games” Journal of Dynamics of Continuous and Intensive Systems, 11, 191-204.

has been cited by the following article:

Article

Pursuit and Evasion Game under Uncertainty

1Department of Actuarial Science and Insurance Faculty of Business Administration University of Lagos Akoka, Lagos


American Journal of Applied Mathematics and Statistics. 2013, Vol. 1 No. 2, 21-26
DOI: 10.12691/ajams-1-2-1
Copyright © 2013 Science and Education Publishing

Cite this paper:
Bankole Abiola, R.K. Ojikutu. Pursuit and Evasion Game under Uncertainty. American Journal of Applied Mathematics and Statistics. 2013; 1(2):21-26. doi: 10.12691/ajams-1-2-1.

Correspondence to: R.K. Ojikutu, Department of Actuarial Science and Insurance Faculty of Business Administration University of Lagos Akoka, Lagos. Email: rkojikutu@Unilag.edu.ng

Abstract

This paper examined a class of multidimensional differential games. In particular, it considered a situation in which the pursuer and evader are affected by uncertain disturbances. A necessary and sufficient condition for the existence of saddle point for this class of games was developed.

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