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Formulation and analysis of combat problems as zero-sum bicriterion differential games

Prasad, UR and Ghose, D (1988) Formulation and analysis of combat problems as zero-sum bicriterion differential games. In: Journal of Optimization Theory and Applications, 59 (1). pp. 1-24.

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In this paper, we present a formulation and analysis of a combat game between two players as a zero-sum bicriterion differential game. Each player''s twin objectives of terminating the game on his own target set, while simultaneously avoiding his opponent''s target set, are quantified in this approach. The solution in open-loop pure strategies is sought from among the Pareto-optimal security strategies of the players. A specific preference ordering on the outcomes is used to classify initial events in the assured win, draw, and mutual kill regions for the players. The method is compared with the event-constrained differential game approach, recently proposed by others. Finally, a simple example of the turret game is solved to illustrate the use of this method.

Item Type: Journal Article
Publication: Journal of Optimization Theory and Applications
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Keywords: Combat games; differential games;bicriterion games; Pareto-optimal strategies; two-target games.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Date Deposited: 04 Mar 2008
Last Modified: 19 Sep 2010 04:43
URI: http://eprints.iisc.ac.in/id/eprint/13262

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