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Bicriterion differential games with qualitative outcomes

Prasad, UR and Ghose, Debasish (1991) Bicriterion differential games with qualitative outcomes. In: Journal of Optimization Theory and Applications, 69 (2). pp. 325-341.

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Abstract

Combat games are studied as bicriterion differential games with qualitative outcomes determined by threshold values on the criterion functions. Survival and capture strategies of the players are defined using the notion of security levels. Closest approach survival strategies (CASS) and minimum risk capture strategies (MRCS) are important strategies for the players identified as solutions to four optimization problems involving security levels. These are used, in combination with the preference orderings of the qualitative outcomes by the players, to delineate the win regions and the secured draw and mutual kill regions for the players. It is shown that the secured draw regions and the secured mutual kill regions for the two players are not necessarily the same. Simple illustrative examples are given.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Springer.
Keywords: Game theory,differential games,bicriterion games,combat games,Pareto optimality,security levels,outcome regions, two-target games,multicriterion games,games with vector payoffs.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation (Formerly, School of Automation)
Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 11 Nov 2010 06:52
Last Modified: 11 Nov 2010 06:52
URI: http://eprints.iisc.ernet.in/id/eprint/33690

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