Qualitative Analysis of Secured Outcome Regions for Two-Target Games

Ghose, D and Prasad, UR (1991) Qualitative Analysis of Secured Outcome Regions for Two-Target Games. In: Journal of Optimization Theory and Applications, 68 (2). pp. 233-255.

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Abstract

Qualitative (game of kind) outcomes of two-target games are analyzed in this paper, under both the zero-sum and nonzero-sum preference ordering of outcomes by the players. The outcome regions of each player are defined from a security standpoint. The secured draw and mutual-kill regions of a player depend explicitly on his preference ordering of outcomes and should be constructed separately for each player, especially in a nonzero-sum game. General guidelines are presented for identifying the secured outcome regions of players in a class of two-target games that satisfy an Isaacs-like condition, in terms of the qualitative solutions of the two underlying single-target pursuit-evasion games. A construction has been proposed for obtaining the qualitative solution of a large class of two-target games. Illustrative examples are included.

Item Type:	Journal Article
Publication:	Journal of Optimization Theory and Applications
Publisher:	Springer Netherlands
Additional Information:	Copyright of this article belongs to Springer Netherlands.
Keywords:	Game theory;Differential games;Combat games;Two-target games;Games of kind;Qualitative games;Outcome regions
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering) Division of Electrical Sciences > Computer Science & Automation
Date Deposited:	07 Sep 2006
Last Modified:	19 Sep 2010 04:31
URI:	http://eprints.iisc.ac.in/id/eprint/8528

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