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Solution concepts in two-person multicriteria games

Ghose, D and Prasad, UR (1989) Solution concepts in two-person multicriteria games. In: Journal of Optimization Theory and Applications, 63 (2). pp. 167-189.

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In this paper, we propose new solution concepts for multicriteria games and compare them with existing ones. The general setting is that of two-person finite games in normal form (matrix games) with pure and mixed strategy sets for the players. The notions of efficiency (Pareto optimality), security levels, and response strategies have all been used in defining solutions ranging from equilibrium points to Pareto saddle points. Methods for obtaining strategies that yield Pareto security levels to the players or Pareto saddle points to the game, when they exist, are presented. Finally, we study games with more than two qualitative outcomes such as combat games. Using the notion of guaranteed outcomes, we obtain saddle-point solutions in mixed strategies for a number of cases. Examples illustrating the concepts, methods, and solutions are included.

Item Type: Journal Article
Publication: Journal of Optimization Theory and Applications
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Keywords: Game theory;vector;valued optimization;multicriteria; games;combat games;Pareto optimality;equilibrium points;security levels;saddle points.
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Division of Electrical Sciences > Computer Science & Automation
Date Deposited: 16 Jul 2010 10:51
Last Modified: 19 Sep 2010 06:11
URI: http://eprints.iisc.ac.in/id/eprint/30329

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