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On a Multi-valued Two-person Game (Nonlinear Analysis and Convex Analysis)

健志 木村, 樋口, 政和, 環 田中

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Abstract

In this paper, we introduce a multi-criteria and multi-valued game, which is formulated by utilizing two kinds of concepts of direct set-comparison between two sets.For the multi-criteria and multi- valued game, we define an optimal response strategy based on the two set comparisons.Also we define minimax and maximin value and strategies for the multi-criteria and multi-valued game.

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In this paper, we introduce a multi-criteria and multi-valued game, which is formulated by utilizing two kinds of concepts of direct set-comparison between two sets.For the multi-criteria and multi- valued game, we define an optimal response strategy based on the two set comparisons.Also we define minimax and maximin value and strategies for the multi-criteria and multi-valued game.

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Available abstract

In this paper, we introduce a multi-criteria and multi-valued game, which is formulated by utilizing two kinds of concepts of direct set-comparison between two sets.For the multi-criteria and multi- valued game, we define an optimal response strategy based on the two set comparisons.Also we define minimax and maximin value and strategies for the multi-criteria and multi-valued game.

Key concepts: Mathematics, Convex analysis, Mathematical economics, Regular polygon, Computer science, Convex optimization, Geometry

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