On linear vector program and vector matrix game equivalence |
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Authors: | Jeong Min Hong Moon Hee Kim Gue Myung Lee |
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Institution: | 1. Department of Applied Mathematics, Pukyong National University, Busan, 608-737, Korea 2. Department of Multimedia Engineering, Tongmyong University, Busan, 608-711, Korea
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Abstract: | We define a vector matrix game, which is a vector version of the usual matrix game and consists of more than two skew symmetric
matrices and vector ordering. Using vector optimization techniques, we characterize solutions for the vector matrix game.
We establish equivalent relations between a linear vector optimization problem and its corresponding vector matrix game. |
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