AnN-person noncooperative discounted vector-valued dynamic game with a metric space |
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Authors: | Hang-Chin Lai Kensuke Tanaka |
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Institution: | (1) Institute of Mathematics, National Tsing Hua University, Taiwan, Republic of China;(2) Department of Mathematics, Faculty of Science, Niigaga University, Japan |
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Abstract: | AnN-person noncooperative discounted vector-valued game with a metric space is investigated. We define aD-convex equilibrium point and prove that aD-convex equilibrium point exists in this game system. A modified version of the original game system is formulated so that an equilibrium point of the modified version is aD-convex equilibrium point of the original game system. Under appropriate conditions, the converse holds in the sense that aD-convex equilibrium point is also an equilibrium point of the modified game system. |
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