Paréto equilibria in multicriteria metagames |
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Authors: | S Wang Z Li |
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Institution: | (1) Institute of Systems Science, Chinese Academy of Sciences, 100080 Beijing, China;(2) Department of Mathematics, University of Inner Mongolia, 010021 Hohhot, China |
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Abstract: | Summary In this paper we study the existence of Paréto equilibria of a multicriteria metagame. A theorem on existence of a Paréto
equilibrium and a theorem on existence of a Nash equilibrium with weights are presented, which improve and extend some known
results in the theory of games with multiple payoffs. Also relations between a Paréto equilibrium and other solution concepts
of an optimization problem with multiple criteria are discussed.
Partially supported by NSFC, NSFIMTF and MADIS. The authors are grateful to the referee's valuable comments and suggestions. |
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Keywords: | Multicriteria Metagames Pareto Equilibria Generalized Convexity |
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