On Minty-Variational Inequalities And Evolutionary Stable States Of Generalized Monotone Games

OPERATIONS RESEARCH LETTERS(2021)

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摘要
In this note, we emphasize the role played by Minty variational inequalities in evolutionary game theory for studying neutrally and evolutionary stable states of nonlinear population games. This connection allows deriving new results on the sets of neutrally stable and evolutionary stable states for generalized monotone games as well as stability results for the replicator dynamics. (c) 2020 Elsevier B.V. All rights reserved.
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关键词
Minty variational inequality, Variational inequality, Evolutionary stable state, Replicator dynamics, Quasimonotone operator, Quasistable games
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