Journal
SIAM REVIEW
Volume 44, Issue 3, Pages 394-414Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S00361445003756
Keywords
Lyapunov stability; asymptotic stability; standard quadratic optimization problem; Nash equilibrium; strict complementarity; genericity; evolutionary stability; neutral stability; saturated fixed point; perturbation
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In this paper, links are established between optimality conditions for quadratic optimization problems, qualitative properties in the nonlinear selection replicator dynamics, and central solution concepts of evolutionary game theory, with particular emphasis on several regularity conditions that are desirable in any of the three fields mentioned above: as strictness conditions for locally optimal solutions, as hyperbolicity conditions for fixed points, and as quasi-strictness conditions for game equilibria.
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