Regularity versus Degeneracy in Dynamics, Games, and Optimization: A Unified Approach to Different Aspects

Authors:
Immanuel M. Bomze
Affiliations:
-
Venue:
SIAM Review
Year:
2002

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Abstract

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.