Solving Maxmin Optimization Problems via Population Games

Maxmin or minmax optimization problems arise in many applications. There is a classical connection between these problems and zero-sum games. This paper shows that, under certain conditions, maxmin solutions also arise from Nash equilibria of population games as studied in evolutionary game theory. Consequently, evolutionary dynamics that have been designed to find Nash equilibria in population games can be used to solve maxmin problems. We illustrate this approach with applications in collective investment and in decision making under model uncertainty

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Year of publication:	2022
Authors:	Balter, Anne G. ; Schumacher, Johannes M. ; Schweizer, Nikolaus
Publisher:	[S.l.] : SSRN
Subject:	Mathematische Optimierung \| Mathematical programming \| Spieltheorie \| Game theory

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