On the dynamic foundation of evolutionary stability in continuous models

by Jörg Oechssler and Frank Riedel

We show in this paper that none of the existing static evolutionary stability concepts (ESS, CSS, uninvadability, NIS) is sufficient to guarantee dynamic stability in the weak topology with respect to standard evolutionary dynamics if the strategy space is continuous. We propose a new concept, evolutionary robustness, which is stronger than the previous concepts. Evolutionary robustness ensures dynamic stability for replicator dynamics in doubly symmetric games.

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Year of publication:	July 2000
Authors:	Oechssler, Joerg ; Riedel, Frank
Publisher:	Bonn : Bonn Graduate School of Economics, Department of Economics, University of Bonn
Subject:	replicator dynamics \| evolutionary stability \| ESS \| CSS \| Stabilität eines Gleichgewichts \| Stability of equilibrium \| Theorie \| Theory \| Evolutionäre Spieltheorie \| Evolutionary game theory

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On the dynamic foundation of evolutionary stability in continuous models. - Bonn : Graduate School of Economics, 2000. - 26 S

Persistent link: https://www.econbiz.de/10011539103