On the dynamic foundation of evolutionary stability in continuous models

Jörg Oechssler; 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. -- replicator dynamics ; evolutionary stability ; ESS ; CSS

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Year of publication:	2000
Authors:	Oechssler, Joerg ; Riedel, Frank
Institutions:	Sonderforschungsbereich Quantifikation und Simulation Ökonomischer Prozesse (contributor)
Publisher:	Berlin : Humboldt-Universität
Subject:	Evolutionäre Spieltheorie \| Evolutionary game theory \| Stabilität eines Gleichgewichts \| Stability of equilibrium