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On the Dynamic Foundation of Evolutionary Stability in Continuous Models

Jörg Oechssler and Frank Riedel ()

Game Theory and Information from University Library of Munich, Germany

Abstract: 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.

Keywords: replicator dynamics; evolutionary stability; ESS; CSS (search for similar items in EconPapers)
JEL-codes: C70 C72 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-evo
Date: 2000-07-06
Note: Type of Document - ; pages: 26
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Related works:
Journal Article: On the Dynamic Foundation of Evolutionary Stability in Continuous Models (2002) Downloads
Working Paper: On the Dynamic Foundation of Evolutionary Stability in Continuous Models (2000) Downloads
Working Paper: On the dynamic foundation of evolutionary stability in continuous models (2000) Downloads
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