On the dynamic foundation of evolutionary stability in continuous models
AbstractWe 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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Bibliographic InfoPaper provided by Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes in its series SFB 373 Discussion Papers with number 2000,73.
Date of creation: 2000
Date of revision:
replicator dynamics; evolutionary stability; ESS; CSS;
Other versions of this item:
- Oechssler, Jorg & Riedel, Frank, 2002. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Journal of Economic Theory, Elsevier, Elsevier, vol. 107(2), pages 223-252, December.
- Jörg Oechssler & Frank Riedel, 2000. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Bonn Econ Discussion Papers, University of Bonn, Germany bgse7_2000, University of Bonn, Germany.
- Joerg Oechssler & Frank Riedel, 2000. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Game Theory and Information, EconWPA 0004004, EconWPA.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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- Bester, Helmut & Guth, Werner, 1998.
"Is altruism evolutionarily stable?,"
Journal of Economic Behavior & Organization, Elsevier,
Elsevier, vol. 34(2), pages 193-209, February.
- Bester, H. & Güth, W., 1994. "Is altruism evolutionarily stable ?," Discussion Paper, Tilburg University, Center for Economic Research 1994-103, Tilburg University, Center for Economic Research.
- J. Maynard Smith, 2010. "The Theory of Games and Evolution of Animal Conflicts," Levine's Working Paper Archive 448, David K. Levine.
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