On the Dynamic Foundation of Evolutionary Stability in Continuous Models

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On the Dynamic Foundation of Evolutionary Stability in Continuous Models

Author Info

Jörg Oechssler
Frank Riedel

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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.

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Publisher Info
Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse7_2000.

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Date of creation: Jul 2000
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Handle: RePEc:bon:bonedp:bgse7_2000

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
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Web page: http://www.bgse.uni-bonn.de/index.php?id=494

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Article
- Oechssler, Jorg & Riedel, Frank, 2002. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Journal of Economic Theory, Elsevier, vol. 107(2), pages 223-252, December. [Downloadable!] (restricted)
Paper
- J. Oechssler & F. Riedel, . "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Sonderforschungsbereich 373 2000-73, Humboldt Universitaet Berlin.
- Joerg Oechssler & Frank Riedel, 2000. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Game Theory and Information 0004004, EconWPA. [Downloadable!]

Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

This paper has been announced in the following NEP Reports:

NEP-ALL-2000-08-26 (All new papers)
NEP-EVO-2000-08-26 (Evolutionary Economics)

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

Josef Hofbauer & Jörg Oechssler & Frank Riedel, 2005. "Brown-von Neumann-Nash Dynamics: The Continuous Strategy Case," Bonn Econ Discussion Papers bgse38_2005, University of Bonn, Germany. [Downloadable!]
Other versions:
- Josef Hofbauer & Joerg Oechssler & Frank Riedel, 2005. "Brown-von Neumann-Nash Dynamics: The Continuous Strategy Case," Game Theory and Information 0512003, EconWPA. [Downloadable!]
- Josef Hofbauer & Jörg Oechssler, 2005. "Brown-von Neumann-Nash Dynamics: The Continuous Strategy Case," Working Papers 0424, University of Heidelberg, Department of Economics, revised Dec 2005. [Downloadable!]
- Hofbauer, Josef & Oechssler, Jörg & Riedel, Frank, 2005. "Brown-von Neumann-Nash Dynamics: The Continuous Strategy Case," Sonderforschungsbereich 504 Publications 05-41, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
Thomas Norman, 2004. "Dynamically Stable Preferences," Economics Series Working Papers 207, University of Oxford, Department of Economics. [Downloadable!]
Berninghaus, Siegfried K. & Korth, Christian & Napel, Stefan, 2003. "Reciprocity - an indirect evolutionary analysis," Sonderforschungsbereich 504 Publications 03-32, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
Other versions:
- Siegfried Berninghaus & Christian Korth & Stefan Napel, 2007. "Reciprocity—an indirect evolutionary analysis," Journal of Evolutionary Economics, Springer, vol. 17(5), pages 579-603, October. [Downloadable!] (restricted)
Steffen Huck & Georg Kirchsteiger & Jörg Oechssler, 2003. "Learning to Like What You Have - Explaining the Endowment Effect," Bonn Econ Discussion Papers bgse5_2003, University of Bonn, Germany. [Downloadable!]
Other versions:
- Steffen Huck & Georg Kirchsteiger & Joerg Oechssler, 1997. "Learning to Like What You Have - Explaining the Endowment Effect," Game Theory and Information 9702001, EconWPA, revised 15 May 1997. [Downloadable!]
- S. Huck & G. Kirchsteiger & J. Oechssler, . "Learning to Like What You Have -Explaining the Endowment Effect-," Sonderforschungsbereich 373 1997-38, Humboldt Universitaet Berlin.
- Steffen Huck & Georg Kirchsteiger & Jörg Oechssler, 2005. "Learning to like what you have - explaining the endowment effect," Economic Journal, Royal Economic Society, vol. 115(505), pages 689-702, 07. [Downloadable!] (restricted)
Daniel Friedman & Nirvikar Singh, 2004. "Vengefulness Evolves in Small Groups," Santa Cruz Department of Economics, Working Paper Series 1017, Department of Economics, UC Santa Cruz. [Downloadable!]
Other versions:
- Daniel Friedman & Nirvikar Singh, 2004. "Vengefulness Evolves in Small Groups," Game Theory and Information 0412005, EconWPA. [Downloadable!]
Dirk Bergemann & Karl Schlag, 2005. "Robust Monopoly Pricing: The Case of Regret," Economics Working Papers ECO2005/10, European University Institute. [Downloadable!]
Ross Cressman & Josef Hofbauer & Frank Riedel, 2005. "Stability of the Replicator Equation for a Single-Species with a Multi-Dimensional Continuous Trait Space," Bonn Econ Discussion Papers bgse12_2005, University of Bonn, Germany. [Downloadable!]
Torstensson, Pär, 2005. "Evolutionary Dynamics and a Refinement of the Neutral Stability Criterion," Working Papers 2005:37, Lund University, Department of Economics. [Downloadable!]
Dirk Bergemann & Karl Schlag, 2007. "Robust Monopoly Pricing," Levine's Bibliography 321307000000000983, UCLA Department of Economics. [Downloadable!]
Other versions:
- Dirk Bergemann & Karl Schlag, 2005. "Robust Monopoly Pricing," Cowles Foundation Discussion Papers 1527R, Cowles Foundation, Yale University, revised Apr 2007. [Downloadable!]
- Dirk Bergemann & Karl Schlag, 2005. "Robust Monopoly Pricing," Cowles Foundation Discussion Papers 1527RR, Cowles Foundation, Yale University, revised Sep 2008. [Downloadable!]

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