Evolutionary Dynamics on Infinite Strategy Spaces

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Evolutionary Dynamics on Infinite Strategy Spaces

Author Info

Joerg Oechssler (Humboldt University, Berlin)
Frank Riedel (Humboldt University)

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Abstract

The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this restriction is in most cases unnecessary. We give a mild condition under which the continuous time replicator dynamics are well defined for infinite strategy spaces. Furthermore, we provide conditions for stability of rest points. Finally, we apply this general theory to a number of applications like the Nash demand game, the War of Attrition, Cournot and Bertrand oligopoly games, and mixed strategies.

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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 9805002.

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Length: 26 pages
Date of creation: 08 May 1998
Date of revision: 12 May 1998
Handle: RePEc:wpa:wuwpga:9805002

Note: pages: 26
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Paper
- J. Oechssler & F. Riedel, . "Evolutionary Dynamics on Infinite Strategy Spaces," Sonderforschungsbereich 373 1998-68, Humboldt Universitaet Berlin.
- Oechssler, Joerg, and Frank Riedel, . "Evolutionary Dynamics on Infinite Strategy Spaces," Discussion Paper Serie A 606, University of Bonn, Germany. [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-1998-10-02 (All new papers)
NEP-EVO-1998-10-02 (Evolutionary Economics)
NEP-GTH-1998-10-02 (Game Theory)

References listed on IDEAS
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.:

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!]
Other versions:
- 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!]
- 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)
Ed Hopkins, . "Price Dispersion: An Evolutionary Approach," Discussion Papers 1996-3, Edinburgh School of Economics, University of Edinburgh.
Other versions:
- Ed Hopkins, . "Price Dispersion: An Evolutionary Approach," ESE Discussion Papers 1, Edinburgh School of Economics, University of Edinburgh.
- Ed Hopkins & Robert M. Seymour, . "Price Dispersion: an Evolutionary Approach," ELSE working papers 043, ESRC Centre on Economics Learning and Social Evolution. [Downloadable!]
- Ed Hopkins, . "Price Dispersion: An Evolutionary Approach," Department of Economics 1996 : III, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]

Full references

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!]
Dirk Bergemann & Karl Schlag, 2005. "Robust Monopoly Pricing: The Case of Regret," Economics Working Papers ECO2005/10, European University Institute. [Downloadable!]
Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2004. "What to Maximize if You Must," Discussion Papers 1414, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
Other versions:
- Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2003. "What to Maximize If You Must," Game Theory and Information 0303002, EconWPA. [Downloadable!]
- Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2002. "What to Maximize if You Must," Levine's Bibliography 506439000000000063, UCLA Department of Economics. [Downloadable!]
- Chris Shannon, 2003. "What to Maximize if You Must," Theory workshop papers 658612000000000044, UCLA Department of Economics. [Downloadable!]
- Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2002. "What to Maximize If You Must," Department of Economics, Working Paper Series 1052, Department of Economics, Institute for Business and Economic Research, UC Berkeley. [Downloadable!]
- Heifetz, Aviad & Shannon, Chris & Spiegel, Yossi, 2007. "What to maximize if you must," Journal of Economic Theory, Elsevier, vol. 133(1), pages 31-57, March. [Downloadable!] (restricted)
Aviad Heifetz & Yossi Spiegel, 2000. "On the Evolutionary Emergence of Optimism," Discussion Papers 1304, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [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!]
Aviad Heifetz & Yossef Spiegel, 2000. "On the Evolutionary Emergence of Optimism," Econometric Society World Congress 2000 Contributed Papers 1649, Econometric Society. [Downloadable!]
Heifetz, Aviad & Spiegel, Yossi, 2000. "On the Evolutionary Emergency of Optimism," Working Papers 1104, California Institute of Technology, Division of the Humanities and Social Sciences. [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!]
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)
Younghwan In, 2005. "A Fictitious-Play Model of Bargaining To Implement the Nash Solution," Departmental Working Papers wp0509, National University of Singapore, Department of Economics. [Downloadable!]
Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2005. "The Dynamic Evolution of Preferences," Discussion Papers 1415, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
Other versions:
- Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2007. "The Dynamic Evolution of Preferences," Economic Theory, Springer, vol. 32(2), pages 251-286, August. [Downloadable!] (restricted)

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