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Evolutionary Dynamics on Infinite Strategy Spaces Author info | Abstract | Publisher info | Download info | Related research | Statistics Joerg Oechssler (Humboldt University, Berlin)
Frank Riedel (Humboldt University)
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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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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 1998Date of revision:
12 May 1998Handle: RePEc:wpa:wuwpga:9805002Note: pages: 26Contact details of provider: Web page: http://129.3.20.41
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Keywords: replicator dynamics ; evolutionary stability ; continuous strategy spaces ; oligopoly ; Other versions of this item:
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 :
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.: Ed Hopkins, .
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Ed Hopkins, .
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"Learning to Like What You Have - Explaining the Endowment Effect ,"
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Steffen Huck & Georg Kirchsteiger & Joerg Oechssler, 1997.
"Learning to Like What You Have - Explaining the Endowment Effect ,"
Game Theory and Information
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[Downloadable!] S. Huck & G. Kirchsteiger & J. Oechssler, .
"Learning to Like What You Have -Explaining the Endowment Effect- ,"
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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.
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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 ,"
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Sonderforschungsbereich 504 Publications
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Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2004.
"What to Maximize if You Must ,"
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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
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Theory workshop papers
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"What to Maximize If You Must ,"
Department of Economics, Working Paper Series
1052, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
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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.
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Siegfried Berninghaus & Christian Korth & Stefan Napel, 2007.
"Reciprocity—an indirect evolutionary analysis ,"
Journal of Evolutionary Economics ,
Springer, vol. 17(5), pages 579-603, October.
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Other versions: 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.
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Aviad Heifetz & Yossef Spiegel, 2000.
"On the Evolutionary Emergence of Optimism ,"
Econometric Society World Congress 2000 Contributed Papers
1649, Econometric Society.
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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!] Dirk Bergemann & Karl Schlag, 2005.
"Robust Monopoly Pricing ,"
Cowles Foundation Discussion Papers
1527RR, Cowles Foundation, Yale University, revised Sep 2008.
[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.
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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!]
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