Stability of Equilibria in Games with Procedurally Rational Players
AbstractOne approach to the modeling of bounded rationality in strategic environments is based on the dynamics of evolution and learning in games. An entirely different approach has been developed recently by Osborne and Rubinstein (1998). This latter approach is static and equilibrium based, but relies on less stringent assumptions regarding the knowledge and understanding of players than does the standard theory of Nash equilibrium. This paper formalizes Osborne and Rubinstein's dynamic interpretation of their equilibrium concept and thereby facilitates a comparison of this approach with the explicitly dynamic approach of evolutionary game theory. It turns out that the two approaches give rise to radically different static and dynamic predictions. For instance, dynamically stable equilibria can involve the playing of strictly dominated actions, and equilibria in which strictly actions are played with probability 1 can be unstable. Sufficient conditions for the instability of equilibria are provided for symmetric and asymmetric games.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 32 (2000)
Issue (Month): 1 (July)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622836
Other versions of this item:
- Rajiv Sethi, 1998. "Stability of Equilibria in Games with Procedurally Rational Players," Game Theory and Information 9811003, EconWPA, revised 04 Mar 1999.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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.:
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993.
"Learning, Mutation, and Long Run Equilibria in Games,"
Econometric Society, vol. 61(1), pages 29-56, January.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Ellison, Glenn, 1993.
"Learning, Local Interaction, and Coordination,"
Econometric Society, vol. 61(5), pages 1047-71, September.
- Osborne, M-J & Rubinstein, A, 1997.
"Games with Procedurally Rational Players,"
4-97, Tel Aviv.
- Sethi, Rajiv, 1998. "Strategy-Specific Barriers to Learning and Nonmonotonic Selection Dynamics," Games and Economic Behavior, Elsevier, vol. 23(2), pages 284-304, May.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
- Simon, Herbert A, 1978. "Rationality as Process and as Product of Thought," American Economic Review, American Economic Association, vol. 68(2), pages 1-16, May.
- E. Dekel & S. Scotchmer, 2010.
"On the Evolution of Optimizing Behavior,"
Levine's Working Paper Archive
434, David K. Levine.
- Huck Steffen & Sarin Rajiv, 2004.
"Players With Limited Memory,"
The B.E. Journal of Theoretical Economics,
De Gruyter, vol. 4(1), pages 1-27, September.
- Steffen Huck & Rajiv Sarin, 2000. "Players with Limited Memory," Econometric Society World Congress 2000 Contributed Papers 1645, Econometric Society.
- Thorsten Chmura & Werner Güth, 2011.
"The Minority of Three-Game: An Experimental and Theoretical Analysis,"
MDPI, Open Access Journal, vol. 2(3), pages 333-354, September.
- Thorsten Chmura & Werner Güth & Thomas Pitz & Anthony Ziegelmeyer, 2010. "The Minority of Three-Game: An Experimental and Theoretical Analysis," Jena Economic Research Papers 2010-071, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
- Juan Camilo Cárdenas & César Mantilla & Rajiv Sethi, 2013. "Commons without Tragedy: Sampling Dynamics and Cooperative Resource Extraction," DOCUMENTOS CEDE 011892, UNIVERSIDAD DE LOS ANDES-CEDE.
- J. C. R. Alcantud & Carlos Alós-Ferrer, 2002. "Choice-Nash Equilibria," Vienna Economics Papers 0209, University of Vienna, Department of Economics.
- Jacek Miękisz & Michał Ramsza, 2013. "Sampling Dynamics of a Symmetric Ultimatum Game," Dynamic Games and Applications, Springer, vol. 3(3), pages 374-386, September.
- Sandholm, William H. & Tercieux, Olivier & Oyama, Daisuke, 0. "Sampling best response dynamics and deterministic equilibrium selection," Theoretical Economics, Econometric Society.
- Jörg Oechssler & Burkhard C. Schipper, 2000.
"Can You Guess the Game You're Playing?,"
Bonn Econ Discussion Papers
bgse11_2000, University of Bonn, Germany.
- Shahi, Chander & Kant, Shashi, 2007. "An evolutionary game-theoretic approach to the strategies of community members under Joint Forest Management regime," Forest Policy and Economics, Elsevier, vol. 9(7), pages 763-775, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.