Large deviations and equilibrium selection in large populations
AbstractThis paper uses the theory of large deviations to analyse equilibrium selection in one-dimensional games with large populations where the system evolves according to a jump Markov process. The equilibria selected maximise a quasi-potential function which can be determined by solving a polynomial equation. Estimates of waiting times are also given. It shows that equilibria about which there is more noise are less likely to be selected and clarifies the role of the limiting deterministic dynamic in selection.
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.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 132 (2007)
Issue (Month): 1 (January)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622869
Other versions of this item:
- Alan Beggs, 2002. "Large Deviations and Equilibrium Selection in Large Populations," Economics Series Working Papers 129, University of Oxford, Department of Economics.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary 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.:
- Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June.
- Bergin, James & Lipman, Barton L, 1996.
"Evolution with State-Dependent Mutations,"
Econometric Society, vol. 64(4), pages 943-56, July.
- J Bergin & B L Lipman, 1997. "Evolution with state-dependent Mutations," Levine's Working Paper Archive 771, David K. Levine.
- BERGIN, James & LIPMAN, Bart, 1994. "Evolution with State-Dependent Mutations," CORE Discussion Papers 1994055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
- D. Fudenberg & C. Harris, 2010.
"Evolutionary Dynamics with Aggregate Shocks,"
Levine's Working Paper Archive
496, David K. Levine.
- D. Foster & P. Young, 2010. "Stochastic Evolutionary Game Dynamics," Levine's Working Paper Archive 493, David K. Levine.
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
- Alan Beggs, 2005.
"Waiting times and equilibrium selection,"
Springer, vol. 25(3), pages 599-628, 04.
- Alan Beggs, 2002.
"Stochastic evolution with slow learning,"
Springer, vol. 19(2), pages 379-405.
- Michel BenaÔm & J–rgen W. Weibull, 2003.
"Deterministic Approximation of Stochastic Evolution in Games,"
Econometric Society, vol. 71(3), pages 873-903, 05.
- Benaim, Michel & Weibull, Jörgen W., 2000. "Deterministic Approximation of Stochastic Evolution in Games," Working Paper Series 534, Research Institute of Industrial Economics, revised 30 Oct 2001.
- Fudenberg, D. & Kreps, D.M., 1992.
"Learning Mixed Equilibria,"
92-13, Massachusetts Institute of Technology (MIT), Department of Economics.
- Diamond, Peter A, 1982.
"Aggregate Demand Management in Search Equilibrium,"
Journal of Political Economy,
University of Chicago Press, vol. 90(5), pages 881-94, October.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- K. Binmore & L. Samuelson & K. Vaughn, 2010. "Musical Chairs: Modelling Noisy Evolution," Levine's Working Paper Archive 487, David K. Levine.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
If references are entirely missing, you can add them using this form.