Fast Convergence in Evolutionary Equilibrium Selection
Stochastic learning models provide sharp predictions about equilibrium selection when the noise level of the learning process is taken to zero. The difficulty is that, when the noise is extremely small, it can take an extremely long time for a large population to reach the stochastically stable equilibrium. An important exception arises when players interact locally in small close-knit groups; in this case convergence can be rapid for small noise and an arbitrarily large population. We show that a similar result holds when the population is fully mixed and there is no local interaction. Selection is sharp and convergence is fast when the noise level is 'fairly' small but not extremely small.
|Date of creation:||01 Sep 2011|
|Contact details of provider:|| Postal: Manor Rd. Building, Oxford, OX1 3UQ|
Web page: https://www.economics.ox.ac.uk/
More information through EDIRC
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.:
- Lawrence Blume, 1993.
"The Statistical Mechanics of Best-Response Strategy Revision,"
Game Theory and Information
9307001, EconWPA, revised 26 Jan 1994.
- Blume Lawrence E., 1995. "The Statistical Mechanics of Best-Response Strategy Revision," Games and Economic Behavior, Elsevier, vol. 11(2), pages 111-145, November.
- William A. Brock & Steven N. Durlauf, 2000.
00-05-028, Santa Fe Institute.
- Lelarge, Marc, 2012. "Diffusion and cascading behavior in random networks," Games and Economic Behavior, Elsevier, vol. 75(2), pages 752-775.
- Ellison, Glenn, 1993.
"Learning, Local Interaction, and Coordination,"
Econometric Society, vol. 61(5), pages 1047-1071, September.
- William H. Sandholm, 2001. "Almost global convergence to p-dominant equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(1), pages 107-116.
- Lawrence Blume & Steven Durlauf, 2003.
"Equilibrium Concepts for Social Interaction Models,"
International Game Theory Review (IGTR),
World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 193-209.
- Blume,L. & Durlauf,S., 2002. "Equilibrium concepts for social interaction models," Working papers 7, Wisconsin Madison - Social Systems.
- Matthew O. Jackson & Leeat Yariv, 2007.
"Diffusion of Behavior and Equilibrium Properties in Network Games,"
American Economic Review,
American Economic Association, vol. 97(2), pages 92-98, May.
- Jackson, Matthew O. & Yariv, Leeat, 2006. "Diffusion of Behavior and Equilibrium Properties in Network Games," Working Papers 1264, California Institute of Technology, Division of the Humanities and Social Sciences.
- Kandori, M. & Mailath, G.J., 1991.
"Learning, Mutation, And Long Run Equilibria In Games,"
71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Blume Lawrence E., 1993.
"The Statistical Mechanics of Strategic Interaction,"
Games and Economic Behavior,
Elsevier, vol. 5(3), pages 387-424, July.
- L. Blume, 2010. "The Statistical Mechanics of Strategic Interaction," Levine's Working Paper Archive 488, David K. Levine.
- Hommes, Cars H. & Ochea, Marius I., 2012. "Multiple equilibria and limit cycles in evolutionary games with Logit Dynamics," Games and Economic Behavior, Elsevier, vol. 74(1), pages 434-441.
- R. McKelvey & T. Palfrey, 2010.
"Quantal Response Equilibria for Normal Form Games,"
Levine's Working Paper Archive
510, David K. Levine.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Lawrence E. Blume, 1994.
"How Noise Matters,"
Game Theory and Information
9407002, EconWPA, revised 27 Jul 1994.
- 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.
- Dunia López-Pintado, 2006. "Contagion and coordination in random networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 371-381, October.
- Daniel L. McFadden, 1976. "Quantal Choice Analaysis: A Survey," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 363-390 National Bureau of Economic Research, Inc.
- Sandholm, William H. & Tercieux, Olivier & Oyama, Daisuke, 2015.
"Sampling best response dynamics and deterministic equilibrium selection,"
Econometric Society, vol. 10(1), January.
- Oyama Daisuke & William H. Sandholm & Olivier Tercieux, 2015. "Sampling best response dynamics and deterministic equilibrium selection," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-01157537, HAL.
When requesting a correction, please mention this item's handle: RePEc:oxf:wpaper:569. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Monica Birds)
If references are entirely missing, you can add them using this form.