How Noise Matters
Recent advances in evolutionary game theory have employed stochastic processes of noise in decisionmaking to select in favor of certain equilibria in coordination games. Noisy decisionmaking is justified on bounded rationality grounds, and consequently the sources of noise are left unmodelled. This methodological approach can only be successful if the results do not depend too much on the nature of the noise process. This paper investigates invariance to noise of the equilibrium selection results, both for the random matching paradigm that has characterized much of the recent literature and for a larger class of two-strategy population games where payoffs may vary non-linearly with the distribution of strategies among the population. Several parametrizations of noise reduction are investigated. The results show that a symmetry property of the noise process and (in the case of non-linear payoffs) bounds on the asymmetry of the payoff functions suffice to preserve the selection results of the evolutionary literature.
|Date of creation:||27 Jul 1994|
|Date of revision:||27 Jul 1994|
|Note:||One TeX file (24 pages) and an EPS file, queries to LB19@CORNELL.EDU|
|Contact details of provider:|| Web page: http://econwpa.repec.org|
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.:
- D. Fudenberg & C. Harris, 2010.
"Evolutionary Dynamics with Aggregate Shocks,"
Levine's Working Paper Archive
496, David K. Levine.
- L. Blume, 2010.
"The Statistical Mechanics of Strategic Interaction,"
Levine's Working Paper Archive
488, 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.
- Canning, D., 1990.
"Average Behaviour In Learning Models,"
156, Cambridge - Risk, Information & Quantity Signals.
- Brock, William A & Durlauf, Steven N, 2001.
"Discrete Choice with Social Interactions,"
Review of Economic Studies,
Wiley Blackwell, vol. 68(2), pages 235-60, April.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- 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).
- Samuelson Larry, 1994. "Stochastic Stability in Games with Alternative Best Replies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 35-65, October.
- William Brock & Steven N. Durlauf, 2000.
NBER Technical Working Papers
0258, National Bureau of Economic Research, Inc.
- 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.
When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpga:9407002. 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: (EconWPA)
If references are entirely missing, you can add them using this form.