Large Deviations and Equilibrium Selection in Large Populations
This 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.
|Date of creation:||01 Nov 2002|
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- Alan Beggs, 2000.
"Stochastic Evolution with Slow Learning,"
Economics Series Working Papers
33, University of Oxford, Department of Economics.
- Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 17-45.
- Alan Beggs, 2005.
"Waiting times and equilibrium selection,"
Springer, vol. 25(3), pages 599-628, 04.
- Fudenberg, D. & Harris, C., 1992.
"Evolutionary dynamics with aggregate shocks,"
Journal of Economic Theory,
Elsevier, vol. 57(2), pages 420-441, August.
- K. Binmore & L. Samuelson & K. Vaughn, 2010. "Musical Chairs: Modelling Noisy Evolution," Levine's Working Paper Archive 487, David K. Levine.
- Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- 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 L Lipman, 1997. "Evolution with state-dependent Mutations," Levine's Working Paper Archive 771, David K. Levine.
- J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
- James Bergin & B. L. Lipman, 1994. "Evolution with state-dependent mutations," Working Papers 199411, School of Economics, University College Dublin.
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
- D. Foster & P. Young, 2010. "Stochastic Evolutionary Game Dynamics," Levine's Working Paper Archive 493, David K. Levine.
- Drew Fudenberg & David Kreps, 2010.
"Learning Mixed Equilibria,"
Levine's Working Paper Archive
415, David K. Levine.
- 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.
- Michel BenaÔm & J–rgen W. Weibull, 2003. "Deterministic Approximation of Stochastic Evolution in Games," Econometrica, Econometric Society, vol. 71(3), pages 873-903, 05.
- 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.
- F. Biesmans, 1977. "A Survey," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 48(1), pages 5-36, 01.
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