Escape dynamics and equilibria selection by iterative cycle decomposition
This paper explores the medium-run behaviour of bounded rational players in repeatedly played games when they occasionally experiment or make mistakes. The formal analysis introduces a hierarchical structure of limit sets to characterize the most possible medium-run behaviour over gradually increased time intervals. The paper refines the notion of stochastic stability and offers a precise measure of the speed at which stochastically stable equilibria occur. Finally, the paper applies the results to a 3x3 symmetric game of Young (1993).
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- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
- M. Kandori & G. Mailath & R. Rob, 1999.
"Learning, Mutation and Long Run Equilibria in Games,"
Levine's Working Paper Archive
500, David K. Levine.
- 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.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- D. Foster & P. Young, 2010. "Stochastic Evolutionary Game Dynamics," Levine's Working Paper Archive 493, David K. Levine.
- Jeffrey C. Ely, 2002. "Local Conventions," Discussion Papers 1349, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- M. Kandori & R. Rob, 2010.
"Evolution of Equilibria in the Long Run: A General Theory and Applications,"
Levine's Working Paper Archive
502, David K. Levine.
- Kandori Michihiro & Rob Rafael, 1995. "Evolution of Equilibria in the Long Run: A General Theory and Applications," Journal of Economic Theory, Elsevier, vol. 65(2), pages 383-414, April.
- Drew Fudenberg & David K. Levine, 1998.
"The Theory of Learning in Games,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262061945, March.
- Samuelson Larry, 1994. "Stochastic Stability in Games with Alternative Best Replies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 35-65, October.
- James Bergin & B. L. Lipman, 1994.
"Evolution with state-dependent mutations,"
199411, School of Economics, University College Dublin.
- 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.
- Young, H. Peyton, 2006. "Social Dynamics: TheorY AND Applications," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 22, pages 1081-1108 Elsevier.
- Drew Fudenberg & Lorens A. Imhof, 2004.
"Imitation Processes with Small Mutations,"
Harvard Institute of Economic Research Working Papers
2050, Harvard - Institute of Economic Research.
- Sanjeev Goyal & Fernando Vega-Redondo, 2003.
"Network Formation and Social Coordination,"
481, Queen Mary University of London, School of Economics and Finance.
- Noeldecke,Georg & Samuelson,Larry, .
"An evolutionary analysis of backward and forward induction,"
Discussion Paper Serie B
228, University of Bonn, Germany.
- Noldeke Georg & Samuelson Larry, 1993. "An Evolutionary Analysis of Backward and Forward Induction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 425-454, July.
- G. Noldeke & L. Samuelson, 2010. "An Evolutionary Analysis of Backward and Forward Induction," Levine's Working Paper Archive 538, David K. Levine.
- Alan Beggs, 2005.
"Waiting times and equilibrium selection,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(3), pages 599-628, 04.
- Ely Jeffrey C, 2002. "Local Conventions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-32, May.
- Glen Ellison, 2010.
"Learning, Local Interaction, and Coordination,"
Levine's Working Paper Archive
391, David K. Levine.
- Levine, David K. & Fudenberg, Drew, 2009.
"Learning and Equilibrium,"
4382413, Harvard University Department of Economics.
- Jeffrey Ely, 2010. "Local Conventions," Levine's Working Paper Archive 492, David K. Levine.
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