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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- D. Foster & P. Young, 2010. "Stochastic Evolutionary Game Dynamics," Levine's Working Paper Archive 493, David K. Levine.
- Bergin, James & Lipman, Barton L, 1996.
"Evolution with State-Dependent Mutations,"
Econometric Society, vol. 64(4), pages 943-956, July.
- 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.
- Glen Ellison, 2010.
"Learning, Local Interaction, and Coordination,"
Levine's Working Paper Archive
391, David K. Levine.
- Drew Fudenberg & David K. Levine, 2009.
"Learning and Equilibrium,"
Annual Review of Economics,
Annual Reviews, vol. 1(1), pages 385-420, 05.
- Jeffrey Ely, 2010.
Levine's Working Paper Archive
492, David K. Levine.
- Drew Fudenberg & Lorens A. Imhof, 2004.
"Imitation Processes with Small Mutations,"
Harvard Institute of Economic Research Working Papers
2050, Harvard - Institute of Economic Research.
- 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.
- Goyal, Sanjeev & Vega-Redondo, Fernando, 2005.
"Network formation and social coordination,"
Games and Economic Behavior,
Elsevier, vol. 50(2), pages 178-207, February.
- Samuelson Larry, 1994. "Stochastic Stability in Games with Alternative Best Replies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 35-65, October.
- Alan Beggs, 2003.
"Waiting Times and Equilibrium Selection,"
Economics Series Working Papers
142, University of Oxford, Department of Economics.
- 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.
- 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, 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.
- Drew Fudenberg & David K. Levine, 1996.
"The Theory of Learning in Games,"
Levine's Working Paper Archive
624, David K. Levine.
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, 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.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
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