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Step-by-Step Evolution with State-Dependent Mutations

This paper considers the extension of Ellison's (2000) "Radius-Modified Coradius" Theorem from the uniform-mutations case to a general stochastic setting. A modified theorem is presented, with a crucial role now played by the most probable evolutionary paths between states. The form of such paths is liable to change outside of the uniform mutations case, with concomitant effects on both long-run selection and expected waiting times. An algorithm for finding these paths is offered, and used to demonstrate the continued optimality of "step-by-step" evolution.

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File URL: http://www.nuff.ox.ac.uk/economics/papers/2003/W8/Steps.pdf
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Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2003-W08.

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Length: 16 pages
Date of creation:
Date of revision:
Handle: RePEc:nuf:econwp:0308
Contact details of provider: Web page: http://www.nuff.ox.ac.uk/economics/

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  1. M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
  2. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  3. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
  4. William A. Brock & Steven N. Durlauf, 1995. "Discrete Choice with Social Interactions I: Theory," NBER Working Papers 5291, National Bureau of Economic Research, Inc.
  5. Lee, In Ho & Szeidl, Adam & Valentinyi, Akos, 2000. "Contagion and state dependent mutations," Discussion Paper Series In Economics And Econometrics 0027, Economics Division, School of Social Sciences, University of Southampton.
  6. Myatt, David P. & Wallace, Chris C., 2004. "Adaptive play by idiosyncratic agents," Games and Economic Behavior, Elsevier, vol. 48(1), pages 124-138, July.
  7. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  8. Weibull, Jörgen W. & van Damme, Eric, 1998. "Evolution with Mutations Driven by Control Costs," Working Paper Series 501, Research Institute of Industrial Economics.
  9. J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
  10. Thomas Norman, 2003. "The Evolution of Coordination under Inertia," Economics Series Working Papers 2003-W06, University of Oxford, Department of Economics.
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