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Step-by-Step Evolution with State-Dependent Mutations

  • Thomas Norman

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 University of Oxford, Department of Economics in its series Economics Series Working Papers with number 2003-W08.

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Date of creation: 01 Feb 2003
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Handle: RePEc:oxf:wpaper:2003-w08
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Web page: http://www.economics.ox.ac.uk/
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  1. Thomas Norman, 2003. "The Evolution of Coordination under Inertia," Economics Series Working Papers 2003-W06, University of Oxford, Department of Economics.
  2. William A. Brock & Steven N. Durlauf, 1995. "Discrete Choice with Social Interactions I: Theory," Working Papers 95-10-084, Santa Fe Institute.
  3. J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
  4. 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.
  5. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  6. Lee In Ho & Szeidl Adam & Valentinyi Akos, 2003. "Contagion and State Dependent Mutations," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-29, February.
  7. David P. Myatt & Chris Wallace, 2002. "Adaptive Play by Idiosyncratic Agents," Economics Series Working Papers 89, University of Oxford, Department of Economics.
  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. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  10. L. Blume, 2010. "The Statistical Mechanics of Strategic Interaction," Levine's Working Paper Archive 488, David K. Levine.
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