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Evolution with Mutations Driven by Control Costs

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  • Weibull, Jörgen W.

    ()
    (The Research Institute of Industrial Economics)

  • van Damme, Eric

    (Center for Economic Research)

Abstract

Bergin and Lipman (1996) show that the refinement effect from the random mutations in the adaptive dynamics in Kandori, Mailath and Rob (1993) and Young (1993) is due to restrictions on how these mutation rates vary across population states. We here model these mutation rates as endogenously determined mistake probabilities, by assuming that players at some cost or disutility can control their mistake probability, i.e., the probability of implementing another pure strategy than intented. This is shown to corroborate the result in Kandori-Mailath-Rob and Young that the risk-dominant equilibrium is selected in 2 x 2-coordination games.

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Bibliographic Info

Paper provided by Research Institute of Industrial Economics in its series Working Paper Series with number 501.

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Length: 15 pages
Date of creation: 17 Aug 1998
Date of revision:
Publication status: Published in Journal of Economic Theory, 2002, pages 296-315.
Handle: RePEc:hhs:iuiwop:0501

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Postal: Research Institute of Industrial Economics, Box 55665, SE-102 15 Stockholm, Sweden
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Keywords: Evolution; Game theory; Mutations;

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References

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  1. Lawrence E. Blume, 1994. "How Noise Matters," Game Theory and Information 9407002, EconWPA, revised 27 Jul 1994.
  2. Samuelson Larry, 1994. "Stochastic Stability in Games with Alternative Best Replies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 35-65, October.
  3. Roger B. Myerson, 1977. "Refinements of the Nash Equilibrium Concept," Discussion Papers 295, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
  5. L. Blume, 2010. "The Statistical Mechanics of Strategic Interaction," Levine's Working Paper Archive 488, David K. Levine.
  6. Maruta, Toshimasa, 2002. "Binary Games with State Dependent Stochastic Choice," Journal of Economic Theory, Elsevier, vol. 103(2), pages 351-376, April.
  7. Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
  8. J Bergin & B L Lipman, 1997. "Evolution with state-dependent Mutations," Levine's Working Paper Archive 771, David K. Levine.
  9. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  10. Robles, Jack, 1998. "Evolution with Changing Mutation Rates," Journal of Economic Theory, Elsevier, vol. 79(2), pages 207-223, April.
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Cited by:
  1. David K Levine & Wolfgang Pesendorfer, 2000. "Evolution Through Imitation in a Single Population," Levine's Working Paper Archive 2122, David K. Levine.
  2. Levine, David K. & Pesendorfer, Wolfgang, 2007. "The evolution of cooperation through imitation," Games and Economic Behavior, Elsevier, vol. 58(2), pages 293-315, February.
  3. Nyborg, Karine & Telle, Kjetil, 2003. "The Role of Warnings in Regulation: Keeping Control with Less Punishment," Memorandum 24/2003, Oslo University, Department of Economics.
  4. Kaarboe, O.M. & Tieman, A.F., 2000. "Equilibrium Selection in Games with Macroeconomic Complementarities," Norway; Department of Economics, University of Bergen 2199, Department of Economics, University of Bergen.
  5. Myatt, David P. & Wallace, Chris C., 2004. "Adaptive play by idiosyncratic agents," Games and Economic Behavior, Elsevier, vol. 48(1), pages 124-138, July.
  6. Edward Droste & Robert P. Gilles & Cathleen Johnson, 2000. "Evolution of Conventions in Endogenous Social Networks," Econometric Society World Congress 2000 Contributed Papers 0594, Econometric Society.
  7. Kosfeld, Michael, 2002. "Why shops close again: An evolutionary perspective on the deregulation of shopping hours," European Economic Review, Elsevier, vol. 46(1), pages 51-72, January.
  8. David K Levine & Wolfgang Pesendorfer, 2005. "Evolution of Cooperation Through Imitation," Levine's Working Paper Archive 7630, David K. Levine.

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