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Can A Turing Player Identify Itself?

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  • David K Levine
  • Balázs Szentes

Abstract

We show that the problem of whether two Turing Machines are functionally equivalent is undecidable and explain why this is significant for the theory of repeated play and evolution.
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Suggested Citation

  • David K Levine & Balázs Szentes, 2006. "Can A Turing Player Identify Itself?," Levine's Working Paper Archive 618897000000001015, David K. Levine.
  • Handle: RePEc:cla:levarc:618897000000001015
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    File URL: http://www.dklevine.com/papers/turing10.pdf
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    References listed on IDEAS

    as
    1. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    2. Canning, David, 1992. "Rationality, Computability, and Nash Equilibrium," Econometrica, Econometric Society, vol. 60(4), pages 877-888, July.
    3. repec:ebl:ecbull:v:1:y:2006:i:1:p:1-6 is not listed on IDEAS
    4. John H. Nachbar, 1997. "Prediction, Optimization, and Learning in Repeated Games," Econometrica, Econometric Society, vol. 65(2), pages 275-310, March.
    5. Theodore C. Bergstrom, 2002. "Evolution of Social Behavior: Individual and Group Selection," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 67-88, Spring.
    6. A. J. Robson, 2010. "Efficiency in Evolutionary Games: Darwin, Nash and the Secret Handshake," Levine's Working Paper Archive 540, David K. Levine.
    7. David K Levine & Wolfgang Pesendorfer, 2005. "Evolution of Cooperation Through Imitation," Levine's Working Paper Archive 7630, David K. Levine.
    8. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    Full references (including those not matched with items on IDEAS)

    More about this item

    JEL classification:

    • A0 - General Economics and Teaching - - General
    • A1 - General Economics and Teaching - - General Economics

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