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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

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    1. Levine, David K. & Pesendorfer, Wolfgang, 2007. "The evolution of cooperation through imitation," Games and Economic Behavior, Elsevier, vol. 58(2), pages 293-315, February.
    2. John H. Nachbar, 1997. "Prediction, Optimization, and Learning in Repeated Games," Econometrica, Econometric Society, vol. 65(2), pages 275-310, March.
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    4. Canning, David, 1992. "Rationality, Computability, and Nash Equilibrium," Econometrica, Econometric Society, vol. 60(4), pages 877-888, July.
    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. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    7. repec:ebl:ecbull:v:1:y:2006:i:1:p:1-6 is not listed on IDEAS
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    JEL classification:

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

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