IDEAS home Printed from https://ideas.repec.org/p/cla/levarc/618897000000001015.html
   My bibliography  Save this paper

Can A Turing Player Identify Itself?

Author

Listed:
  • 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.
(This abstract was borrowed from another version of this item.)

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
    as

    Download full text from publisher

    File URL: http://www.dklevine.com/papers/turing10.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    3. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    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
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:ebl:ecbull:v:1:y:2006:i:1:p:1-6 is not listed on IDEAS
    2. Nachbar, John H & Zame, William R, 1996. "Non-computable Strategies and Discounted Repeated Games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 103-122, June.
    3. Jehiel, Philippe, 1998. "Learning to Play Limited Forecast Equilibria," Games and Economic Behavior, Elsevier, vol. 22(2), pages 274-298, February.
    4. Horaguchi, Haruo, 1996. "The role of information processing cost as the foundation of bounded rationality in game theory," Economics Letters, Elsevier, vol. 51(3), pages 287-294, June.
    5. Herings, P. Jean-Jacques & Peeters, Ronald & Tenev, Anastas P. & Thuijsman, Frank, 2021. "Naïve imitation and partial cooperation in a local public goods model," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 162-185.
    6. Anderlini, Luca, 1998. "Forecasting errors and bounded rationality: An example," Mathematical Social Sciences, Elsevier, vol. 36(2), pages 71-90, September.
    7. Anderlini, Luca & Sabourian, Hamid, 2001. "Cooperation and computability in n-player games," Mathematical Social Sciences, Elsevier, vol. 42(2), pages 99-137, September.
    8. García, Julián & van Veelen, Matthijs, 2016. "In and out of equilibrium I: Evolution of strategies in repeated games with discounting," Journal of Economic Theory, Elsevier, vol. 161(C), pages 161-189.
    9. Pedro Dal Bo & Guillaume R. Frochette, 2011. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," American Economic Review, American Economic Association, vol. 101(1), pages 411-429, February.
    10. Stefano Demichelis & Jorgen W. Weibull, 2008. "Language, Meaning, and Games: A Model of Communication, Coordination, and Evolution," American Economic Review, American Economic Association, vol. 98(4), pages 1292-1311, September.
    11. Juan I. Block & David K. Levine, 2016. "Codes of conduct, private information and repeated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 971-984, November.
    12. Herings, P.J.J. & Peeters, Ronald & Tenev, Anastas P., 2023. "Directed Reciprocity Subverts Altruism in Highly Adaptive Populations," Discussion Paper 2023-014, Tilburg University, Center for Economic Research.
    13. Ishii, Ryosuke, 2012. "Observable Actions," ビジネス創造センターディスカッション・ペーパー (Discussion papers of the Center for Business Creation) 10252/4776, Otaru University of Commerce.
    14. K. Binmore & L. Samuelson, 2010. "Evolutionary Stability in Repeated Games Played by Finite Automata," Levine's Working Paper Archive 561, David K. Levine.
    15. García-Martínez, José A. & Vega-Redondo, Fernando, 2015. "Social cohesion and the evolution of altruism," Games and Economic Behavior, Elsevier, vol. 92(C), pages 74-105.
    16. Demichelis, Stefano & Weibull, Jörgen, 2006. "Efficiency, communication and honesty," SSE/EFI Working Paper Series in Economics and Finance 645, Stockholm School of Economics, revised 28 Nov 2006.
    17. Ingela Alger, 2010. "Public Goods Games, Altruism, and Evolution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 789-813, August.
    18. Pedro Dal BÛ & Enrique R. Pujals, 2013. "The Evolutionary Robustness of Forgiveness and Cooperation," Working Papers 2013-5, Brown University, Department of Economics.
    19. Levine, David K. & Pesendorfer, Wolfgang, 2007. "The evolution of cooperation through imitation," Games and Economic Behavior, Elsevier, vol. 58(2), pages 293-315, February.
    20. Drew Fudenberg & David K Levine, 2016. "Whither Game Theory?," Levine's Working Paper Archive 786969000000001307, David K. Levine.
    21. Scott E. Page, 1998. "Uncertainty, Difficulty, and Complexity," Research in Economics 98-08-076e, Santa Fe Institute.

    More about this item

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cla:levarc:618897000000001015. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: David K. Levine (email available below). General contact details of provider: http://www.dklevine.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.