IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v05y2003i03ns0219198903001033.html
   My bibliography  Save this article

Imitation, Group Selection and Cooperation

Author

Listed:
  • Philippe Grégoire

    (Department of Economics, University of Western Ontario, London, Ontario, N6A 5C2, Canada)

  • Arthur Robson

    (Department of Economics, University of Western Ontario, London, Ontario, N6A 5C2, Canada)

Abstract

A prior signalling stage is added to the Prisoner's Dilemma and the overall population involved is divided into a number of subpopulations. Evolution involves both local and global imitation — so that the process is formally one of "group selection". A subpopulation that is not signalling and defecting against one and all can be invaded by two "secret handshake" mutants. A subpopulation that is composed entirely of the secret handshake strategy can be invaded by a single "sucker punch" mutant. Nevertheless, if there are at least three subpopulations, the population cooperates always, in the limit as the mutation rate tends to zero.

Suggested Citation

  • Philippe Grégoire & Arthur Robson, 2003. "Imitation, Group Selection and Cooperation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 229-247.
    • Handle: RePEc:wsi:igtrxx:v:05:y:2003:i:03:n:s0219198903001033
    DOI: 10.1142/S0219198903001033
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198903001033
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219198903001033?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hausken, Kjell, 2000. "Cooperation and between-group competition," Journal of Economic Behavior & Organization, Elsevier, vol. 42(3), pages 417-425, July.
    2. Wiseman, Thomas & Yilankaya, Okan, 2001. "Cooperation, Secret Handshakes, and Imitation in the Prisoners' Dilemma," Games and Economic Behavior, Elsevier, vol. 37(1), pages 216-242, October.
    3. Hausken, Kjell, 1995. "The dynamics of within-group and between-group interaction," Journal of Mathematical Economics, Elsevier, vol. 24(7), pages 655-687.
    4. John Creedy & Jeff Borland & Jürgen Eichberger, 1992. "Recent Developments In Game Theory," Books, Edward Elgar Publishing, number 115, March.
    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. Bös, Dieter, 2002. "Contests Among Bureaucrats," Bonn Econ Discussion Papers 27/2002, University of Bonn, Bonn Graduate School of Economics (BGSE).
    2. Kjell Hausken, 2016. "Gordon Tullock: A Nobel Prize left unbestowed," Journal of Bioeconomics, Springer, vol. 18(2), pages 121-127, July.
    3. Kjell Hausken, 2005. "Production and Conflict Models Versus Rent-Seeking Models," Public Choice, Springer, vol. 123(1), pages 59-93, April.
    4. Vjollca Sadiraj & Jan Tuinstra & Frans Winden, 2005. "Interest group size dynamics and policymaking," Public Choice, Springer, vol. 125(3), pages 271-303, December.
    5. Dieter Bös, 2004. "Contests Among Bureaucrats," Public Choice, Springer, vol. 119(3_4), pages 359-380, June.
    6. Dieter Bös, 2002. "Contests Among Bureaucrats," CESifo Working Paper Series 807, CESifo.
    7. Hausken, Kjell, 2000. "Migration and intergroup conflict," Economics Letters, Elsevier, vol. 69(3), pages 327-331, December.
    8. Heinrich Ursprung, 2012. "The evolution of sharing rules in rent seeking contests: Incentives crowd out cooperation," Public Choice, Springer, vol. 153(1), pages 149-161, October.
    9. Mark D. Smucker & E. Ann Stanley & Dan Ashlock, 1995. "Analyzing Social Network Structures in the Iterated Prisoner's Dilemma with Choice and Refusal," Game Theory and Information 9501001, University Library of Munich, Germany.
    10. Inderst, Roman, 2002. "Contractual Signaling in a Market Environment," Games and Economic Behavior, Elsevier, vol. 40(1), pages 77-98, July.
    11. Hausken, Kjell, 2000. "Cooperation and between-group competition," Journal of Economic Behavior & Organization, Elsevier, vol. 42(3), pages 417-425, July.
    12. Baik, Kyung Hwan & Lee, Sanghack, 2001. "Strategic Groups and Rent Dissipation," Economic Inquiry, Western Economic Association International, vol. 39(4), pages 672-684, October.
    13. Emerson M. S. Niou & Guofu Tan, 2005. "External Threat and Collective Action," Economic Inquiry, Western Economic Association International, vol. 43(3), pages 519-530, July.
    14. Rafael Reuveny & John W. Maxwell, 2001. "Conflict and Renewable Resources," Journal of Conflict Resolution, Peace Science Society (International), vol. 45(6), pages 719-742, December.
    15. Arthur T. Denzau & Douglass C. North, 1994. "Shared Mental Models: Ideologies and Institutions," Kyklos, Wiley Blackwell, vol. 47(1), pages 3-31, February.
    16. Jürgen Eichberger & David Kelsey, 2004. "Sequential Two-Player Games With Ambiguity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(4), pages 1229-1261, November.
    17. Kyung Hwan Baik, 2016. "Endogenous Group Formation in Contests: Unobservable Sharing Rules," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(2), pages 400-419, April.
    18. Marks, Robert, 1998. "Evolved perception and behaviour in oligopolies," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1209-1233, August.
    19. Baik, Kyung Hwan & Dijkstra, Bouwe R. & Lee, Sanghack & Lee, Shi Young, 2006. "The equivalence of rent-seeking outcomes for competitive-share and strategic groups," European Journal of Political Economy, Elsevier, vol. 22(2), pages 337-342, June.
    20. Cárdenas, Juan Camilo & Dreber, Anna & von Essen, Emma & Ranehill, Eva, 2015. "Cooperativeness and competitiveness in children," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 59(C), pages 32-41.

    More about this item

    Keywords

    Prisoner's Dilemma; secret handshake; imitation; cooperation; group selection; evolution; best-reply dynamics;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:wsi:igtrxx:v:05:y:2003:i:03:n:s0219198903001033. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.