IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/0004002.html
   My bibliography  Save this paper

Cooperation and Punishment

Author

Listed:
  • Jonathan P. Thomas

    (University of St. Andrews)

  • Robert Evans

    (University of Cambridge)

Abstract

We show that, in repeated common interest games without discounting, strong `perturbation implies efficiency' results require that the perturbations must include strategies which are `draconian' in the sense that they are prepared to punish to the maximum extent possible. Moreover, there is a draconian strategy whose presence in the perturbations guarantees that any equilibrium is efficient. We also argue that the results of Anderlini and Sabourian (1995) using perturbation strategies which are cooperative (and hence non-draconian) are not due to computability per se but to the further restrictions they impose on allowable beliefs.

Suggested Citation

  • Jonathan P. Thomas & Robert Evans, 2000. "Cooperation and Punishment," Game Theory and Information 0004002, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0004002
    Note: Type of Document - Acrobat PDF; prepared on IBM PC; pages: 22 ; figures: included. pdf file, prepared from sci word
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0004/0004002.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Aumann, Robert J. & Sorin, Sylvain, 1989. "Cooperation and bounded recall," Games and Economic Behavior, Elsevier, vol. 1(1), pages 5-39, March.
    2. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Computability of simple games: A characterization and application to the core," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 348-366, February.
    2. Anderson, Christopher M. & Putterman, Louis, 2006. "Do non-strategic sanctions obey the law of demand? The demand for punishment in the voluntary contribution mechanism," Games and Economic Behavior, Elsevier, vol. 54(1), pages 1-24, January.
    3. Herbert Gintis, 2000. "Strong Reciprocity and Human Sociality," UMASS Amherst Economics Working Papers 2000-02, University of Massachusetts Amherst, Department of Economics.
    4. Anderlini, Luca & Sabourian, Hamid, 2001. "Cooperation and computability in n-player games," Mathematical Social Sciences, Elsevier, vol. 42(2), pages 99-137, September.
    5. Bochet, Olivier & Page, Talbot & Putterman, Louis, 2006. "Communication and punishment in voluntary contribution experiments," Journal of Economic Behavior & Organization, Elsevier, vol. 60(1), pages 11-26, May.
    6. Dan Protopopescu, 2009. "Dynamic Stackelberg Game with Risk-Averse Players: Optimal Risk-Sharing under Asymmetric Information," UFAE and IAE Working Papers 797.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    7. Mailath, George J. & Samuelson, Larry, 2015. "Reputations in Repeated Games," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. Samuel Bowles & Herbert Gintis, 2002. "Social Capital and Community Governance," Economic Journal, Royal Economic Society, vol. 112(483), pages 419-436, November.
    9. Wolitzky, Alexander, 2011. "Indeterminacy of reputation effects in repeated games with contracts," Games and Economic Behavior, Elsevier, vol. 73(2), pages 595-607.
    10. Chun Lei Yang & Ching Syang Jack Yue, 2004. "The Rise of Cooperation in Correlated Matching Prisoners Dilemma: An Experiment," Levine's Bibliography 122247000000000097, UCLA Department of Economics.

    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. Ekmekci, Mehmet & Gossner, Olivier & Wilson, Andrea, 2012. "Impermanent types and permanent reputations," Journal of Economic Theory, Elsevier, vol. 147(1), pages 162-178.
    2. Burkhard C. Schipper, 2022. "Strategic Teaching and Learning in Games," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 321-352, August.
    3. Burkhard Schipper, 2015. "Strategic teaching and learning in games," Working Papers 151, University of California, Davis, Department of Economics.
    4. Sergiu Hart & Andreu Mas-Colell, 2013. "Stochastic Uncoupled Dynamics And Nash Equilibrium," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 8, pages 165-189, World Scientific Publishing Co. Pte. Ltd..
    5. Andrés Perea & Elias Tsakas, 2019. "Limited focus in dynamic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 571-607, June.
    6. Chantal Marlats, 2021. "Reputation effects in stochastic games with two long-lived players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 1-31, February.
    7. Mehmet Barlo & Guilherme Carmona, 2007. "One - memory in repeated games," Nova SBE Working Paper Series wp500, Universidade Nova de Lisboa, Nova School of Business and Economics.
    8. Gilboa Itzhak & Schmeidler David, 1994. "Infinite Histories and Steady Orbits in Repeated Games," Games and Economic Behavior, Elsevier, vol. 6(3), pages 370-399, May.
    9. Van Damme, Eric, 2002. "Strategic equilibrium," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 41, pages 1521-1596, Elsevier.
    10. Fernando Vega Redondo, 1993. "On The Evolution Of Cooperation In General Games Of Common Interest," Working Papers. Serie AD 1993-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    11. Colin, Stewart, 2011. "Nonmanipulable Bayesian testing," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2029-2041, September.
    12. Sent, Esther-Mirjam, 2004. "The legacy of Herbert Simon in game theory," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 303-317, March.
    13. O. Gossner, 2000. "Sharing a long secret in a few public words," THEMA Working Papers 2000-15, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    14. Sonin, Konstantin & Egorov, Georgy, 2005. "The Killing Game: Reputation and Knowledge in Non-Democratic Succession," CEPR Discussion Papers 5092, C.E.P.R. Discussion Papers.
    15. Gossner, Olivier & Vieille, Nicolas, 2003. "Strategic learning in games with symmetric information," Games and Economic Behavior, Elsevier, vol. 42(1), pages 25-47, January.
    16. Karl WÄrneryd, 1998. "Communication, complexity, and evolutionary stability," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 599-609.
    17. Salomon, Antoine & Forges, Françoise, 2015. "Bayesian repeated games and reputation," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 70-104.
    18. Carlsson, H. & Van Damme, E., 1989. "Global Payoff Uncertainty And Risk Dominance," Papers 8933, Tilburg - Center for Economic Research.
    19. Bhaskar, V., 1994. "Informational Constraints and the Overlapping Generations Model : Folk and Anti-Folk Theorems," Other publications TiSEM 46a2a327-5203-4940-91e2-2, Tilburg University, School of Economics and Management.
    20. Itzhak Gilboa, 1989. "A Note on the Consistency of Game Theory," Discussion Papers 847, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

    More about this item

    Keywords

    common interests; repeated games; cooperation; computability; reputation;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

    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:wpa:wuwpga:0004002. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.