IDEAS home Printed from https://ideas.repec.org/p/tky/fseres/2011cf795.html
   My bibliography  Save this paper

Monitoring Accuracy and Retaliation in Infinitely Repeated Games with Imperfect Private Monitoring: Theory and Experiments

Author

Listed:
  • Hitoshi Matsushima

    (Faculty of Economics, University of Tokyo)

  • Tomohisa Toyama

    (Faculty of Engineering, Kogakuin University)

Abstract

This paper experimentally examines infinitely repeated prisoners' dilemma games with imperfect private monitoring and random termination where the probability of termination is very low. Laboratory subjects make the cooperative action choices quite often, and make the cooperative action choice when monitoring is accurate more often than when it is inaccurate. Our experimental results, however, indicate that they make the cooperative action choice much less often than the game theory predicts. The subjects' naïveté and social preferences concerning reciprocity prevent the device of regime shift between the reward and punishment phases from functioning in implicit collusion.

Suggested Citation

  • Hitoshi Matsushima & Tomohisa Toyama, 2011. "Monitoring Accuracy and Retaliation in Infinitely Repeated Games with Imperfect Private Monitoring: Theory and Experiments," CIRJE F-Series CIRJE-F-795, CIRJE, Faculty of Economics, University of Tokyo.
  • Handle: RePEc:tky:fseres:2011cf795
    as

    Download full text from publisher

    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2011/2011cf795.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ernst Fehr & Simon Gächter, 2000. "Fairness and Retaliation: The Economics of Reciprocity," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 159-181, Summer.
    2. Jim Engle-Warnick & Robert Slonim, 2006. "Inferring repeated-game strategies from actions: evidence from trust game experiments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 603-632, August.
    3. Charles F. Mason & Owen R. Phillips, 2002. "In Support of Trigger Strategies: Experimental Evidence from Two‐Person Noncooperative Games," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 11(4), pages 685-716, December.
    4. Hitoshi Matsushima, 2014. "Interlinkage and Generous Tit-for-Tat Strategy," The Japanese Economic Review, Japanese Economic Association, vol. 65(1), pages 116-121, March.
    5. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    6. John Duffy & Félix Muñoz-García, 2012. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Games, MDPI, vol. 3(1), pages 1-22, March.
    7. Ely, Jeffrey C. & Valimaki, Juuso, 2002. "A Robust Folk Theorem for the Prisoner's Dilemma," Journal of Economic Theory, Elsevier, vol. 102(1), pages 84-105, January.
    8. Sekiguchi, Tadashi, 1997. "Efficiency in Repeated Prisoner's Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 76(2), pages 345-361, October.
    9. Aoyagi, Masaki & Fréchette, Guillaume, 2009. "Collusion as public monitoring becomes noisy: Experimental evidence," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1135-1165, May.
    10. repec:ebl:ecbull:v:3:y:2002:i:6:p:1-11 is not listed on IDEAS
    11. Holcomb, James H. & Nelson, Paul S., 1997. "The role of monitoring in duopoly market outcomes," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 26(1), pages 79-93.
    12. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
    13. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    14. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, May.
    15. Takahashi, Satoru, 2010. "Community enforcement when players observe partners' past play," Journal of Economic Theory, Elsevier, vol. 145(1), pages 42-62, January.
    16. Robert Feinberg & Christopher Snyder, 2002. "Collusion with secret price cuts: an experimental investigation," Economics Bulletin, AccessEcon, vol. 3(6), pages 1-11.
    17. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    18. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    19. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    20. Berg Joyce & Dickhaut John & McCabe Kevin, 1995. "Trust, Reciprocity, and Social History," Games and Economic Behavior, Elsevier, vol. 10(1), pages 122-142, July.
    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. Masaki Aoyagi & V. Bhaskar & Guillaume R. Fréchette, 2019. "The Impact of Monitoring in Infinitely Repeated Games: Perfect, Public, and Private," American Economic Journal: Microeconomics, American Economic Association, vol. 11(1), pages 1-43, February.
    2. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2016. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring:Experiments and Theory," CIRJE F-Series CIRJE-F-1004, CIRJE, Faculty of Economics, University of Tokyo.
    3. Kayaba, Yutaka & Matsushima, Hitoshi & Toyama, Tomohisa, 2020. "Accuracy and retaliation in repeated games with imperfect private monitoring: Experiments," Games and Economic Behavior, Elsevier, vol. 120(C), pages 193-208.
    4. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2017. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments and Theory (Revised version of F-381)," CARF F-Series CARF-F-414, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    5. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2019. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments (Revised version of CARF-F-433)," CARF F-Series CARF-F-466, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.

    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. Hitoshi Matsushima & Tomomi Tanaka & Tomohisa Toyama, 2013. "Behavioral Approach to Repeated Games with Private Monitoring," CARF F-Series CARF-F-309, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    2. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2017. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments and Theory (Revised version of F-381)," CARF F-Series CARF-F-414, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    3. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2016. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments and Theory," CARF F-Series CARF-F-381, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    4. Matsushima Hitoshi, 2020. "Behavioral Theory of Repeated Prisoner’s Dilemma: Generous Tit-For-Tat Strategy," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(1), pages 1-11, January.
    5. Hitoshi Matsushima, 2019. "Behavioral Theory of Repeated Prisoner’s Dilemma: Generous Tit-For-Tat Strategy (Forthcoming in the B. E. Journal of Theoretical Economics)," CARF F-Series CARF-F-452, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    6. Kayaba, Yutaka & Matsushima, Hitoshi & Toyama, Tomohisa, 2020. "Accuracy and retaliation in repeated games with imperfect private monitoring: Experiments," Games and Economic Behavior, Elsevier, vol. 120(C), pages 193-208.
    7. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2019. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments (Revised version of CARF-F-433)," CARF F-Series CARF-F-466, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    8. Fabian Dvorak & Sebastian Fehrler, 2024. "Negotiating Cooperation under Uncertainty: Communication in Noisy, Indefinitely Repeated Interactions," American Economic Journal: Microeconomics, American Economic Association, vol. 16(3), pages 232-258, August.
    9. Heller, Yuval, 2017. "Instability of belief-free equilibria," Journal of Economic Theory, Elsevier, vol. 168(C), pages 261-286.
    10. Yuichi Yamamoto, 2013. "Individual Learning and Cooperation in Noisy Repeated Games," PIER Working Paper Archive 13-038, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    11. Heller, Yuval, 2015. "Instability of Equilibria with Imperfect Private Monitoring," MPRA Paper 64468, University Library of Munich, Germany.
    12. repec:pra:mprapa:64485 is not listed on IDEAS
    13. Masaki Aoyagi & V. Bhaskar & Guillaume R. Fréchette, 2019. "The Impact of Monitoring in Infinitely Repeated Games: Perfect, Public, and Private," American Economic Journal: Microeconomics, American Economic Association, vol. 11(1), pages 1-43, February.
    14. Hitoshi Matsushima, 2014. "Interlinkage and Generous Tit-for-Tat Strategy," The Japanese Economic Review, Japanese Economic Association, vol. 65(1), pages 116-121, March.
    15. Yuichi Yamamoto, 2012. "Individual Learning and Cooperation in Noisy Repeated Games," PIER Working Paper Archive 12-044, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    16. Miyagawa, Eiichi & Miyahara, Yasuyuki & Sekiguchi, Tadashi, 2008. "The folk theorem for repeated games with observation costs," Journal of Economic Theory, Elsevier, vol. 139(1), pages 192-221, March.
    17. , H. & ,, 2016. "Approximate efficiency in repeated games with side-payments and correlated signals," Theoretical Economics, Econometric Society, vol. 11(1), January.
    18. Mailath, George J. & Morris, Stephen, 2002. "Repeated Games with Almost-Public Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 189-228, January.
    19. Goeschl, Timo & Jarke, Johannes, 2014. "Trust, but verify? When trustworthiness is observable only through (costly) monitoring," WiSo-HH Working Paper Series 20, University of Hamburg, Faculty of Business, Economics and Social Sciences, WISO Research Laboratory.
    20. Yamamoto, Yuichi, 2012. "Characterizing belief-free review-strategy equilibrium payoffs under conditional independence," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1998-2027.
    21. Yamamoto, Yuichi, 2009. "A limit characterization of belief-free equilibrium payoffs in repeated games," Journal of Economic Theory, Elsevier, vol. 144(2), pages 802-824, March.

    More about this item

    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:tky:fseres:2011cf795. 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: CIRJE administrative office (email available below). General contact details of provider: https://edirc.repec.org/data/ritokjp.html .

    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.