IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v120y2013i2p332-337.html
   My bibliography  Save this article

Repeated games with local monitoring and private communication

Author

Listed:
  • Laclau, M.

Abstract

I consider repeated games with local monitoring: each player observes his neighbors’ moves only. Hence, monitoring is private and imperfect. Communication is private: each player can send different (costless) messages to different players. The solution concept is perfect Bayesian equilibrium. I prove that a folk theorem holds if and only if each player has two neighbors. This extends the result of Ben-Porath and Kahneman (1996) to private communication, provided the existence of sequential equilibrium.

Suggested Citation

  • Laclau, M., 2013. "Repeated games with local monitoring and private communication," Economics Letters, Elsevier, vol. 120(2), pages 332-337.
    • Handle: RePEc:eee:ecolet:v:120:y:2013:i:2:p:332-337
    DOI: 10.1016/j.econlet.2013.05.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176513002280
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2013.05.002?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
    2. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    3. Laclau, M., 2013. "Repeated games with local monitoring and private communication," Economics Letters, Elsevier, vol. 120(2), pages 332-337.
    4. JÊrÆme Renault & Tristan Tomala, 1998. "Repeated proximity games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 539-559.
    5. Sorin, Sylvain, 1992. "Repeated games with complete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 4, pages 71-107, Elsevier.
    6. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    7. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    8. Obara, Ichiro, 2009. "Folk theorem with communication," Journal of Economic Theory, Elsevier, vol. 144(1), pages 120-134, January.
    9. repec:dau:papers:123456789/6115 is not listed on IDEAS
    10. Abreu, Dilip & Dutta, Prajit K & Smith, Lones, 1994. "The Folk Theorem for Repeated Games: A NEU Condition," Econometrica, Econometric Society, vol. 62(4), pages 939-948, July.
    11. Lehrer, E, 1989. "Lower Equilibrium Payoffs in Two-Player Repeated Games with Non-observable Actions," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(1), pages 57-89.
    12. Sorin, Sylvain, 1992. "Repeated games with complete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 4, pages 71-107, Elsevier.
    13. Renault, Jerome & Tomala, Tristan, 2004. "Learning the state of nature in repeated games with incomplete information and signals," Games and Economic Behavior, Elsevier, vol. 47(1), pages 124-156, April.
    14. Laclau, Marie, 2012. "A folk theorem for repeated games played on a network," Games and Economic Behavior, Elsevier, vol. 76(2), pages 711-737.
    15. Fudenberg, Drew & Maskin, Eric, 1991. "On the dispensability of public randomization in discounted repeated games," Journal of Economic Theory, Elsevier, vol. 53(2), pages 428-438, April.
    16. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    17. Drew Fudenberg & David K. Levine, 2008. "An Approximate Folk Theorem with Imperfect Private Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 14, pages 309-330, World Scientific Publishing Co. Pte. Ltd..
    18. Laclau, M., 2014. "Communication in repeated network games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 87(C), pages 136-160.
    19. Ben-Porath, Elchanan & Kahneman, Michael, 1996. "Communication in Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 70(2), pages 281-297, August.
    20. Tristan Tomala, 2011. "Fault Reporting in Partially Known Networks and Folk Theorems," Operations Research, INFORMS, vol. 59(3), pages 754-763, June.
    21. Roy Radner, 1986. "Repeated Partnership Games with Imperfect Monitoring and No Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 43-57.
    22. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
    23. Tristan Tomala, 2008. "Probabilistic Reliability and Privacy of Communication Using Multicast in General Neighbor Networks," Post-Print hal-00464542, HAL.
    24. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    25. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
    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. Bo Chen & Bin Zhang & Hua-qing Wu, 2015. "Misreporting behaviour in iterated prisoner's dilemma game with combined trust strategy," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 31-43, January.
    2. Laclau, M., 2013. "Repeated games with local monitoring and private communication," Economics Letters, Elsevier, vol. 120(2), pages 332-337.
    3. Fainmesser, Itay P. & Goldberg, David A., 2018. "Cooperation in partly observable networked markets," Games and Economic Behavior, Elsevier, vol. 107(C), pages 220-237.

    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. Laclau, M., 2014. "Communication in repeated network games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 87(C), pages 136-160.
    2. Laclau, Marie, 2012. "A folk theorem for repeated games played on a network," Games and Economic Behavior, Elsevier, vol. 76(2), pages 711-737.
    3. Jérôme Renault & Tristan Tomala, 2011. "General Properties of Long-Run Supergames," Dynamic Games and Applications, Springer, vol. 1(2), pages 319-350, June.
    4. Markus Kinateder, 2006. "Repeated Games Played in a Network," UFAE and IAE Working Papers 674.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    5. Ashkenazi-Golan, Galit & Lehrer, Ehud, 2019. "What you get is what you see: Cooperation in repeated games with observable payoffs," Journal of Economic Theory, Elsevier, vol. 181(C), pages 197-237.
    6. Tomala, Tristan, 2009. "Perfect communication equilibria in repeated games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 67(2), pages 682-694, November.
    7. Kandori, Michihiro, 2002. "Introduction to Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 1-15, January.
    8. Harrison Cheng, 2000. "Folk Theorem with One-sided Information," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 338-363, April.
    9. Tristan Tomala, 2011. "Fault Reporting in Partially Known Networks and Folk Theorems," Operations Research, INFORMS, vol. 59(3), pages 754-763, June.
    10. Ben-Porath, Elchanan & Kahneman, Michael, 2003. "Communication in repeated games with costly monitoring," Games and Economic Behavior, Elsevier, vol. 44(2), pages 227-250, August.
    11. Ashkenazi-Golan, Galit & Lehrer, Ehud, 2019. "Blackwell's comparison of experiments and discounted repeated games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 163-194.
    12. Sugaya, Takuo & Wolitzky, Alexander, 2017. "Bounding equilibrium payoffs in repeated games with private monitoring," Theoretical Economics, Econometric Society, vol. 12(2), May.
    13. 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.
    14. 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.
    15. Mouraviev, Igor, 2006. "Private Observation, Tacit Collusion and Collusion with Communication," Working Paper Series 672, Research Institute of Industrial Economics.
    16. Marie Laclau & Ludovic Renou & Xavier Venel, 2024. "Communication on networks and strong reliability," Working Papers hal-03099678, HAL.
    17. Marie Laclau & Ludovic Renou & Xavier Venel, 2020. "Robust communication on networks," Papers 2007.00457, arXiv.org, revised Oct 2020.
    18. Yuichi Yamamoto, 2010. "The use of public randomization in discounted repeated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 431-443, July.
    19. , H. & ,, 2016. "Approximate efficiency in repeated games with side-payments and correlated signals," Theoretical Economics, Econometric Society, vol. 11(1), January.
    20. George J. Mailath & : Wojciech Olszewski, 2008. "Folk Theorems with Bounded Recall under (Almost) Perfect Monitoring, Second Version," PIER Working Paper Archive 08-027, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Jul 2008.

    More about this item

    Keywords

    Communication; Folk theorem; Imperfect private monitoring; Networks; Repeated games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:eee:ecolet:v:120:y:2013:i:2:p:332-337. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.