IDEAS home Printed from https://ideas.repec.org/p/urv/wpaper/2072-290761.html
   My bibliography  Save this paper

Brownian Signals: Information Quality, Quantity and Timing in Repeated Games

Author

Listed:
  • Osório, António (António Miguel)

Abstract

This paper examines different Brownian information structures over varying time intervals. We focus on the non-limit case, and on the trade-offs between information quality and quantity when making a decision whether to cooperate or defect in a prisoners' dilemma game. In the best-case scenario, the information quality gains are strong enough so that agents can substitute information quantity with information quality. In the second best-case scenario, the information quality gains are weak and must be compensated for with additional information quantity. In this case, information quality improves but not quickly enough to dispense with the use of information quantity. For suficiently large time intervals, information degrades and monitoring becomes mostly based on information quantity. The results depend crucially on the particular information structure and on the rate at which information quality improves or decays with respect to the discounting incentives. JEL: C73, D82, D86. KEYWORDS: Repeated Games; Frequent Monitoring; Information Quantity; In- formation Quality.

Suggested Citation

  • Osório, António (António Miguel), 2017. "Brownian Signals: Information Quality, Quantity and Timing in Repeated Games," Working Papers 2072/290761, Universitat Rovira i Virgili, Department of Economics.
    • Handle: RePEc:urv:wpaper:2072/290761
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/2072/290761
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yuliy Sannikov & Andrzej Skrzypacz, 2007. "Impossibility of Collusion under Imperfect Monitoring with Flexible Production," American Economic Review, American Economic Association, vol. 97(5), pages 1794-1823, December.
    2. Yuliy Sannikov, 2007. "Games with Imperfectly Observable Actions in Continuous Time," Econometrica, Econometric Society, vol. 75(5), pages 1285-1329, September.
    3. Drew Fudenberg & David K. Levine, 2008. "Continuous time limits of repeated games with imperfect public monitoring," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 17, pages 369-388, World Scientific Publishing Co. Pte. Ltd..
    4. Michihiro Kandori, 1992. "The Use of Information in Repeated Games with Imperfect Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 581-593.
    5. Kamada, Yuichiro & Kominers, Scott Duke, 2010. "Information can wreck cooperation: A counterpoint to Kandori (1992)," Economics Letters, Elsevier, vol. 107(2), pages 112-114, May.
    6. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
    7. Osório, António (António Miguel), 2015. "Some Notes and Comments on the Efficient use of Information in Repeated Games with Poisson Signals," Working Papers 2072/249233, Universitat Rovira i Virgili, Department of Economics.
    8. Porter, Robert H., 1983. "Optimal cartel trigger price strategies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 313-338, April.
    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. António Osório, 2018. "Brownian Signals: Information Quality, Quantity and Timing in Repeated Games," Computational Economics, Springer;Society for Computational Economics, vol. 52(2), pages 387-404, August.
    2. Osório António M., 2012. "A Folk Theorem for Games when Frequent Monitoring Decreases Noise," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-27, April.
    3. Osório-Costa, António M., 2009. "Frequent Monitoring in Repeated Games under Brownian Uncertainty," MPRA Paper 13104, University Library of Munich, Germany.
    4. Osório-Costa, António M., 2009. "Efficiency Gains in Repeated Games at Random Moments in Time," MPRA Paper 13105, University Library of Munich, Germany.
    5. Osório, António (António Miguel), 2015. "Brownian Signals: Information Quality, Quantity and Timing in Repeated Games," Working Papers 2072/260962, Universitat Rovira i Virgili, Department of Economics.
    6. Osório, António (António Miguel), 2015. "Some Notes and Comments on the Efficient use of Information in Repeated Games with Poisson Signals," Working Papers 2072/249233, Universitat Rovira i Virgili, Department of Economics.
    7. Osório Costa, Antonio Miguel, 2012. "The Limits of Discrete Time Repeated Games:Some Notes and Comments," Working Papers 2072/203171, Universitat Rovira i Virgili, Department of Economics.
    8. Osório Costa, Antonio Miguel, 2011. "Public Monitoring with Uncertainty in the Time Repetitions," Working Papers 2072/179668, Universitat Rovira i Virgili, Department of Economics.
    9. Fudenberg, Drew & Ishii, Yuhta & Kominers, Scott Duke, 2014. "Delayed-response strategies in repeated games with observation lags," Journal of Economic Theory, Elsevier, vol. 150(C), pages 487-514.
    10. Bohren, J. Aislinn, 2024. "Persistence in a dynamic moral hazard game," Theoretical Economics, Econometric Society, vol. 19(1), January.
    11. Daehyun Kim & Ichiro Obara, 2023. "On the Value of Information Structures in Stochastic Games," Papers 2308.09211, arXiv.org.
    12. Aislinn Bohren, 2016. "Using Persistence to Generate Incentives in a Dynamic Moral Hazard Problem," PIER Working Paper Archive 16-024, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 15 Oct 2016.
    13. Fudenberg, Drew & Levine, David Saul, 2013. "Tail probabilities for triangular arrays," Scholarly Articles 13041349, Harvard University Department of Economics.
    14. Dirk Hackbarth & Bart Taub, 2022. "Does the Potential to Merge Reduce Competition?," Management Science, INFORMS, vol. 68(7), pages 5364-5383, July.
    15. Jonathan Glover & Eunhee Kim, 2021. "Optimal Team Composition: Diversity to Foster Implicit Team Incentives," Management Science, INFORMS, vol. 67(9), pages 5800-5820, September.
    16. Hackbarth, Dirk & Taub, Bart, 2018. "Does the Potential to Merge Reduce Competition?," CEPR Discussion Papers 12732, C.E.P.R. Discussion Papers.
    17. 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.
    18. Ryota Iijima & Akitada Kasahara, 2016. "Gradual Adjustment and Equilibrium Uniqueness under Noisy Monitoring," ISER Discussion Paper 0965, Institute of Social and Economic Research, Osaka University.
    19. , & ,, 2015. "A folk theorem for stochastic games with infrequent state changes," Theoretical Economics, Econometric Society, vol. 10(1), January.
    20. Abito, Jose Miguel & Chen, Cuicui, 2023. "A partial identification framework for dynamic games," International Journal of Industrial Organization, Elsevier, vol. 87(C).

    More about this item

    Keywords

    Jocs; Teoria de; Informació; Teoria de la; 33 - Economia;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

    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:urv:wpaper:2072/290761. 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: Ariadna Casals (email available below). General contact details of provider: https://edirc.repec.org/data/deurves.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.