IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1809.00051.html
   My bibliography  Save this paper

Repeated Coordination with Private Learning

Author

Listed:
  • Pathikrit Basu
  • Kalyan Chatterjee
  • Tetsuya Hoshino
  • Omer Tamuz

Abstract

We study a repeated game with payoff externalities and observable actions where two players receive information over time about an underlying payoff-relevant state, and strategically coordinate their actions. Players learn about the true state from private signals, as well as the actions of others. They commonly learn the true state (Cripps et al., 2008), but do not coordinate in every equilibrium. We show that there exist stable equilibria in which players can overcome unfavorable signal realizations and eventually coordinate on the correct action, for any discount factor. For high discount factors, we show that in addition players can also achieve efficient payoffs.

Suggested Citation

  • Pathikrit Basu & Kalyan Chatterjee & Tetsuya Hoshino & Omer Tamuz, 2018. "Repeated Coordination with Private Learning," Papers 1809.00051, arXiv.org.
  • Handle: RePEc:arx:papers:1809.00051
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1809.00051
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sandeep Baliga & Tomas Sjöström, 2004. "Arms Races and Negotiations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 351-369.
    2. Lones Smith & Peter Sorensen, 2000. "Pathological Outcomes of Observational Learning," Econometrica, Econometric Society, vol. 68(2), pages 371-398, March.
    3. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    4. ,, 2012. "A partial folk theorem for games with private learning," Theoretical Economics, Econometric Society, vol. 7(2), May.
    5. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    6. Chris Edmond, 2013. "Information Manipulation, Coordination, and Regime Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1422-1458.
    7. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2007. "Dynamic Global Games of Regime Change: Learning, Multiplicity, and the Timing of Attacks," Econometrica, Econometric Society, vol. 75(3), pages 711-756, May.
    8. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    9. Itay Goldstein & Ady Pauzner, 2005. "Demand–Deposit Contracts and the Probability of Bank Runs," Journal of Finance, American Finance Association, vol. 60(3), pages 1293-1327, June.
    10. Sylvain Chassang, 2010. "Fear of Miscoordination and the Robustness of Cooperation in Dynamic Global Games With Exit," Econometrica, Econometric Society, vol. 78(3), pages 973-1006, May.
    11. Drew Fudenberg & Yuichi Yamamoto, 2010. "Repeated Games Where the Payoffs and Monitoring Structure Are Unknown," Econometrica, Econometric Society, vol. 78(5), pages 1673-1710, September.
    12. Yang, Ming, 2015. "Coordination with flexible information acquisition," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 721-738.
    13. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "Learning from private information in noisy repeated games," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1733-1769, September.
    14. Thomas Wiseman, 2005. "A Partial Folk Theorem for Games with Unknown Payoff Distributions," Econometrica, Econometric Society, vol. 73(2), pages 629-645, March.
    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. Mira Frick & Ryota Iijima & Yuhta Ishii, 2021. "Learning Efficiency of Multi-Agent Information Structures," Cowles Foundation Discussion Papers 2299R, Cowles Foundation for Research in Economics, Yale University, revised Dec 2021.

    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. Basu, Pathikrit & Chatterjee, Kalyan & Hoshino, Tetsuya & Tamuz, Omer, 2020. "Repeated coordination with private learning," Journal of Economic Theory, Elsevier, vol. 190(C).
    2. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    3. Kováč, Eugen & Steiner, Jakub, 2013. "Reversibility in dynamic coordination problems," Games and Economic Behavior, Elsevier, vol. 77(1), pages 298-320.
    4. Pavan, Alessandro & Vives, Xavier, 2015. "Information, Coordination, and Market Frictions: An Introduction," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 407-426.
    5. Chong Huang, 2018. "Coordination and social learning," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(1), pages 155-177, January.
    6. Szkup, Michal & Trevino, Isabel, 2015. "Information acquisition in global games of regime change," Journal of Economic Theory, Elsevier, vol. 160(C), pages 387-428.
    7. Roweno J. R. K. Heijmans, 2023. "Unraveling Coordination Problems," Papers 2307.08557, arXiv.org, revised Aug 2023.
    8. Chong Huang, 2011. "Coordination and Social Learning," PIER Working Paper Archive 11-021, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    9. , & ,, 2013. "Selection-free predictions in global games with endogenous information and multiple equilibria," Theoretical Economics, Econometric Society, vol. 8(3), September.
    10. Edmond, Chris, 2018. "Non-Laplacian beliefs in a global game with noisy signaling," Research in Economics, Elsevier, vol. 72(2), pages 297-312.
    11. Toni Ahnert & Ali Kakhbod, 2017. "Information Choice and Amplification of Financial Crises," The Review of Financial Studies, Society for Financial Studies, vol. 30(6), pages 2130-2178.
    12. Dengwei Qi, 2022. "Learning and Strategic Delay in a Dynamic Coordination Game," KIER Working Papers 1087, Kyoto University, Institute of Economic Research.
    13. Huang, Chong, 2017. "Defending against speculative attacks: The policy maker's reputation," Journal of Economic Theory, Elsevier, vol. 171(C), pages 1-34.
    14. Szkup, Michal, 2020. "Multiplier effect and comparative statics in global games of regime change," Theoretical Economics, Econometric Society, vol. 15(2), May.
    15. Iachan, Felipe S. & Nenov, Plamen T., 2015. "Information quality and crises in regime-change games," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 739-768.
    16. Heijmans, Roweno J.R.K., 2023. "Unraveling Coordination Problems," Discussion Papers 2023/20, Norwegian School of Economics, Department of Business and Management Science.
    17. Araujo, Luis & Guimaraes, Bernardo, 2015. "Intertemporal coordination with delay options," Journal of Economic Theory, Elsevier, vol. 157(C), pages 793-810.
    18. Helland, Leif & Iachan, Felipe S. & Juelsrud, Ragnar E. & Nenov, Plamen T., 2021. "Information quality and regime change: Evidence from the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 538-554.
    19. Yi, Ming, 2017. "Speculator-triggered crisis and interventions," Journal of Macroeconomics, Elsevier, vol. 52(C), pages 135-146.
    20. Brindisi, Francesco & Çelen, Boğaçhan & Hyndman, Kyle, 2014. "The effect of endogenous timing on coordination under asymmetric information: An experimental study," Games and Economic Behavior, Elsevier, vol. 86(C), pages 264-281.

    More about this item

    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:arx:papers:1809.00051. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.