IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2409.08145.html

Inertial Coordination Games

Author

Listed:
  • Andrew Koh
  • Ricky Li
  • Kei Uzui

Abstract

We analyze inertial coordination games: dynamic coordination games with an endogenously changing state that depends on (i) a persistent fundamental players privately learn about over time; and (ii) past play. The speed of learning determines long-run equilibrium dynamics: the risk-dominant action is played in the limit if and only if learning is slow such that posterior precisions grow sub-quadratically. This generalizes results from static global games and endows them with a learning foundation. Conversely, when learning is fast such that posterior precisions grow super-quadratically, shocks can propagate and generate self-fulfilling spirals.

Suggested Citation

  • Andrew Koh & Ricky Li & Kei Uzui, 2024. "Inertial Coordination Games," Papers 2409.08145, arXiv.org, revised Aug 2025.
  • Handle: RePEc:arx:papers:2409.08145
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2409.08145
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    2. Mathevet, Laurent & Steiner, Jakub, 2013. "Tractable dynamic global games and applications," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2583-2619.
    3. Stephen Morris, "undated". "Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction and Random Matching," Penn CARESS Working Papers 1879bf5487d743edef7f32bb2, Penn Economics Department.
    4. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    5. Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504, January.
    6. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, December.
    7. Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, March.
    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. 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.
    2. Anke Gerbery & Thorsten Hensz & Bodo Vogtx, 2010. "Rational Investor Sentimentina Repeated Stochastic Game with Imperfect Monitoring," Post-Print hal-00911824, HAL.
    3. repec:osf:socarx:ymzrd_v1 is not listed on IDEAS
    4. Oyama, Daisuke & Takahashi, Satoru, 2015. "Contagion and uninvadability in local interaction games: The bilingual game and general supermodular games," Journal of Economic Theory, Elsevier, vol. 157(C), pages 100-127.
    5. van Damme, E.E.C., 2000. "Non-cooperative Games," Discussion Paper 2000-96, Tilburg University, Center for Economic Research.
    6. Kets, Willemien & Kager, Wouter & Sandroni, Alvaro, 2022. "The value of a coordination game," Journal of Economic Theory, Elsevier, vol. 201(C).
    7. Gerber, Anke & Hens, Thorsten & Vogt, Bodo, 2010. "Rational investor sentiment in a repeated stochastic game with imperfect monitoring," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 669-704, December.
    8. Jin, Ye & Zhou, Zhen & Brandenburger, Adam, 2023. "Coordination via delay: Theory and experiment," Games and Economic Behavior, Elsevier, vol. 137(C), pages 23-49.
    9. van Damme, E.E.C., 2015. "Game theory : Noncooperative games," Other publications TiSEM ff518f2b-501f-4d99-817b-c, Tilburg University, School of Economics and Management.
    10. Jackson, Matthew O. & Rodriguez-Barraquer, Tomas & Tan, Xu, 2012. "Epsilon-equilibria of perturbed games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 198-216.
    11. D. Dubois & M. Willinger & P. Van Nguyen, 2012. "Optimization incentive and relative riskiness in experimental stag-hunt games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 369-380, May.
    12. Yoo, Seung Han, 2014. "Learning a population distribution," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 188-201.
    13. Stephen Morris & Ming Yang, 2016. "Coordination and Continuous Choice," Working Papers 087_2017, Princeton University, Department of Economics, Econometric Research Program..
    14. Antonio Cabrales & Rosemarie Nagel & Roc Armenter, 2007. "Equilibrium selection through incomplete information in coordination games: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 10(3), pages 221-234, September.
    15. Chen, Yi-Chun & Mueller-Frank, Manuel & Pai, Mallesh M., 2022. "Continuous implementation with direct revelation mechanisms," Journal of Economic Theory, Elsevier, vol. 201(C).
    16. repec:osf:osfxxx:9vm5t_v1 is not listed on IDEAS
    17. Jun Honda, 2015. "Games with the Total Bandwagon Property," Department of Economics Working Papers wuwp197, Vienna University of Economics and Business, Department of Economics.
    18. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    19. Araujo, Luis & Guimaraes, Bernardo, 2015. "Intertemporal coordination with delay options," Journal of Economic Theory, Elsevier, vol. 157(C), pages 793-810.
    20. Antonio Cabrales & Michalis Drouvelis & Zeynep Gurguy & Indrajit Ray, 2017. "Transparency is Overrated: Communicating in a Coordination Game with Private Information," CESifo Working Paper Series 6781, CESifo.
    21. Siegfried K. Berninghaus & Lora R. Todorova & Bodo Vogt, 2012. "How Sensitive is Strategy Selection in Coordination Games?," FEMM Working Papers 120020, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    22. Chassang, Sylvain, 2008. "Uniform selection in global games," Journal of Economic Theory, Elsevier, vol. 139(1), pages 222-241, March.

    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:2409.08145. 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.