IDEAS home Printed from https://ideas.repec.org/p/phs/dpaper/201607.html
   My bibliography  Save this paper

Threshold Bank-run Equilibrium in Dynamic Games

Author

Listed:
  • Romeo Matthew Balanquit

    (School of Economics, University of the Philippines Diliman)

Abstract

This study sets a bank-run equilibrium analysis in a dynamic and incomplete information environment where agents can reconsider attempts to run on the bank over time. The typical static bank-run model is extended in this paper to capture the learning dynamics of agents through time, giving bank-run analysis a more realistic feature. Apart from employing a self-fullling framework in this model, where agents' actions are strategic complements, we allow agents to update over time their beliefs on the strength of the fundamentals that is not commonly known. In particular, we extend the bank-run model analyzed by Goldstein and Pauzner (Journal of Finance 2005) and build it on a dynamic global games framework studied by Angeletos et.al. (Econometrica 2007). We present here how a simple recursive setup can generate a unique monotone perfect Bayesian Nash equilibrium and show how the probability of bank-run is a¤ected through time by the inow of information and the knowledge of previous state outcome. Finally, it is also shown that when an unobservable shock is introduced, multiplicity of equilibria can result in this dynamic learning process.

Suggested Citation

  • Romeo Matthew Balanquit, 2016. "Threshold Bank-run Equilibrium in Dynamic Games," UP School of Economics Discussion Papers 201607, University of the Philippines School of Economics.
  • Handle: RePEc:phs:dpaper:201607
    as

    Download full text from publisher

    File URL: http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/1494
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Flavio Toxvaerd & Chryssi Giannitsarou, 2004. "Recursive global games," Money Macro and Finance (MMF) Research Group Conference 2003 104, Money Macro and Finance Research Group.
    2. Mathias Dewatripont & Lars Peter Hansen & Stephen Turnovsky, 2003. "Advances in Economics and Econometrics: Theory and Applications, Eighth World Congress," ULB Institutional Repository 2013/176002, ULB -- Universite Libre de Bruxelles.
    3. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742.
    4. Obstfeld, Maurice, 1996. "Models of currency crises with self-fulfilling features," European Economic Review, Elsevier, vol. 40(3-5), pages 1037-1047, April.
    5. James Peck & Karl Shell, 2003. "Bank Portfolio Restrictions and Equilibrium Bank Runs," Levine's Bibliography 666156000000000077, UCLA Department of Economics.
    6. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124.
    7. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728.
    8. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131.
    9. 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.
    10. Calvo, Guillermo A, 1988. "Servicing the Public Debt: The Role of Expectations," American Economic Review, American Economic Association, vol. 78(4), pages 647-661, September.
    11. Harold L. Cole & Timothy J. Kehoe, 2000. "Self-Fulfilling Debt Crises," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 91-116.
    12. Robert P. Flood & Peter M. Garber, 1987. "Gold Monetization and Gold Discipline," Palgrave Macmillan Books, in: Robert Z. Aliber (ed.), The Reconstruction of International Monetary Arrangements, chapter 10, pages 183-211, Palgrave Macmillan.
    13. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117.
    14. James Peck & Karl Shell, 2003. "Equilibrium Bank Runs," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 103-123, February.
    15. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735.
    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. Giancarlo Marini & Giovanni Piersanti, 2012. "Models of Speculative Attacks and Crashes in International Capital Markets," CEIS Research Paper 245, Tor Vergata University, CEIS, revised 24 Jul 2012.
    2. Aleh Tsyvinski & Arijit Mukherji & Christian Hellwig, 2006. "Self-Fulfilling Currency Crises: The Role of Interest Rates," American Economic Review, American Economic Association, vol. 96(5), pages 1769-1787, December.
    3. Christian Hellwig, 2004. "Self-Fulfilling Currency Crises: The Role of Interest Rates (A.E.R., December 2006)," UCLA Economics Online Papers 338, UCLA Department of Economics.
    4. Assaf Razin & Itay Goldstein, 2012. "Review Of Theories of Financial Crises," 2012 Meeting Papers 214, Society for Economic Dynamics.
    5. Goldstein, Itay & Razin, Assaf, 2015. "Three Branches of Theories of Financial Crises," Foundations and Trends(R) in Finance, now publishers, vol. 10(2), pages 113-180, 30.
    6. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2006. "Signaling in a Global Game: Coordination and Policy Traps," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 452-484, June.
    7. Tijmen Daniëls, 2009. "Unique Equilibrium in a Dynamic Model of Speculative Attacks," De Economist, Springer, vol. 157(4), pages 417-439, December.
    8. Christian Hellwig & Arijit Mukherji, 2005. "Financial Crises and Interest Rates," 2005 Meeting Papers 172, Society for Economic Dynamics.
    9. Piersanti, Giovanni, 2012. "The Macroeconomic Theory of Exchange Rate Crises," OUP Catalogue, Oxford University Press, number 9780199653126.
    10. Pablo Kurlat, 2015. "Optimal Stopping in a Model of Speculative Attacks," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(2), pages 212-226, April.
    11. 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.
    12. , L., 2013. "Fragility of reputation and clustering of risk-taking," Theoretical Economics, Econometric Society, vol. 8(3), September.
    13. Oh, Frederick Dongchuhl, 2013. "Contagion of a liquidity crisis between two firms," Journal of Financial Economics, Elsevier, vol. 107(2), pages 386-400.
    14. Ennis, Huberto M. & Keister, Todd, 2005. "Government policy and the probability of coordination failures," European Economic Review, Elsevier, vol. 49(4), pages 939-973, May.
    15. Xuewen Liu, 2015. "Short-Selling Attacks and Creditor Runs," Management Science, INFORMS, vol. 61(4), pages 814-830, April.
    16. , & ,, 2013. "Selection-free predictions in global games with endogenous information and multiple equilibria," Theoretical Economics, Econometric Society, vol. 8(3), September.
    17. Abraham Aldama & Mateo Vásquez-Cortés & Lauren Elyssa Young, 2019. "Fear and citizen coordination against dictatorship," Journal of Theoretical Politics, , vol. 31(1), pages 103-125, January.
    18. Yoo, Seung Han, 2014. "Learning a population distribution," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 188-201.
    19. Kasahara, Tetsuya, 2009. "Coordination failure among multiple lenders and the role and effects of public policy," Journal of Financial Stability, Elsevier, vol. 5(2), pages 183-198, June.
    20. Adrien Blanchet & Pascal Mossay & Filippo Santambrogio, 2016. "Existence And Uniqueness Of Equilibrium For A Spatial Model Of Social Interactions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(1), pages 31-60, February.

    More about this item

    Keywords

    threshold bank-run; monotone perfect Bayesian Nash equilibrium; dynamic global games;
    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
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

    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:phs:dpaper:201607. 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: RT Campos (email available below). General contact details of provider: https://edirc.repec.org/data/seupdph.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.