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A bank runs model with a continuum of types

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Listed author(s):
  • Azrieli, Yaron
  • Peck, James

Abstract

We consider a bank runs model à la Diamond and Dybvig (1983) [3] with a continuum of agent types, indexed by the degree of patience. Much of our understanding based on the two-type model must be modified. The endogenous determination of a cutoff type is central to the analysis. In the case where the bank can credibly commit to a contract, the optimal contract results in socially excessive early withdrawals in every equilibrium of the post-deposit subgame. Thus, even at the best equilibrium the socially efficient outcome is not achieved, and agentsʼ behavior exhibits features of a bank run. In the case where commitment is not possible, there are strictly more early withdrawals and strictly lower welfare than the full-commitment equilibrium.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 147 (2012)
Issue (Month): 5 ()
Pages: 2040-2055

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Handle: RePEc:eee:jetheo:v:147:y:2012:i:5:p:2040-2055
DOI: 10.1016/j.jet.2012.05.002
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

Keywords: Bank runs; Continuum of types; Optimal bank contract; Commitment;

Find related papers by JEL classification:

  • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
  • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
  • E59 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Other
  • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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  1. Fuente,Angel de la, 2000. "Mathematical Methods and Models for Economists," Cambridge Books, Cambridge University Press, number 9780521585293, September.
  2. Andolfatto, David & Nosal, Ed & Wallace, Neil, 2007. "The role of independence in the Green-Lin Diamond-Dybvig model," Journal of Economic Theory, Elsevier, vol. 137(1), pages 709-715, November.
  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. Green, Edward J. & Lin, Ping, 2003. "Implementing efficient allocations in a model of financial intermediation," Journal of Economic Theory, Elsevier, vol. 109(1), pages 1-23, March.
  5. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
  6. Peck, James & Shell, Karl, 2010. "Could making banks hold only liquid assets induce bank runs?," Journal of Monetary Economics, Elsevier, vol. 57(4), pages 420-427, May.
  7. Ennis, Huberto M. & Keister, Todd, 2009. "Run equilibria in the Green-Lin model of financial intermediation," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1996-2020, September.
  8. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 14-23.
  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, 06.
  10. Ennis, Huberto M. & Keister, Todd, 2010. "Banking panics and policy responses," Journal of Monetary Economics, Elsevier, vol. 57(4), pages 404-419, May.
  11. Ping Lin, 1996. "Banking, incentive constraints, and demand deposit contracts with nonlinear returns (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 27-39.
  12. James Peck & Karl Shell, 2003. "Equilibrium Bank Runs," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 103-123, February.
  13. Gu, Chao, 2011. "Herding and bank runs," Journal of Economic Theory, Elsevier, vol. 146(1), pages 163-188, January.
  14. Neil Wallace, 1990. "A banking model in which partial suspension is best," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 11-23.
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Cited by:

  1. Jarrow, Robert & Xu, Liheng, 2015. "Bank runs and self-insured bank deposits," The Quarterly Review of Economics and Finance, Elsevier, vol. 58(C), pages 180-189.
  2. Huberto Ennis & Todd Keister, 2016. "Optimal banking contracts and financial fragility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(2), pages 335-363, February.

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