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On the Existence of Equilibrium Bank Runs in a Diamond-Dybvig Environment

  • Guilherme Carmona

    (Universidade Nova de Lisboa)

In a version of the Diamond and Dybvig (1983) model with aggregate uncertainty, we show that there exists an equilibrium with the following properties: all consumers deposit at the bank, all patient consumers wait for the last period to withdraw, and the bank fails with strictly positive probability. Furthermore, we show that the probability of a bank failure remains bounded away from zero as the number of consumers increases. We interpret such an equilibrium as reflecting a bank run, defined as an episode in which a large number of people withdraw their deposits from a bank, forcing it to fail. Our results show that we can have equilibrium bank runs with consumers poorly informed about the true state of nature, a sequential service constraint, an infinite marginal utility of consumption at zero, and without consumers' panic and sunspots. We therefore think that aggregate risk in Diamond-Dybvig-like environments can be an important element to explain bank runs.

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Paper provided by EconWPA in its series Finance with number 0404009.

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Length: 52 pages
Date of creation: 20 Apr 2004
Date of revision:
Handle: RePEc:wpa:wuwpfi:0404009
Note: Type of Document - pdf; pages: 52
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Peck, James & Shell, Karl, 2001. "Equilibrium Bank Runs," Working Papers 01-10r, Cornell University, Center for Analytic Economics.
  2. Edward J. Green & Ping Lin, 2000. "Diamond and Dybvig's classic theory of financial intermediation : what's missing?," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 3-13.
  3. Ennis, Huberto M. & Keister, Todd, 2003. "Economic growth, liquidity, and bank runs," Journal of Economic Theory, Elsevier, vol. 109(2), pages 220-245, April.
  4. Karl Shell & James Peck, 2004. "Bank Portfolio Restrictions and Equilibrium Bank Runs," 2004 Meeting Papers 359, Society for Economic Dynamics.
  5. Reinhart, Carmen & Kaminsky, Graciela, 1999. "The twin crises: The causes of banking and balance of payments problems," MPRA Paper 14081, University Library of Munich, Germany.
  6. Barlo, Mehmet & Carmona, Guilherme, 2015. "Strategic behavior in non-atomic games," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 134-144.
  7. Gary Gorton, 1986. "Banking panics and business cycles," Working Papers 86-9, Federal Reserve Bank of Philadelphia.
  8. Guilherme Carmona, 2003. "Nash and Limit Equilibria of Games with a Continuum of Players," Game Theory and Information 0311004, EconWPA.
  9. Hildenbrand, Werner, 1971. "Random preferences and equilibrium analysis," Journal of Economic Theory, Elsevier, vol. 3(4), pages 414-429, December.
  10. Ted Temzelides & Bernandino Adao, 1995. "Beliefs, Competition, and Bank Runs," Finance 9511001, EconWPA.
  11. Franklin Allen & Douglas Gale, 1998. "Optimal Financial Crises," Journal of Finance, American Finance Association, vol. 53(4), pages 1245-1284, 08.
  12. 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.
  13. Edward J. Green, 1995. "Implementing Efficient Allocations in a Model of Financial Intermediation," Meeting papers 9506001, EconWPA.
  14. Neil Wallace, 1988. "Another attempt to explain an illiquid banking system: the Diamond and Dybvig model with sequential service taken seriously," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 3-16.
  15. 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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