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A bank runs model with a continuum of types

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  • 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.

Suggested Citation

  • Azrieli, Yaron & Peck, James, 2012. "A bank runs model with a continuum of types," Journal of Economic Theory, Elsevier, vol. 147(5), pages 2040-2055.
  • Handle: RePEc:eee:jetheo:v:147:y:2012:i:5:p:2040-2055
    DOI: 10.1016/j.jet.2012.05.002
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    References listed on IDEAS

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    1. Fuente,Angel de la, 2000. "Mathematical Methods and Models for Economists," Cambridge Books, Cambridge University Press, number 9780521585293, April.
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    Cited by:

    1. Huberto M. 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.
    2. 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.

    More about this item

    Keywords

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

    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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