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Private and social welfare gains in the Diamond-Dybvig model: A rationale for the existence of banks

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  • Guerrazzi, Marco

Abstract

In this note, I evaluate the private and the social welfare gains that in the Diamond-Dybvig model of bank runs characterize the switch from a decentralized to a centralized equilibrium that may hold even in an atomistic environment with banking intermediation. Specifically, relying on logarithmic preferences, I show that such a social welfare gain is an increasing function of the discount rate of more patient agents. Moreover, I show that for each level of the discount rate of patient agents, there is an optimal value of the proportion of these agents in the economy that maximizes the social welfare gain.

Suggested Citation

  • Guerrazzi, Marco, 2024. "Private and social welfare gains in the Diamond-Dybvig model: A rationale for the existence of banks," MPRA Paper 122102, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:122102
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    References listed on IDEAS

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    1. Bengt Holmstrom & Jean Tirole, 1998. "Private and Public Supply of Liquidity," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 1-40, February.
    2. Gu, Chao & Monnet, Cyril & Nosal, Ed & Wright, Randall, 2023. "Diamond–Dybvig and beyond: On the instability of banking," European Economic Review, Elsevier, vol. 154(C).
    3. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    4. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    5. Mark Gertler & Nobuhiro Kiyotaki, 2015. "Banking, Liquidity, and Bank Runs in an Infinite Horizon Economy," American Economic Review, American Economic Association, vol. 105(7), pages 2011-2043, July.
    Full references (including those not matched with items on IDEAS)

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    Keywords

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    JEL classification:

    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • E02 - Macroeconomics and Monetary Economics - - General - - - Institutions and the Macroeconomy
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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