Guerrazzi, Marco (2024): Private and social welfare gains in the Diamond-Dybvig model: A rationale for the existence of banks.
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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.
Item Type: | MPRA Paper |
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Original Title: | Private and social welfare gains in the Diamond-Dybvig model: A rationale for the existence of banks |
Language: | English |
Keywords: | Bank runs; Private and social welfare gains; Banking intermediation; Bernoulli distribution |
Subjects: | D - Microeconomics > D0 - General > D02 - Institutions: Design, Formation, Operations, and Impact E - Macroeconomics and Monetary Economics > E0 - General > E02 - Institutions and the Macroeconomy E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E44 - Financial Markets and the Macroeconomy G - Financial Economics > G2 - Financial Institutions and Services > G21 - Banks ; Depository Institutions ; Micro Finance Institutions ; Mortgages |
Item ID: | 122102 |
Depositing User: | Prof. Marco Guerrazzi |
Date Deposited: | 25 Sep 2024 06:53 |
Last Modified: | 25 Sep 2024 06:53 |
References: | Cass, D. (1965), Optimum Growth in Aggregative Model of Capital Accumulation, Review of Economic Studies, Vol. 32, No. 3, pp. 233-240. Diamond, D. W., Dybvig, P. H. (1983), Bank Runs, Deposit Insurance, and Liquidity, Journal of Political Economy, Vol. 91, No. 3, pp. 401-419. Gertler. M., Kiyotaki. N. (2015), Banking, Liquidity, and Bank Runs in an Infinite Horizon Economy, American Economic Review, Vol. 105, No. 7, pp. 2011-2043. Gu, C., Monnet, C., Nosal, E., Wright, R. (2023), Diamond-Dybvig and Beyond: On the Instability of Banking, European Economic Review, Vol. 154, Page 104414. Holmström, B. Tirole, J. (1998), Private and Public Supply of Liquidity, Journal of Political Economy, Vol. 106, No. 1, pp. 1-40. Shell, K., Zhang, Y. (2018), Bank Runs: The Predeposit Game, Macroeconomic Dynamics, Vol. 24, No. 2, pp. 403-420. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/122102 |