A generalized Nash equilibrium problem arising in banking regulation: An existence result with Tarski's theorem.

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Title: A generalized Nash equilibrium problem arising in banking regulation: An existence result with Tarski's theorem.
Authors: Braouezec, Yann1 (AUTHOR) y.braouezec@ieseg.fr, Kiani, Keyvan2 (AUTHOR) kiani@em-lyon.com
Source: Operations Research Letters. Jan2023, Vol. 51 Issue 1, p105-110. 6p.
Subjects: Nash equilibrium, Banking laws, Bank assets, Financial markets
Abstract: When hit with an adverse shock, banks that do not comply with capital regulation sell risky assets to satisfy their solvency constraint. When financial markets are imperfectly competitive, this naturally gives rise to a GNEP. We consider a new framework with an arbitrary number of banks and assets, and show that Tarski's theorem can be used to prove the existence of a Nash equilibrium when markets are sufficiently competitive. We also prove the existence of ϵ -Nash equilibria. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:When hit with an adverse shock, banks that do not comply with capital regulation sell risky assets to satisfy their solvency constraint. When financial markets are imperfectly competitive, this naturally gives rise to a GNEP. We consider a new framework with an arbitrary number of banks and assets, and show that Tarski's theorem can be used to prove the existence of a Nash equilibrium when markets are sufficiently competitive. We also prove the existence of ϵ -Nash equilibria. [ABSTRACT FROM AUTHOR]
ISSN:01676377
DOI:10.1016/j.orl.2022.12.003