An Equilibrium Model of Interbank Networks Based on Variational Inequalities

We develop an equilibrium model of credit network and trust network in the interbank market. We consider two kinds of decision makers including banks with liquidity surplus and banks with liquidity shortage. We model the behavior of the decision makers, derive the equilibrium conditions, and establi...

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Main Authors: Shouwei Li, Jianmin He
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2013/175232
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author Shouwei Li
Jianmin He
author_facet Shouwei Li
Jianmin He
author_sort Shouwei Li
collection DOAJ
description We develop an equilibrium model of credit network and trust network in the interbank market. We consider two kinds of decision makers including banks with liquidity surplus and banks with liquidity shortage. We model the behavior of the decision makers, derive the equilibrium conditions, and establish the variational inequality formulation for interbank credit network and trust network. We then utilize the variational inequality formulation to obtain qualitative properties of the equilibrium pattern in terms of existence and uniqueness.
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institution Kabale University
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series Advances in Mathematical Physics
spelling doaj-art-a44f977c912e480fad7cc4893b43afd12025-02-03T01:24:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/175232175232An Equilibrium Model of Interbank Networks Based on Variational InequalitiesShouwei Li0Jianmin He1School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, ChinaSchool of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, ChinaWe develop an equilibrium model of credit network and trust network in the interbank market. We consider two kinds of decision makers including banks with liquidity surplus and banks with liquidity shortage. We model the behavior of the decision makers, derive the equilibrium conditions, and establish the variational inequality formulation for interbank credit network and trust network. We then utilize the variational inequality formulation to obtain qualitative properties of the equilibrium pattern in terms of existence and uniqueness.http://dx.doi.org/10.1155/2013/175232
spellingShingle Shouwei Li
Jianmin He
An Equilibrium Model of Interbank Networks Based on Variational Inequalities
Advances in Mathematical Physics
title An Equilibrium Model of Interbank Networks Based on Variational Inequalities
title_full An Equilibrium Model of Interbank Networks Based on Variational Inequalities
title_fullStr An Equilibrium Model of Interbank Networks Based on Variational Inequalities
title_full_unstemmed An Equilibrium Model of Interbank Networks Based on Variational Inequalities
title_short An Equilibrium Model of Interbank Networks Based on Variational Inequalities
title_sort equilibrium model of interbank networks based on variational inequalities
url http://dx.doi.org/10.1155/2013/175232
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