CLEARING IN FINANCIAL NETWORKS

被引:4
作者
Kabanov, Yu M. [1 ]
Mokbel, R. [2 ]
El Bitar, Kh [2 ]
机构
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
[2] Univ Franche Comte, Lab Math, Besancon, France
基金
俄罗斯科学基金会;
关键词
systemic risk; financial networks; clearing; Knaster-Tarski theorem; SYSTEMIC RISK; CONTAGION;
D O I
10.1137/S0040585X97T988599
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This paper is a survey of recent results on the clearing in financial systems. Mathematically, the principal questions of the reviewed studies are on the existence and uniqueness of solutions of specific nonlinear equations x = f(x), where f: R-d \ar=r\ R-d is a mapping defined via stochastic and substochastic matrices. Some algorithms of calculations of fixed points are discussed.
引用
收藏
页码:252 / 277
页数:26
相关论文
共 17 条
[1]   Systemic Risk and Stability in Financial Networks [J].
Acemoglu, Daron ;
Ozdaglar, Asuman ;
Tahbaz-Salehi, Alireza .
AMERICAN ECONOMIC REVIEW, 2015, 105 (02) :564-608
[2]   To Fully Net or Not to Net: Adverse Effects of Partial Multilateral Netting [J].
Amini, Hamed ;
Filipovic, Damir ;
Minca, Andreea .
OPERATIONS RESEARCH, 2016, 64 (05) :1135-1142
[3]  
[Anonymous], APPL MATH
[4]   Liquidity risk and contagion [J].
Cifuentes, R ;
Ferrucci, G ;
Shin, HS .
JOURNAL OF THE EUROPEAN ECONOMIC ASSOCIATION, 2005, 3 (2-3) :556-566
[5]   FIRE SALES FORENSICS: MEASURING ENDOGENOUS RISK [J].
Cont, Rama ;
Wagalath, Lakshithe .
MATHEMATICAL FINANCE, 2016, 26 (04) :835-866
[6]   Systemic risk in financial systems [J].
Eisenberg, L ;
Noe, TH .
MANAGEMENT SCIENCE, 2001, 47 (02) :236-249
[7]  
[Эль Битар Халил El Bitar Khalil], 2017, [Информатика и ее применения, Informatika i ee primeneniya], P109
[8]  
ELSINGER H., 2009, ESTERREICHISCHE NATI, V156
[9]   Financial contagion and asset liquidation strategies [J].
Feinstein, Zachary .
OPERATIONS RESEARCH LETTERS, 2017, 45 (02) :109-114
[10]   NO-ARBITRAGE PRICING UNDER SYSTEMIC RISK: ACCOUNTING FOR CROSS-OWNERSHIP [J].
Fischer, Tom .
MATHEMATICAL FINANCE, 2014, 24 (01) :97-124