CLEARING IN FINANCIAL NETWORKS

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TitreCLEARING IN FINANCIAL NETWORKS
Type de publicationJournal Article
Year of Publication2018
AuteursKabanov YM, Mokbel R., Bitar KEl
JournalTHEORY OF PROBABILITY AND ITS APPLICATIONS
Volume62
Pagination252-277
Type of ArticleArticle
ISSN0040-585X
Mots-clésclearing, financial networks, Knaster-Tarski theorem, systemic risk
Résumé

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 \textbackslashar=r\textbackslash R-d is a mapping defined via stochastic and substochastic matrices. Some algorithms of calculations of fixed points are discussed.

DOI10.1137/S0040585X97T988599