Distress Propagation in Complex Networks: The Case of Non-Linear DebtRank.

We consider a dynamical model of distress propagation on complex networks, which we apply to the study of financial contagion in networks of banks connected to each other by direct exposures. The model that we consider is an extension of the DebtRank algorithm, recently introduced in the literature....

Full description

Bibliographic Details
Main Authors: Marco Bardoscia, Fabio Caccioli, Juan Ignacio Perotti, Gianna Vivaldo, Guido Caldarelli
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2016-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC5049783?pdf=render
_version_ 1819030410492903424
author Marco Bardoscia
Fabio Caccioli
Juan Ignacio Perotti
Gianna Vivaldo
Guido Caldarelli
author_facet Marco Bardoscia
Fabio Caccioli
Juan Ignacio Perotti
Gianna Vivaldo
Guido Caldarelli
author_sort Marco Bardoscia
collection DOAJ
description We consider a dynamical model of distress propagation on complex networks, which we apply to the study of financial contagion in networks of banks connected to each other by direct exposures. The model that we consider is an extension of the DebtRank algorithm, recently introduced in the literature. The mechanics of distress propagation is very simple: When a bank suffers a loss, distress propagates to its creditors, who in turn suffer losses, and so on. The original DebtRank assumes that losses are propagated linearly between connected banks. Here we relax this assumption and introduce a one-parameter family of non-linear propagation functions. As a case study, we apply this algorithm to a data-set of 183 European banks, and we study how the stability of the system depends on the non-linearity parameter under different stress-test scenarios. We find that the system is characterized by a transition between a regime where small shocks can be amplified and a regime where shocks do not propagate, and that the overall stability of the system increases between 2008 and 2013.
first_indexed 2024-12-21T06:29:43Z
format Article
id doaj.art-066e208cc6de41adad9ded1ecffc4fdb
institution Directory Open Access Journal
issn 1932-6203
language English
last_indexed 2024-12-21T06:29:43Z
publishDate 2016-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj.art-066e208cc6de41adad9ded1ecffc4fdb2022-12-21T19:13:01ZengPublic Library of Science (PLoS)PLoS ONE1932-62032016-01-011110e016382510.1371/journal.pone.0163825Distress Propagation in Complex Networks: The Case of Non-Linear DebtRank.Marco BardosciaFabio CaccioliJuan Ignacio PerottiGianna VivaldoGuido CaldarelliWe consider a dynamical model of distress propagation on complex networks, which we apply to the study of financial contagion in networks of banks connected to each other by direct exposures. The model that we consider is an extension of the DebtRank algorithm, recently introduced in the literature. The mechanics of distress propagation is very simple: When a bank suffers a loss, distress propagates to its creditors, who in turn suffer losses, and so on. The original DebtRank assumes that losses are propagated linearly between connected banks. Here we relax this assumption and introduce a one-parameter family of non-linear propagation functions. As a case study, we apply this algorithm to a data-set of 183 European banks, and we study how the stability of the system depends on the non-linearity parameter under different stress-test scenarios. We find that the system is characterized by a transition between a regime where small shocks can be amplified and a regime where shocks do not propagate, and that the overall stability of the system increases between 2008 and 2013.http://europepmc.org/articles/PMC5049783?pdf=render
spellingShingle Marco Bardoscia
Fabio Caccioli
Juan Ignacio Perotti
Gianna Vivaldo
Guido Caldarelli
Distress Propagation in Complex Networks: The Case of Non-Linear DebtRank.
PLoS ONE
title Distress Propagation in Complex Networks: The Case of Non-Linear DebtRank.
title_full Distress Propagation in Complex Networks: The Case of Non-Linear DebtRank.
title_fullStr Distress Propagation in Complex Networks: The Case of Non-Linear DebtRank.
title_full_unstemmed Distress Propagation in Complex Networks: The Case of Non-Linear DebtRank.
title_short Distress Propagation in Complex Networks: The Case of Non-Linear DebtRank.
title_sort distress propagation in complex networks the case of non linear debtrank
url http://europepmc.org/articles/PMC5049783?pdf=render
work_keys_str_mv AT marcobardoscia distresspropagationincomplexnetworksthecaseofnonlineardebtrank
AT fabiocaccioli distresspropagationincomplexnetworksthecaseofnonlineardebtrank
AT juanignacioperotti distresspropagationincomplexnetworksthecaseofnonlineardebtrank
AT giannavivaldo distresspropagationincomplexnetworksthecaseofnonlineardebtrank
AT guidocaldarelli distresspropagationincomplexnetworksthecaseofnonlineardebtrank