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A minimal stochastic dynamical model of the interbank network is introduced, with linear interactions mediated by an integral of recent variations. Defining stress as the variance over the banks' states, the interaction correction to the…

Mathematical Finance · Quantitative Finance 2023-11-30 Andrea Auconi

One of the most defining features of the global financial network is its inherent complex and intertwined structure. From the perspective of systemic risk it is important to understand the influence of this network structure on default…

Risk Management · Quantitative Finance 2019-12-11 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

Given a set of snapshots from a temporal network we develop, analyze, and experimentally validate a so-called network interpolation scheme. Our method allows us to build a plausible, albeit random, sequence of graphs that transition between…

Social and Information Networks · Computer Science 2021-02-22 Thomas Reeves , Anil Damle , Austin R. Benson

Reconstructing network connectivity from the collective dynamics of a system typically requires access to its complete continuous-time evolution although these are often experimentally inaccessible. Here we propose a theory for revealing…

Neurons and Cognition · Quantitative Biology 2018-08-08 Jose Casadiego , Dimitra Maoutsa , Marc Timme

In discrete-time dynamics, it is frequently assumed that the transition probabilities (e.g., the recovery probability) are independent of the network structure. However, there is a lack of empirical evidence to support this claim in large…

Physics and Society · Physics 2025-10-27 Chao-Ran Cai , Dong-Qian Cai

We introduce a general model for the balance-sheet consistent valuation of interbank claims within an interconnected financial system. Our model represents an extension of clearing models of interdependent liabilities to account for the…

Risk Management · Quantitative Finance 2020-06-03 Paolo Barucca , Marco Bardoscia , Fabio Caccioli , Marco D'Errico , Gabriele Visentin , Guido Caldarelli , Stefano Battiston

Network renormalization has traditionally relied on spatial adjacency-grouping nearby nodes together, but this approach fails to capture the dynamical correlations that govern system-wide behavior in scale-free networks. We present a…

Physics and Society · Physics 2025-10-21 Cook Hyun Kim , B. Kahng

Reciprocity in social networks helps understand information exchange between two individuals, and indicates interaction patterns between pairs of users. A recent study indicates the reciprocity coefficient of a classical directed…

Physics and Society · Physics 2022-01-12 Daniel Cirkovic , Tiandong Wang , Sidney Resnick

Over the last few years, network science has proved to be useful in modeling a variety of complex systems, composed of a large number of interconnected units. The intricate pattern of interactions often allows the system to achieve complex…

Physics and Society · Physics 2024-05-30 Jean-François de Kemmeter , Timoteo Carletti

Links in most real networks often change over time. Such temporality of links encodes the ordering and causality of interactions between nodes and has a profound effect on network dynamics and function. Empirical evidences have shown that…

Social and Information Networks · Computer Science 2020-07-10 Disheng Tang , Wenbo Du , Louis Shekhtman , Yijie Wang , Shlomo Havlin , Xianbin Cao , Gang Yan

We demonstrate using multi-layered networks, the existence of an empirical linkage between the dynamics of the financial network constructed from the market indices and the macroeconomic networks constructed from macroeconomic variables…

General Economics · Economics 2019-03-18 Kiran Sharma , Anindya S. Chakrabarti , Anirban Chakraborti

We propose a minimal model of the secured interbank network able to shed light on recent money markets puzzles. We find that excess liquidity emerges due to the interactions between the reserves and liquidity ratio constraints; the…

General Economics · Economics 2024-10-25 Victor Le Coz , Michael Benzaquen , Damien Challet

The characterization of various properties of real-world systems requires the knowledge of the underlying network of connections among the system's components. Unfortunately, in many situations the complete topology of this network is…

Physics and Society · Physics 2026-04-20 Valerio Gemmetto , Diego Garlaschelli

Propagation of balance-sheet or cash-flow insolvency across financial institutions may be modeled as a cascade process on a network representing their mutual exposures. We derive rigorous asymptotic results for the magnitude of contagion in…

Risk Management · Quantitative Finance 2014-03-26 Hamed Amini , Rama Cont , Andreea Minca

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

Social and Information Networks · Computer Science 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

Reciprocity is a second-order correlation that has been recently detected in all real directed networks and shown to have a crucial effect on the dynamical processes taking place on them. However, no current theoretical model generates…

Disordered Systems and Neural Networks · Physics 2007-05-23 Diego Garlaschelli , Maria I. Loffredo

The question of how to stabilize financial systems has attracted considerable attention since the global financial crisis of 2007-2009. Recently, Beale et al. ("Individual versus systemic risk and the regulator's dilemma", Proc Natl Acad…

Risk Management · Quantitative Finance 2014-01-30 Teruyoshi Kobayashi

The interconnectedness of financial institutions affects instability and credit crises. To quantify systemic risk we introduce here the PD model, a dynamic model that combines credit risk techniques with a contagion mechanism on the network…

Computational Finance · Quantitative Finance 2018-04-10 Daniele Petrone , Vito Latora

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…

Risk Management · Quantitative Finance 2016-10-05 Marco Bardoscia , Fabio Caccioli , Juan Ignacio Perotti , Gianna Vivaldo , Guido Caldarelli

We study the difference between the level of systemic risk that is empirically measured on an interbank network and the risk that can be deduced from the balance sheets composition of the participating banks. Using generalised DebtRank…

Risk Management · Quantitative Finance 2022-09-07 Alessandro Ferracci , Giulio Cimini
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