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The theory of multilayer networks is in its early stages, and its development provides vital methods for understanding complex systems. Multilayer networks, in their multiplex form, have been introduced within the last three years to…

Computational Finance · Quantitative Finance 2017-04-04 Antoaneta Serguieva

Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic networks to consider the changes of node "importance" produced…

Mathematical Finance · Quantitative Finance 2020-06-05 Paolo Bartesaghi , Michele Benzi , Gian Paolo Clemente , Rosanna Grassi , Ernesto Estrada

The process of contagiousness spread modelling is well-known in epidemiology. However, the application of spread modelling to banking market is quite recent. In this work, we present a system of ordinary differential equations, simulating…

Optimization and Control · Mathematics 2018-02-19 Olena Kostylenko , Helena Sofia Rodrigues , Delfim F. M. Torres

Simulation with agent-based models is increasingly used in the study of complex socio-technical systems and in social simulation in general. This paradigm offers a number of attractive features, namely the possibility of modeling emergent…

Physics and Society · Physics 2015-10-27 Giovanni Luca Ciampaglia

We study the formation of an optimal interbank network in a model where banks control both their supply of liquidity, through cash reserves, and their exposures to other banks' risky projects. The value of each bank's project may suddenly…

Mathematical Finance · Quantitative Finance 2024-10-08 Daniel E. Rigobon , Ronnie Sircar

We model a network economy with three sectors: downstream firms, upstream firms, and banks. Agents are linked by productive and credit relationships so that the behavior of one agent influences the behavior of the others through network…

General Finance · Quantitative Finance 2010-06-18 Domenico Delli Gatti , Mauro Gallegati , Bruce Greenwald , Alberto Russo , Joseph E. Stiglitz

We develop a structural default model for interconnected financial institutions in a probabilistic framework. For all possible network structures we characterize the joint default distribution of the system using Bayesian network…

Risk Management · Quantitative Finance 2018-07-02 Carsten Chong , Claudia Klüppelberg

Stochastic models in which agents interact with their neighborhood according to a network topology are a powerful modeling framework to study the emergence of complex dynamic patterns in real-world systems. Stochastic simulations are often…

Social and Information Networks · Computer Science 2021-01-27 Gerrit Großmann , Luca Bortolussi , Verena Wolf

Networks provide a skeleton for the spread of contagions, like, information, ideas, behaviors and diseases. Many times networks over which contagions diffuse are unobserved and need to be inferred. Here we apply survival theory to develop…

Social and Information Networks · Computer Science 2013-05-17 Manuel Gomez Rodriguez , Jure Leskovec , Bernhard Schoelkopf

In this paper, we present a model of a trust-based recommendation system on a social network. The idea of the model is that agents use their social network to reach information and their trust relationships to filter it. We investigate how…

Adaptation and Self-Organizing Systems · Physics 2008-09-07 Frank E. Walter , Stefano Battiston , Frank Schweitzer

Systemic risk in banking systems remains a crucial issue that it has not been completely understood. In our toy model, banks are exposed to two sources of risks, namely, market risk from their investments in assets external to the banking…

Risk Management · Quantitative Finance 2017-02-24 Aki-Hiro Sato , Paolo Tasca , Takashi Isogai

Aggregate and systemic risk in complex systems are emergent phenomena depending on two properties: the idiosyncratic risks of the elements and the topology of the network of interactions among them. While a significant attention has been…

Social and Information Networks · Computer Science 2018-09-25 Elisa Letizia , Fabrizio Lillo

Networks are at the core of modeling many engineering contexts, mainly in the case of infrastructures and communication systems. The resilience of a network, which is the property of the system capable of absorbing external shocks, is then…

Social and Information Networks · Computer Science 2019-03-28 Roy Cerqueti , Giovanna Ferraro , Antonio Iovanella

Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially describe the state of the system through network motifs and infer any missing data using the available information. This versatile approach…

We have conducted an agent-based simulation of chain bankruptcy. The propagation of credit risk on a network, i.e., chain bankruptcy, is the key to nderstanding largesized bankruptcies. In our model, decrease of revenue by the loss of…

General Finance · Quantitative Finance 2008-12-02 Yuichi Ikeda , Yoshi Fujiwara , Wataru Souma , Hideaki Aoyama , Hiroshi Iyetomi

Financial crises emerge when structural vulnerabilities accumulate across sectors, markets, and investor behavior. Predicting these systemic transitions is challenging because they arise from evolving interactions between market…

Risk Management · Quantitative Finance 2025-12-22 Sandeep Neela

Existing network simulations often rely on simplistic models that send packets at random intervals, failing to capture the critical role of application-level behaviour. This paper presents a statistical approach that extracts and models…

Networking and Internet Architecture · Computer Science 2025-02-04 Murugaraj Odiathevar , Kim Chung Yup

The insufficient understanding of the credit network structure was recognized as a key factor for regulators' underestimation of the destructive systematic risk during the financial crisis that started in 2007. The existing credit network…

Risk Management · Quantitative Finance 2018-12-05 Xuan Lu , Li Huang , Kangjuan Lyu

Theoretical frameworks to estimate the tolerance of metabolic networks to various failures are important to evaluate the robustness of biological complex systems in systems biology. In this paper, we focus on a measure for robustness in…

Molecular Networks · Quantitative Biology 2011-10-18 Kazuhiro Takemoto , Takeyuki Tamura , Yang Cong , Wai-Ki Ching , Jean-Philippe Vert , Tatsuya Akutsu

Inspired by recent ideas on how the analysis of complex financial risks can benefit from analogies with independent research areas, we propose an unorthodox framework for mapping microfinance credit risk---a major obstacle to the…

Risk Management · Quantitative Finance 2018-11-21 Joung-Hun Lee , Marko Jusup , Boris Podobnik , Yoh Iwasa