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Polarization is a well-documented phenomenon across a wide range of social issues. However, prevailing theories often compartmentalize the examination of herding behavior and opinion convergence within different contexts. In this study, we…

Theoretical Economics · Economics 2024-05-03 Ugo Bolletta , Paolo Pin

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 study how idiosyncratic firm-level shocks generate aggregate volatility and tail risk when they propagate through a production network under overlapping adjustment: new productivity draws arrive before the economy reaches the static…

Theoretical Economics · Economics 2026-03-06 Antoine Mandel , Vipin P. Veetil

We investigate an epidemiological model that incorporates waning of immunity at the individual level and boosting of the immune system upon re-exposure to the pathogen. When immunity is fully restored upon boosting, the system can be…

Dynamical Systems · Mathematics 2025-08-05 Francesca Scarabel , Mónika Polner , Daniel Wylde , Maria Vittoria Barbarossa , Gergely Röst

The interbank market is considered one of the most important channels of contagion. Its network representation, where banks and claims/obligations are represented by nodes and links (respectively), has received a lot of attention in the…

General Finance · Quantitative Finance 2015-01-26 Leonardo Bargigli , Giovanni di Iasio , Luigi Infante , Fabrizio Lillo , Federico Pierobon

The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation patterns among stock prices. Over the past few decades, complex financial markets have…

Statistical Finance · Quantitative Finance 2021-02-02 Areejit Samal , Hirdesh K. Pharasi , Sarath Jyotsna Ramaia , Harish Kannan , Emil Saucan , Jürgen Jost , Anirban Chakraborti

In the last years efforts in econophysics have been shifted to study how network theory can facilitate understanding of complex financial markets. Main part of these efforts is the study of correlation-based hierarchical networks. This is…

Statistical Finance · Quantitative Finance 2014-06-18 Paweł Fiedor

Spiking activity in cortical networks is nonlinear in nature. The linear-nonlinear cascade model, some versions of which are also known as point-process generalized linear model, can efficiently capture the nonlinear dynamics exhibited by…

Neurons and Cognition · Quantitative Biology 2020-01-16 Michael Kordovan , Stefan Rotter

We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming that the network remodelling process is very fast, the…

We present a model describing the competition between information transmission and decision making in financial markets. The solution of this simple model is recalled, and possible variations discussed. It is shown numerically that despite…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 R. D'Hulst , G. J. Rodgers

Effective risk control must make a tradeoff between the microprudential risk of exogenous shocks to individual institutions and the macroprudential risks caused by their systemic interactions. We investigate a simple dynamical model for…

Economics · Quantitative Finance 2015-07-16 Christoph Aymanns , Fabio Caccioli , J. Doyne Farmer , Vincent W. C. Tan

Interbank deposits (loans and credits) are quite common in banking system all over the world. Such interbank co-operation is profitable for banks but it can also lead to collective financial failures. In this paper we introduce a new model…

Statistical Mechanics · Physics 2009-11-07 A. Aleksiejuk , J. A. Holyst

The saddle-node bifurcation on an invariant circle (SNIC) is one of the codimension-one routes to creation or destruction of a periodic orbit in a continuous-time dynamical system. It governs the transition from resting behaviour to…

Dynamical Systems · Mathematics 2015-06-17 Claude Baesens , Robert S. MacKay

In this paper, simple mathematical models from Control Theory are applied to three very important economic paradigms, namely (a) minimum wages in self-regulating markets, (b) market-versus-true values and currency rates, and (c) government…

General Finance · Quantitative Finance 2013-03-26 Harris V. Georgiou

Polarization issue is generally subject to ideological polarization and affective polarization. In particular, affective polarization usually accelerates the polarization process and transform social interactions into a zero-sum game. Yet,…

Physics and Society · Physics 2023-04-27 Peng-Bi Cui

We propose an interacting particle system to model the evolution of a system of banks with mutual exposures. In this model, a bank defaults when its normalized asset value hits a lower threshold, and its default causes instantaneous losses…

Probability · Mathematics 2017-05-03 Sergey Nadtochiy , Mykhaylo Shkolnikov

This paper analyzes nonlinearities in the international transmission of financial shocks originating in the US. To do so, we develop a flexible nonlinear multi-country model. Our framework is capable of producing asymmetries in the…

We consider a tick-by-tick model of price formation, in which buy and sell orders are modeled as self-exciting point processes (Hawkes process), similar to the one in [Bacry, Delattre, Hoffmann, Muzy, Modelling microstructure noise with…

Mathematical Finance · Quantitative Finance 2026-03-27 Paolo Dai Pra , Paolo Pigato

The intermarket analysis, in particular the lead-lag relationship, plays an important role within financial markets. Therefore a mathematical approach to be able to find interrelations between the price development of two different…

Statistical Finance · Quantitative Finance 2015-04-24 Stanislaus Maier-Paape , Andreas Platen

Tracking the build-up of financial vulnerabilities is a key component of financial stability policy. Due to the complexity of the financial system, this task is daunting, and there have been several proposals on how to manage this goal. One…

Statistical Finance · Quantitative Finance 2024-12-19 Katalin Varga , Tibor Szendrei
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