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This paper investigates two mechanisms of financial contagion that are, firstly, the correlated exposure of banks to the same source of risk, and secondly the direct exposure of banks in the interbank market. It will consider a random…

Computational Finance · Quantitative Finance 2016-03-15 Seyyed Mostafa Mousavi , Robert Mackay , Alistair Tucker

The aim of this paper is to propose a heterogeneous agent model of stock markets that develop complicated endogenous price fluctuations. We find occurrences of non-stationary chaos, or speculative bubble, are caused by the heterogeneity of…

Chaotic Dynamics · Physics 2013-09-11 Taisei Kaizoji

We consider the problem of optimal investment and consumption in a class of multidimensional jump-diffusion models in which asset prices are subject to mutually exciting jump processes. This captures a type of contagion where each downward…

Portfolio Management · Quantitative Finance 2012-10-08 Yacine Aït-Sahalia , T. R. Hurd

This work studies the effects of a weak notion of symmetry on diffusively-coupled multi-agent systems. We focus on networks comprised of agents and controllers which are maximally equilibrium independent passive, and show that these…

Systems and Control · Computer Science 2020-07-15 Miel Sharf , Daniel Zelazo

Episodes of market crashes have fascinated economists for centuries. Although many academics, practitioners and policy makers have studied questions related to collapsing asset price bubbles, there is little consensus yet about their causes…

Risk Management · Quantitative Finance 2008-12-15 T. Kaizoji , D. Sornette

We introduce a model for the loss distribution of a credit portfolio considering a contagion mechanism for the default of names which is the result of two independent components: an infection attempt generated by defaulting entities and a…

Pricing of Securities · Quantitative Finance 2026-01-22 Gabriele Torri , Rosella Giacometti , Gianluca Farina

The DebtRank algorithm has been increasingly investigated as a method to estimate the impact of shocks in financial networks, as it overcomes the limitations of the traditional default-cascade approaches. Here we formulate a dynamical…

Risk Management · Quantitative Finance 2018-11-21 Marco Bardoscia , Stefano Battiston , Fabio Caccioli , Guido Caldarelli

We propose a model and an estimation technique to distinguish systemic risk and contagion in credit risk. The main idea is to assume, for a set of $d$ obligors, a set of $d$ idiosyncratic shocks and a shock that triggers the default of all…

Mathematical Finance · Quantitative Finance 2015-02-09 Umberto Cherubini , Sabrina Mulinacci

It is always a challenging task to service sudden events in non-convex and uncertain environments, and multi-agent coverage control provides a powerful theoretical framework to investigate the deployment problem of mobile robotic networks…

Optimization and Control · Mathematics 2022-09-07 Chao Zhai , Pengyang Fan

This paper deals with the stability properties of a closed market, where capital and labour force are acting like a predator-prey system in population-dynamics. The spatial movement of the capital and labour force are taken into account by…

Dynamical Systems · Mathematics 2013-02-19 Laszlo Balazsi , Krisztina Kiss

This paper investigates the finite horizon risk-sensitive portfolio optimization in a regime-switching credit market with physical and information-induced default contagion. It is assumed that the underlying regime-switching process has…

Portfolio Management · Quantitative Finance 2021-07-28 Lijun Bo , Huafu Liao , Xiang Yu

We set up a structural model to study credit risk for a portfolio containing several or many credit contracts. The model is based on a jump--diffusion process for the risk factors, i.e. for the company assets. We also include correlations…

Risk Management · Quantitative Finance 2008-12-02 Rudi Schäfer , Markus Sjölin , Andreas Sundin , Michal Wolanski , Thomas Guhr

Operational disruptions in retail payments can induce behavioral responses that outlast technical recovery and may amplify liquidity stress. We propose a multi-agent model linking card payment outages to trust dynamics, channel avoidance,…

Computer Science and Game Theory · Computer Science 2026-02-19 Masoud Amouzgar

This paper addresses the problem of collaborative formation control for multi-agent systems with limited resources. We consider a team of robots tasked with achieving a desired formation from an arbitrary initial configuration. To reduce…

Robotics · Computer Science 2026-04-07 Evangelos Psomiadis , Panagiotis Tsiotras

A class of heterogeneous agent models is investigated where investors switch trading position whenever their motivation to do so exceeds some critical threshold. These motivations can be psychological in nature or reflect behaviour…

Computational Physics · Physics 2009-11-13 R. Cross , M. Grinfeld , H. Lamba , T. Seaman

Fire sales are among the major drivers of market instability in modern financial systems. Due to iterated distressed selling and the associated price impact, initial shocks to some institutions can be amplified dramatically through the…

Risk Management · Quantitative Finance 2021-11-03 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

We develop a finite horizon continuous time market model, where risk averse investors maximize utility from terminal wealth by dynamically investing in a risk-free money market account, a stock written on a default-free dividend process,…

Pricing of Securities · Quantitative Finance 2011-12-23 Agostino Capponi , Martin Larsson

The Agentic Service Ecosystem consists of heterogeneous autonomous agents (e.g., intelligent machines, humans, and human-machine hybrid systems) that interact through resource exchange and service co-creation. These agents, with distinct…

Multiagent Systems · Computer Science 2025-08-12 Xuwen Zhang , Xiao Xue , Xia Xie , Qun Ma , Xiangning Yu , Deyu Zhou , Yifan Wang , Ming Zhang

Epidemic spreading often occurs in spatially heterogeneous environments, yet how quenched heterogeneity reshapes its onset and critical dynamics remains poorly understood. The diffusive epidemic process, a minimal reaction-diffusion model…

Statistical Mechanics · Physics 2026-03-24 Valentin Anfray , Hong-Yan Shih

We investigate the benefits of heterogeneity in multi-agent explore-exploit decision making where the goal of the agents is to maximize cumulative group reward. To do so we study a class of distributed stochastic bandit problems in which…

Optimization and Control · Mathematics 2020-12-03 Udari Madhushani , Naomi Leonard