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The mean field games (MFG) paradigm was introduced to provide tractable approximations of games involving very large populations. The theory typically rests on two key assumptions: homogeneity, meaning that all players share the same…

Optimization and Control · Mathematics 2025-11-10 Mathieu Laurière

This article reviews a few basic features of systems of one-dimensional diffusions with rank-based characteristics. Such systems arise in particular in the modelling of financial markets , where they go by the name of Atlas models. We…

Probability · Mathematics 2017-05-24 Julien Reygner

We propose a model with heterogeneous interacting traders which can explain some of the stylized facts of stock market returns. In the model synchronization effects, which generate large fluctuations in returns, can arise either from an…

adap-org · Physics 2007-05-23 Giulia Iori

This paper investigates how similarity in the informational representation of market states among Artificial Intelligence (AI) trading agents can generate systemic instability in financial markets. We construct a structural multi-agent…

Trading and Market Microstructure · Quantitative Finance 2026-04-28 Yimeng Qiu , Qiwei Han

Financial models do not merely analyse markets, but actively shape them. This effect, known as performativity, describes how financial theories and the subsequent actions based on them influence market processes, by creating self-fulfilling…

Trading and Market Microstructure · Quantitative Finance 2026-02-19 Charalampos Kleitsikas , Stefanos Leonardos , Carmine Ventre

Two kinetic exchange models are proposed to explore the dynamics of closed economic markets characterized by random exchanges, saving propensities, and collective transactions. Model I simulates a system where individual transactions occur…

Cellular Automata and Lattice Gases · Physics 2025-02-20 Chuandong Lin , Lijie Cui

Interbank lending and borrowing occur when financial institutions seek to settle and refinance their mutual positions over time and circumstances. This interactive process involves money creation at the aggregate level. Coordination…

General Finance · Quantitative Finance 2021-09-27 Yuri Biondi , Feng Zhou

We study consumption behaviour in systems with heterogeneous interacting agents. Two different models are introduced, respectively with long and short range interactions among agents. At any time step an agent decides whether or not to…

Statistical Mechanics · Physics 2008-12-02 Giulia Iori , Vassilis Koulovassilopoulos

We propose a Markov jump process with the three-state herding interaction. We see our approach as an agent-based model for the financial markets. Under certain assumptions this agent-based model can be related to the stochastic description…

Trading and Market Microstructure · Quantitative Finance 2013-02-05 Aleksejus Kononovicius , Vygintas Gontis

A model of open economics composed of producers and speculators is investigated by numerical simulations. The capital flows from the environment to the producers and from them to the speculators. The price fluctuations are suppressed by the…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina , Yi-Cheng Zhang

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

Dynamical complex systems composed of interactive heterogeneous agents are prevalent in the world, including urban traffic systems and social networks. Modeling the interactions among agents is the key to understanding and predicting the…

Multiagent Systems · Computer Science 2024-10-30 Siyuan Chen , Jiahai Wang

In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes…

Physics and Society · Physics 2013-09-11 Taisei Kaizoji

We present a simplified model for the exploitation of finite resources by interacting agents, where each agent receives a random fraction of the available resources. An extremal dynamics ensures that the poorest agent has a chance to change…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 S. Pianegonda , J. R. Iglesias , G. Abramson , J. L. Vega

This paper presents macroeconomic model that is based on parallels between macroeconomic multi-agent systems and multi-particle systems. We use risk ratings of economic agents as their coordinates on economic space. Aggregates of economic…

Economics · Quantitative Finance 2017-01-25 Victor Olkhov

We derive a system of stochastic differential equations simulating the dynamics of the three agent groups with herding interaction. Proposed approach can be valuable in the modeling of the complex socio-economic systems with similar…

Statistical Finance · Quantitative Finance 2018-10-17 Vygintas Gontis , Aleksejus Kononovicius

We present a simple model of firm rating evolution. We consider two sources of defaults: individual dynamics of economic development and Potts-like interactions between firms. We show that such a defined model leads to phase transition,…

Risk Management · Quantitative Finance 2015-05-13 Paweł Sieczka , Janusz A. Hołyst

We discuss a method for predicting financial movements and finding pockets of predictability in the price-series, which is built around inferring the heterogeneity of trading strategies in a multi-agent trader population. This work explores…

Computational Engineering, Finance, and Science · Computer Science 2015-05-13 Nachi Gupta , Raphael Hauser , Neil F. Johnson

We define and study a rather complex market model, inspired from the Santa Fe artificial market and the Minority Game. Agents have different strategies among which they can choose, according to their relative profitability, with the…

Condensed Matter · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud

In recent years, the application of generative artificial intelligence (GenAI) in financial analysis and investment decision-making has gained significant attention. However, most existing approaches rely on single-agent systems, which fail…

Artificial Intelligence · Computer Science 2024-11-08 Xuewen Han , Neng Wang , Shangkun Che , Hongyang Yang , Kunpeng Zhang , Sean Xin Xu