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Self-similar processes are useful in modeling diverse phenomena that exhibit scaling properties. Operator scaling allows a different scale factor in each coordinate. This paper develops practical methods for modeling and simulating…

Probability · Mathematics 2009-12-25 Serge Cohen , Mark M. Meerschaert , Jan Rosinski

We study the effect of liquidity freezes on an economic agent optimizing her utility of consumption in a perturbed Black-Scholes-Merton model. The single risky asset follows a geometric Brownian motion but is subject to liquidity shocks,…

Portfolio Management · Quantitative Finance 2010-09-30 Michael Ludkovski , Hyekyung Min

We discuss the impact of a Covid-19--like shock on a simple model economy, described by the previously developed Mark-0 Agent-Based Model. We consider a mixed supply and demand shock, and show that depending on the shock parameters…

General Economics · Economics 2021-04-22 Dhruv Sharma , Jean-Philippe Bouchaud , Stanislao Gualdi , Marco Tarzia , Francesco Zamponi

We present a novel microscopic stock market model consisting of a large number of random agents modeling traders in a market. Each agent is characterized by a set of parameters that serve to make iterated predictions of two successive…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 R. Rothenstein , K. Pawelzik

The dual crises of the sub-prime mortgage crisis and the global financial crisis has prompted a call for explanations of non-equilibrium market dynamics. Recently a promising approach has been the use of agent based models (ABMs) to…

General Economics · Economics 2018-09-06 Michael S. Harré

Large Language Models (LLMs) are increasingly being used to simulate human-like decision making in agent-based financial market models (ABMs). As models become more powerful and accessible, researchers can now incorporate individual LLM…

Machine Learning · Computer Science 2025-01-29 Alicia Vidler , Toby Walsh

Housing markets are inherently spatial, yet many existing models fail to capture this spatial dimension. Here we introduce a new graph-based approach for incorporating a spatial component in a large-scale urban housing agent-based model…

Computational Finance · Quantitative Finance 2021-03-25 Benjamin Patrick Evans , Kirill Glavatskiy , Michael S. Harré , Mikhail Prokopenko

Different agents need to make a prediction. They observe identical data, but have different models: they predict using different explanatory variables. We study which agent believes they have the best predictive ability -- as measured by…

Theoretical Economics · Economics 2023-02-01 Jose Luis Montiel Olea , Pietro Ortoleva , Mallesh M Pai , Andrea Prat

In light of the growing interest in agent-based market models, we bring together several earlier works in which we considered the topic of self-consistent market modelling. Building upon the binary game structure of Challet and Zhang, we…

Disordered Systems and Neural Networks · Physics 2008-12-02 Paul Jefferies , Neil F. Johnson

Artificial stock market simulation based on agent is an important means to study financial market. Based on the assumption that the investors are composed of a main fund, small trend and contrarian investors characterized by four…

Trading and Market Microstructure · Quantitative Finance 2021-09-22 Yong Shi , Bo Li , Guangle Du

Interest in agent-based models of financial markets and the wider economy has increased consistently over the last few decades, in no small part due to their ability to reproduce a number of empirically-observed stylised facts that are not…

Computational Finance · Quantitative Finance 2019-02-18 Donovan Platt

Simulation serves as a third way of doing science, in contrast to both induction and deduction. The web based modeling may considerably facilitate the execution of simulations by other people. We present examples of agent-based and…

Physics and Society · Physics 2011-04-15 V. Daniunas , V. Gontis , A. Kononovicius

Recent technological developments have changed the fundamental ways stock markets function, bringing regulatory instances to assess the benefits of these developments. In parallel, the ongoing machine learning revolution and its multiple…

Trading and Market Microstructure · Quantitative Finance 2023-02-09 Johann Lussange , Boris Gutkin

We review some statistical many-agent models of economic and social systems inspired by microscopic molecular models and discuss their stochastic interpretation. We apply these models to wealth exchange in economics and study how the…

Physics and Society · Physics 2013-03-19 Marco Patriarca , Anirban Chakraborti , Els Heinsalu , Guido Germano

Taking the European Central Bank unconventional policies as a reference, we suggest a class of Multiplicative Error Models (MEM) taylored to analyze the impact such policies have on stock market volatility. The new set of models, called MEM…

Statistical Finance · Quantitative Finance 2021-03-26 Demetrio Lacava , Giampiero M. Gallo , Edoardo Otranto

The application of Reinforcement Learning (RL) to economic modeling reveals a fundamental conflict between the assumptions of equilibrium theory and the emergent behavior of learning agents. While canonical economic models assume atomistic…

General Economics · Economics 2025-10-21 Ruxin Chen , Zeqiang Zhang

In the face of the upcoming 30th anniversary of econophysics, we review our contributions and other related works on the modeling of the long-range memory phenomenon in physical, economic, and other social complex systems. Our group has…

Physics and Society · Physics 2021-08-31 Rytis Kazakevicius , Aleksejus Kononovicius , Bronislovas Kaulakys , Vygintas Gontis

An agent-based model for firms' dynamics is developed. The model consists of firm agents with identical characteristic parameters and a bank agent. Dynamics of those agents is described by their balance sheets. Each firm tries to maximize…

General Finance · Quantitative Finance 2009-01-14 Hiroshi Iyetomi , Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Wataru Souma

We consider a network of interacting agents and we model the process of choice on the adoption of a given innovative product by means of statistical-mechanics tools. The modelization allows us to focus on the effects of direct interactions…

Physics and Society · Physics 2015-02-24 Paolo Sgrignoli , Elena Agliari , Raffaella Burioni , Augusto Schianchi

Interactive large language model (LLM) agents operating via multi-turn dialogue and multi-step tool calling are increasingly used in production. Benchmarks for these agents must both reliably compare models and yield on-policy training…