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Interpreting data with mathematical models is an important aspect of real-world industrial and applied mathematical modeling. Often we are interested to understand the extent to which a particular set of data informs and constrains model…

Methodology · Statistics 2025-03-06 Matthew J Simpson , Ruth E Baker

Model merging has achieved significant success, with numerous innovative methods proposed to enhance capabilities by combining multiple models. However, challenges persist due to the lack of a unified framework for classification and…

Machine Learning · Computer Science 2025-03-13 Wei Ruan , Tianze Yang , Yifan Zhou , Tianming Liu , Jin Lu

We propose a simple market model where agents trade different types of products with each other by using money, relying only on local information. Value fluctuations of single products, combined with the condition of maximum profit in…

Condensed Matter · Physics 2015-06-24 Raul Donangelo , Alex Hansen , Kim Sneppen , Sergio R. Souza

A prototype model of stock market is introduced and studied numerically. In this self-organized system, we consider only the interaction among traders without external influences. Agents trade according to their own strategy, to accumulate…

Statistical Mechanics · Physics 2009-10-30 G. Caldarelli , M. Marsili , Y. -C. Zhang

Practical model building processes are often time-consuming because many different models must be trained and validated. In this paper, we introduce a novel algorithm that can be used for computing the lower and the upper bounds of model…

Machine Learning · Statistics 2014-02-11 Yoshiki Suzuki , Kohei Ogawa , Yuki Shinmura , Ichiro Takeuchi

Standard regularized training procedures correspond to maximizing a posterior distribution over parameters, known as maximum a posteriori (MAP) estimation. However, model parameters are of interest only insomuch as they combine with the…

Machine Learning · Computer Science 2023-11-28 Shikai Qiu , Tim G. J. Rudner , Sanyam Kapoor , Andrew Gordon Wilson

Rather than directly predicting future prices or returns, we follow a more recent trend in asset management and classify the state of a market based on labels. We use numerous standard labels and even construct our own ones. The labels rely…

Trading and Market Microstructure · Quantitative Finance 2020-12-08 Michal Balcerak , Thomas Schmelzer

Securities markets are quintessential complex adaptive systems in which heterogeneous agents compete in an attempt to maximize returns. Species of trading agents are also subject to evolutionary pressure as entire classes of strategies…

Neural and Evolutionary Computing · Computer Science 2019-12-23 David Rushing Dewhurst , Yi Li , Alexander Bogdan , Jasmine Geng

We describe a bottom-up framework, based on the identification of appropriate order parameters and determination of phase diagrams, for understanding progressively refined agent-based models and simulations of financial markets. We…

Trading and Market Microstructure · Quantitative Finance 2015-06-04 Ribin Lye , James Peng Lung Tan , Siew Ann Cheong

Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are…

Trading and Market Microstructure · Quantitative Finance 2025-12-04 Manuel Naviglio , Giacomo Bormetti , Francesco Campigli , German Rodikov , Fabrizio Lillo

Algorithmic trading, due to its inherent nature, is a difficult problem to tackle; there are too many variables involved in the real world which make it almost impossible to have reliable algorithms for automated stock trading. The lack of…

Artificial Intelligence · Computer Science 2020-01-28 Abhishek Nan , Anandh Perumal , Osmar R. Zaiane

Bilateral bargaining under incomplete information provides a controlled testbed for evaluating large language model (LLM) agent capabilities. Bilateral trade demands individual rationality, strategic surplus maximization, and cooperation to…

Computer Science and Game Theory · Computer Science 2026-04-21 Dirk Bergemann , Soheil Ghili , Xinyang Hu , Chuanhao Li , Zhuoran Yang

We present a general class of machine learning algorithms called parametric matrix models. In contrast with most existing machine learning models that imitate the biology of neurons, parametric matrix models use matrix equations that…

Machine Learning · Computer Science 2025-01-07 Patrick Cook , Danny Jammooa , Morten Hjorth-Jensen , Daniel D. Lee , Dean Lee

In this dissertation two simple models of stock exchange are developed and simulated numerically. The first is characterized by centralized trading with a market maker. Unfortunately, this model is unable to generate realistic market…

Statistical Mechanics · Physics 2008-12-02 Hendrik J. Blok

This study explores the potential of large language models (LLMs) to conduct market experiments, aiming to understand their capability to comprehend competitive market dynamics. We model the behavior of market agents in a controlled…

Human-Computer Interaction · Computer Science 2024-11-04 Jingru Jia , Zehua Yuan

We present a novel agent-based approach to simulating an over-the-counter (OTC) financial market in which trades are intermediated solely by market makers and agent visibility is constrained to a network topology. Dynamics, such as changes…

Econometrics · Economics 2024-05-07 James T. Wilkinson , Jacob Kelter , John Chen , Uri Wilensky

In most OTC markets, a small number of market makers provide liquidity to other market participants. More precisely, for a list of assets, they set prices at which they agree to buy and sell. Market makers face therefore an interesting…

Trading and Market Microstructure · Quantitative Finance 2022-09-22 Philippe Bergault , Olivier Guéant

Many pre-trained models (PTMs) are available in modern applications. Because different PTMs are often trained on different datasets, their performances can vary substantially for different new tasks, and the ranking of the candidates may…

Methodology · Statistics 2026-05-14 Ziwen Gao , Baihua He , Yuhong Yang

Large models have shown unprecedented capabilities in natural language processing, image generation, and most recently, time series forecasting. This leads us to ask the question: treating market prices as a time series, can large models be…

Computational Finance · Quantitative Finance 2024-12-16 Xinghong Fu , Masanori Hirano , Kentaro Imajo

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant