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In this paper, we study a class of first-order mean-field games (MFGs) that model price formation. Using Poincar{\'e} Lemma, we eliminate one of the equations and obtain a variational problem for a single function. This variational problem…

Analysis of PDEs · Mathematics 2022-04-05 Yuri Ashrafyan , Tigran Bakaryan , Diogo Gomes , Julian Gutierrez

Here, we examine a fully-discrete Semi-Lagrangian scheme for a mean-field game price formation model. We show the existence of the solution of the discretized problem and that it is monotone as a multivalued operator. Moreover, we show that…

Numerical Analysis · Mathematics 2025-01-31 Yuri Ashrafyan , Diogo Gomes

In this paper, we study the contextual dynamic pricing problem where the market value of a product is linear in its observed features plus some market noise. Products are sold one at a time, and only a binary response indicating success or…

Machine Learning · Computer Science 2022-05-05 Jianqing Fan , Yongyi Guo , Mengxin Yu

Agents attempt to maximize expected profits earned by selling multiple units of a perishable product where their revenue streams are affected by the prices they quote as well as the distribution of other prices quoted in the market by other…

Trading and Market Microstructure · Quantitative Finance 2025-04-16 Ryan Donnelly , Zi Li

We study the price-setting problem of market makers under risk neutrality and perfect competition in continuous time. Thereby we follow the classic Glosten-Milgrom model that defines bid and ask prices as expectations of a true value of the…

Trading and Market Microstructure · Quantitative Finance 2012-10-16 Christoph Kühn , Matthias Riedel

We describe a machine learning method for predicting the value of a real-valued function, given the values of multiple input variables. The method induces solutions from samples in the form of ordered disjunctive normal form (DNF) decision…

Artificial Intelligence · Computer Science 2014-11-17 S. M. Weiss , N. Indurkhya

Pricing decisions stand out as one of the most critical tasks a company faces, particularly in today's digital economy. As with other business decision-making problems, pricing unfolds in a highly competitive and uncertain environment.…

Computer Science and Game Theory · Computer Science 2024-09-04 Daniel García Rasines , Roi Naveiro , David Ríos Insua , Simón Rodríguez Santana

We present a simpler proof of the existence of equilibria for a class of mean field games with common noise, where players interact through the conditional law given the current value of the common noise rather than its entire path. By…

Probability · Mathematics 2025-11-04 Ludovic Tangpi , Shichun Wang

In this work, we investigate the market-making problem on a trading session in which a continuous phase on a limit order book is followed by a closing auction. Whereas standard optimal market-making models typically rely on terminal…

Trading and Market Microstructure · Quantitative Finance 2026-01-27 Julius Graf , Thibaut Mastrolia

In the literature, existence of mean-field equilibria has been established for discrete-time mean field games under both the discounted cost and the average cost optimality criteria. In this paper, we provide a value iteration algorithm to…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Berkay Anahtarci , Can Deha Kariksiz , Naci Saldi

In this paper, we analyze a natural learning algorithm for uniform pacing of advertising budgets, equipped to adapt to varying ad sale platform conditions. On the demand side, advertisers face a fundamental technical challenge in automating…

Computer Science and Game Theory · Computer Science 2022-11-14 MohammadTaghi Hajiaghayi , Max Springer

We present a methodology for representing probabilistic relationships in a general-equilibrium economic model. Specifically, we define a precise mapping from a Bayesian network with binary nodes to a market price system where consumers and…

Computer Science and Game Theory · Computer Science 2013-02-18 David M. Pennock , Michael P. Wellman

Financial firms and institutional investors are routinely evaluated based on their performance relative to their peers. These relative performance concerns significantly influence risk-taking behavior and market dynamics. While the…

Mathematical Finance · Quantitative Finance 2025-12-29 Masaaki Fujii

This paper proposes a novel method for demand forecasting in a pricing context. Here, modeling the causal relationship between price as an input variable to demand is crucial because retailers aim to set prices in a (profit) optimal manner…

Noise and uncertainty are usually the enemy of machine learning, noise in training data leads to uncertainty and inaccuracy in the predictions. However, we develop a machine learning architecture that extracts crucial information out of the…

Machine Learning · Computer Science 2022-09-20 Bahdan Zviazhynski , Gareth Conduit

In this paper, we consider the problem of resource congestion control for competing online learning agents. On the basis of non-cooperative game as the model for the interaction between the agents, and the noisy online mirror ascent as the…

Machine Learning · Computer Science 2019-10-22 Ezra Tampubolon , Holger Boche

This paper contributes a new machine learning solution for stock movement prediction, which aims to predict whether the price of a stock will be up or down in the near future. The key novelty is that we propose to employ adversarial…

Trading and Market Microstructure · Quantitative Finance 2019-06-04 Fuli Feng , Huimin Chen , Xiangnan He , Ji Ding , Maosong Sun , Tat-Seng Chua

We introduce a new path-by-path approach to mean field games with common noise that recovers duality at the pathwise level. We verify this perspective by explicitly solving some difficult examples with linear-quadratic data, including…

Optimization and Control · Mathematics 2023-10-23 Mark Cerenzia , Aaron Zeff Palmer

We use standard physics techniques to model trading and price formation in a market under the assumption that order arrival and cancellations are Poisson random processes. This model makes testable predictions for the most basic properties…

Statistical Mechanics · Physics 2013-05-29 Marcus G. Daniels , J. Doyne Farmer , Laszlo Gillemot , Giulia Iori , Eric Smith

Agricultural price prediction is crucial for farmers, policymakers, and other stakeholders in the agricultural sector. However, it is a challenging task due to the complex and dynamic nature of agricultural markets. Machine learning…

Artificial Intelligence · Computer Science 2023-10-31 Nhat-Quang Tran , Anna Felipe , Thanh Nguyen Ngoc , Tom Huynh , Quang Tran , Arthur Tang , Thuy Nguyen