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This paper studies optimal market making for large-tick assets in the presence of latency. We consider a random walk model for the asset price, and formulate the market maker's optimization problem using Markov Decision Processes (MDP). We…

Trading and Market Microstructure · Quantitative Finance 2020-03-18 Xuefeng Gao , Yunhan Wang

Market fragmentation across multiple Automated Market Makers (AMMs) creates inefficiencies such as costly arbitrage, unnecessarily high slippage and delayed incorporation of new information into prices. These inefficiencies raise trading…

General Economics · Economics 2025-10-01 Marcelo Bagnulo , Angel Hernando-Veciana , Efthymios Smyrniotis

Here, we introduce a price-formation model where a large number of small players can store and trade electricity. Our model is a constrained mean-field game (MFG) where the price is a Lagrange multiplier for the supply vs. demand balance…

Analysis of PDEs · Mathematics 2018-07-20 Diogo Gomes , João Saúde

Mechanisms for decentralized finance on blockchains suffer from various problems, including suboptimal price execution for users, latency, and a worse user experience compared to their centralized counterparts. Recently, off-chain…

Computer Science and Game Theory · Computer Science 2024-03-07 Tarun Chitra , Kshitij Kulkarni , Mallesh Pai , Theo Diamandis

In decentralized finance (DeFi), designing fixed-income lending automated market makers (AMMs) is extremely challenging due to time-related complexities. Moreover, existing protocols only support single-maturity lending. Building upon the…

Cryptography and Security · Computer Science 2025-12-19 Tianyi Ma

Prediction markets are long known for prediction accuracy. This study systematically explores the fundamental properties of prediction markets, addressing questions about their information aggregation process and the factors contributing to…

Trading and Market Microstructure · Quantitative Finance 2023-11-10 Dian Yu , Jianjun Gao , Weiping Wu , Zizhuo Wang

Given a batch of human computation tasks, a commonly ignored aspect is how the price (i.e., the reward paid to human workers) of these tasks must be set or varied in order to meet latency or cost constraints. Often, the price is set…

Computer Science and Game Theory · Computer Science 2014-08-28 Yihan Gao , Aditya Parameswaran

In this paper we extend the market-making models with inventory constraints of Avellaneda and Stoikov ("High-frequency trading in a limit-order book", Quantitative Finance Vol.8 No.3 2008) and Gueant, Lehalle and Fernandez-Tapia ("Dealing…

Trading and Market Microstructure · Quantitative Finance 2012-06-22 Pietro Fodra , Mauricio Labadie

We present our Agent-Based Market Microstructure Simulation (ABMMS), an Agent-Based Financial Market (ABFM) that captures much of the complexity present in the US National Market System for equities (NMS). Agent-Based models are a natural…

Trading and Market Microstructure · Quantitative Finance 2023-11-28 Colin M. Van Oort , Ethan Ratliff-Crain , Brian F. Tivnan , Safwan Wshah

Financial markets populated by human traders often exhibit "market impact", where the traders' quote-prices move in the direction of anticipated change, before any transaction has taken place, as an immediate reaction to the arrival of a…

Trading and Market Microstructure · Quantitative Finance 2020-12-24 Zhen Zhang , Dave Cliff

Cryptocurrency markets are experiencing rapid growth, but this expansion comes with significant challenges, particularly in predicting cryptocurrency prices for traders in the U.S. In this study, we explore how deep learning and machine…

Machine Learning · Computer Science 2025-08-05 Md Zahidul Islam , Md Shafiqur Rahman , Md Sumsuzoha , Babul Sarker , Md Rafiqul Islam , Mahfuz Alam , Sanjib Kumar Shil

This paper addresses a novel data science problem, prescriptive price optimization, which derives the optimal price strategy to maximize future profit/revenue on the basis of massive predictive formulas produced by machine learning. The…

Optimization and Control · Mathematics 2016-05-25 Shinji Ito , Ryohei Fujimaki

We focus on the problem of market making in high-frequency trading. Market making is a critical function in financial markets that involves providing liquidity by buying and selling assets. However, the increasing complexity of financial…

Trading and Market Microstructure · Quantitative Finance 2023-07-03 Jiafa He , Cong Zheng , Can Yang

Uniswap -- and other constant product markets -- appear to work well in practice despite their simplicity. In this paper, we give a simple formal analysis of constant product markets and their generalizations, showing that, under some…

Trading and Market Microstructure · Quantitative Finance 2021-02-11 Guillermo Angeris , Hsien-Tang Kao , Rei Chiang , Charlie Noyes , Tarun Chitra

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

Optimization and Control · Mathematics 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

Recently, there has been a rising awareness that when machine learning (ML) algorithms are used to automate choices, they may treat/affect individuals unfairly, with legal, ethical, or economic consequences. Recommender systems are…

Information Retrieval · Computer Science 2022-04-19 Mohammadmehdi Naghiaei , Hossein A. Rahmani , Yashar Deldjoo

In dealer markets, dealers provide prices at which they agree to buy and sell the assets and securities they have in their scope. With ever increasing trading volume, this quoting task has to be done algorithmically in most markets such as…

Trading and Market Microstructure · Quantitative Finance 2022-12-13 Alexander Barzykin , Philippe Bergault , Olivier Guéant

This paper deals with a stochastic order-driven market model with waiting costs, for order books with heterogenous traders. Offer and demand of liquidity drives price formation and traders anticipate future evolutions of the order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-08-11 Aimé Lachapelle , Jean-Michel Lasry , Charles-Albert Lehalle , Pierre-Louis Lions

The Fractional Stochastic Regularity Model (FSRM) is an extension of Black-Scholes model describing the multifractal nature of prices. It is based on a multifractional process with a random Hurst exponent $H_t$, driven by a fractional…

Mathematical Finance · Quantitative Finance 2025-05-13 Daniele Angelini , Matthieu Garcin

In general it is not clear which kind of information is supposed to be used for calculating the fair value of a contingent claim. Even if the information is specified, it is not guaranteed that the fair value is uniquely determined by the…

General Finance · Quantitative Finance 2016-02-01 Gabriel Frahm