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Constant product markets with concentrated liquidity (CL) are the most popular type of automated market makers. In this paper, we characterise the continuous-time wealth dynamics of strategic LPs who dynamically adjust their range of…

Mathematical Finance · Quantitative Finance 2024-06-14 Álvaro Cartea , Fayçal Drissi , Marcello Monga

Decentralized exchanges (DEXs) are crucial to decentralized finance (DeFi) as they enable trading without intermediaries. However, they face challenges like impermanent loss (IL), where liquidity providers (LPs) see their assets' value…

Computer Science and Game Theory · Computer Science 2026-03-04 Irina Lebedeva , Dmitrii Umnov , Yury Yanovich , Ignat Melnikov , George Ovchinnikov

This paper introduces Capability-Priced Micro-Markets (CPMM), a micro-economic framework designed to enable robust, scalable, and secure commerce among autonomous AI agents on the agentic web. The framework addresses the fundamental…

Prediction markets are powerful mechanisms for information aggregation, but existing designs are optimized for single-event contracts. In practice, traders frequently express beliefs about joint outcomes - through parlays in sports,…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Ranvir Rana , Viraj Nadkarni , Niusha Moshrefi , Pramod Viswanath

In a universal framework that expresses any market system in terms of state transition rules, we prove that every DeFi market system has an invariant function and is thus by definition a CFMM; indeed, all automated market makers (AMMs) are…

Trading and Market Microstructure · Quantitative Finance 2024-01-01 Roger Lee

The efficient market hypothesis (EMH) famously stated that prices fully reflect the information available to traders. This critically depends on the transfer of information into prices through trading strategies. Traders optimise their…

Mathematical Finance · Quantitative Finance 2025-01-14 Paolo Barucca , Flaviano Morone

Constant function market makers (CFMMs) are the most popular type of decentralized trading venue for cryptocurrency tokens. In this paper, we give a very general geometric framework (or 'axioms') which encompass and generalize many of the…

Optimization and Control · Mathematics 2023-08-17 Guillermo Angeris , Tarun Chitra , Theo Diamandis , Alex Evans , Kshitij Kulkarni

Ensuring sufficient liquidity is one of the key challenges for designers of prediction markets. Various market making algorithms have been proposed in the literature and deployed in practice, but there has been little effort to evaluate…

Trading and Market Microstructure · Quantitative Finance 2010-09-09 Aseem Brahma , Sanmay Das , Malik Magdon-Ismail

Automated Market Makers (AMMs), as a core infrastructure of decentralized finance (DeFi), uniquely drive on-chain asset pricing through a deterministic reserve ratio mechanism. Unlike traditional markets, AMM price dynamics is triggered…

Machine Learning · Computer Science 2026-04-23 Huaiyu Jia , Jiehshun You , Yizhi Luo , Jingyu Liu , Shuo Sun

As foundation models are increasingly deployed as interacting agents in multi-agent systems, their collective behavior raises new challenges for trustworthiness, transparency, and accountability. Traditional coordination mechanisms, such as…

Multiagent Systems · Computer Science 2026-02-24 Brendan Gho , Suman Muppavarapu , Afnan Shaik , Tyson Tsay , Atharva Mohan , James Begin , Kevin Zhu , Archana Vaidheeswaran , Vasu Sharma

Arbitrage can arise from the simultaneous purchase and sale of the same asset in different markets in order to profit from a difference in its price. This work systematically reviews arbitrage opportunities between Automated Market Makers…

Cryptography and Security · Computer Science 2024-06-27 Krzysztof Gogol , Johnnatan Messias , Deborah Miori , Claudio Tessone , Benjamin Livshits

This thesis presents a fundamental rethink of electricity market design at the wholesale and balancing layers. Rather than treating markets as static spot clearing mechanisms, it reframes them as a continuously online, event driven…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Shaun Sweeney , Robert Shorten , Mark O'Malley

The study proposes a quote-driven predictive automated market maker (AMM) platform with on-chain custody and settlement functions, alongside off-chain predictive reinforcement learning capabilities to improve liquidity provision of…

Trading and Market Microstructure · Quantitative Finance 2023-01-27 Tristan Lim

We study a novel automated market maker design: the function maximizing AMM (FM-AMM). Our central assumption is that trades are batched before execution. Because of competition between arbitrageurs, the FM-AMM eliminates arbitrage profits…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-20 Andrea Canidio , Robin Fritsch

Liquidity Providers on Automated Market Makers generate millions of USD in transaction fees daily. However, the net value of a Liquidity Position is vulnerable to price changes in the underlying assets in the pool. The dominant measure of…

Computational Engineering, Finance, and Science · Computer Science 2022-12-29 Adam Khakhar , Xi Chen

Since they were authorized by the U.S. Security and Exchange Commission in 1998, electronic exchanges have boomed, and by 2010 high frequency trading accounted for over 70% of equity trades in the US. Such markets are thought to increase…

Trading and Market Microstructure · Quantitative Finance 2012-10-23 Rene Carmona , Kevin Webster

Automated Market Maker (AMM)-based Decentralized Exchanges (DEXs) are crucial in Decentralized Finance (DeFi), but Ethereum implementations suffer from high transaction costs and price synchronization challenges. To address these…

Computational Engineering, Finance, and Science · Computer Science 2025-08-28 Walter Hernandez Cruz , Firas Dahi , Yebo Feng , Jiahua Xu , Aanchal Malhotra , Paolo Tasca

In this paper, we introduce a novel framework to model the exchange rate dynamics between two intrinsically linked cryptoassets, such as stablecoins pegged to the same fiat currency or a liquid staking token and its associated native token.…

Trading and Market Microstructure · Quantitative Finance 2024-11-14 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant , Julien Guilbert

Recent advances in large language models, tool-using agents, and financial machine learning are shifting financial automation from isolated prediction tasks to integrated decision systems that can perceive information, reason over…

General Finance · Quantitative Finance 2026-04-23 Hui Gong

Linear Fisher market is one of the most fundamental economic models. The market is traditionally examined on the basis of individual's price-taking behavior. However, this assumption breaks in markets such as online advertising and…

Computer Science and Game Theory · Computer Science 2024-07-17 Juncheng Li , Pingzhong Tang
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