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Related papers: Fees in AMMs: A quantitative study

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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

Automated market makers are a popular mechanism used on decentralized exchange, through which users trade assets with each other directly and automatically through a liquidity pool and a fixed pricing function. The liquidity provider…

Mathematical Finance · Quantitative Finance 2024-11-27 Xue Dong He , Chen Yang , Yutian Zhou

We present a model for price dynamics in the Automated Market Makers (AMM) setting. Within this framework, we propose a reference market price following a geometric Brownian motion. The AMM price is constrained by upper and lower bounds,…

Mathematical Finance · Quantitative Finance 2024-01-04 Joseph Najnudel , Shen-Ning Tung , Kazutoshi Yamazaki , Ju-Yi Yen

Triangle fees are a novel fee structure for AMMs, in which marginal fees are decreasing in a trade's size. That decline is proportional to the movement in the AMM's implied price, i.e. for every basis point the trade moves the ratio of…

Mathematical Finance · Quantitative Finance 2023-07-03 Rithvik Rao , Nihar Shah

In decentralized finance ("DeFi"), automated market makers (AMMs) enable traders to programmatically exchange one asset for another. Such trades are enabled by the assets deposited by liquidity providers (LPs). The goal of this paper is to…

Computer Science and Game Theory · Computer Science 2023-11-29 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden

One of the exciting recent developments in decentralized finance (DeFi) has been the development of decentralized cryptocurrency exchanges that can autonomously handle conversion between different cryptocurrencies. Decentralized exchange…

Trading and Market Microstructure · Quantitative Finance 2021-01-11 Bhaskar Krishnamachari , Qi Feng , Eugenio Grippo

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

Prediction markets allow traders to bet on potential future outcomes. These markets exist for weather, political, sports, and economic forecasting. Within this work we consider a decentralized framework for prediction markets using…

Mathematical Finance · Quantitative Finance 2025-01-10 Hamed Amini , Maxim Bichuch , Zachary Feinstein

Constant Function Market Makers (CFMMs) are a family of automated market makers that enable censorship-resistant decentralized exchange on public blockchains. Arbitrage trades have been shown to align the prices reported by CFMMs with those…

Mathematical Finance · Quantitative Finance 2021-04-02 Alex Evans , Guillermo Angeris , Tarun Chitra

Automated Market Makers (AMMs) are essential in Decentralized Finance (DeFi) as they match liquidity supply with demand. They function through liquidity providers (LPs) who deposit assets into liquidity pools. However, the asset trading…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Viraj Nadkarni , Sanjeev Kulkarni , Pramod Viswanath

This paper presents the results of a comprehensive empirical study of losses to arbitrageurs (following the formalization of loss-versus-rebalancing by [Milionis et al., 2022]) incurred by liquidity providers on automated market makers…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-23 Robin Fritsch , Andrea Canidio

Automated market makers (AMMs) allocate fee revenue \textit{proportional} to the amount of liquidity investors deposit. In this paper, we study the economic consequences of the competition between passive liquidity providers (LPs) caused by…

Computer Science and Game Theory · Computer Science 2024-08-06 Julian Ma , Davide Crapis

Automated Market Makers (AMMs) are a class of smart contracts on Ethereum and other blockchains that "make markets" autonomously. In other words, AMMs stand ready to trade with other market participants that interact with them, at the…

Mathematical Finance · Quantitative Finance 2022-12-22 Stefan Loesch

This paper introduces and analyzes \emph{defensive rebalancing}, a novel mechanism for protecting constant-function market makers (CFMMs) from value leakage due to arbitrage. A \emph{rebalancing} transfers assets directly from one CFMM's…

Computer Science and Game Theory · Computer Science 2026-01-29 Sam Devorsetz , Maurice Herlihy

An automated market maker (AMM) is a state machine that manages pools of assets, allowing parties to buy and sell those assets according to a fixed mathematical formula. AMMs are typically implemented as smart contracts on blockchains, and…

Trading and Market Microstructure · Quantitative Finance 2024-01-29 Kenan Wood , Maurice Herlihy , Hammurabi Mendes , Jonad Pulaj

Decentralised automated market makers (AMMs) have gained significant attention recently. We propose an adaptive and automated Dynamic Function Market Maker (DFMM) that addresses challenges in this space. Our DFMM protocol includes a data…

General Finance · Quantitative Finance 2023-07-26 Arman Abgaryan , Utkarsh Sharma

Decentralized Finance (DeFi) is a rapidly evolving segment of blockchain technology that enables a transformative approach to financial services through Web3 applications. By leveraging smart contracts, DeFi allows developers to build…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Ignat Melnikov , Roman Vlasov , Vladimir Gorgadze , Andrey Seoev , Yury Yanovich

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

In this work, we present an application of the probabilistic weak formulation of mean field games (MFG) for modeling liquidity pools in a constant product automated market maker (AMM) protocol in the context of decentralized finance. Our…

Optimization and Control · Mathematics 2026-04-14 Agustín Muñoz González , Juan I. Sequeira , Rafael Orive Illera

We study decentralized markets for goods whose utility perishes in time, with compute as a primary motivation. Recent advances in reproducible and verifiable execution allow jobs to pause, verify, and resume across heterogeneous hardware,…

Theoretical Economics · Economics 2025-11-21 Chengqi Zang , Gabriel P. Andrade , Oğuzhan Ersoy