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Related papers: Fees in AMMs: A quantitative study

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In the ever evolving landscape of decentralized finance automated market makers (AMMs) play a key role: they provide a market place for trading assets in a decentralized manner. For so-called bluechip pairs, arbitrage activity provides a…

Statistical Finance · Quantitative Finance 2025-05-16 Abe Alexander , Lars Fritz

Automated Market Makers (AMMs) are emerging as a popular decentralised trading platform. In this work, we determine the optimal dynamic fees in a constant function market maker. We find approximate closed-form solutions to the control…

Trading and Market Microstructure · Quantitative Finance 2025-06-26 Leonardo Baggiani , Martin Herdegen , Leandro Sánchez-Betancourt

Automated Market Makers (AMMs) are a central component of decentralized exchanges, yet their equilibrium foundations and microeconomic mechanisms remain incompletely understood. This paper develops a dynamic equilibrium framework for…

General Economics · Economics 2026-03-10 Chengqi Zang , Zhenghui Wang , Weitong Zhang

An automated market maker (AMM) provides a method for creating a decentralized exchange on the blockchain. For this purpose, individual investors lend liquidity to the AMM pool in exchange for a stream of fees earned from its operations as…

Mathematical Finance · Quantitative Finance 2025-09-30 Maxim Bichuch , Zachary Feinstein

Automated market makers (AMMs) have emerged as the dominant market mechanism for trading on decentralized exchanges implemented on blockchains. This paper presents a single mechanism that targets two important unsolved problems for AMMs:…

Trading and Market Microstructure · Quantitative Finance 2025-02-13 Austin Adams , Ciamac C. Moallemi , Sara Reynolds , Dan Robinson

Automated market makers (AMMs) are a new prototype of decentralised exchanges which are revolutionising market interactions. The majority of AMMs are constant product markets (CPMs) where exchange rates are set by a trading function. This…

Trading and Market Microstructure · Quantitative Finance 2025-06-19 Álvaro Cartea , Fayçal Drissi , Marcello Monga

Passive liquidity providers (LPs) in automated market makers (AMMs) face losses due to adverse selection (LVR), which static trading fees often fail to offset in practice. We study the key determinants of LP profitability in a dynamic…

Trading and Market Microstructure · Quantitative Finance 2025-08-12 Steven Campbell , Philippe Bergault , Jason Milionis , Marcel Nutz

Automated market makers (AMMs) are smart contracts that automatically trade electronic assets according to a mathematical formula. This paper investigates how an AMM's formula affects the interests of liquidity providers, who endow the AMM…

Other Computer Science · Computer Science 2021-10-20 Daniel Engel , Maurice Herlihy

Within this work we consider an axiomatic framework for Automated Market Makers (AMMs). AMMs are smart contracts that set prices for swaps on a pool of assets. By imposing reasonable axioms on the underlying utility function, we are able to…

Mathematical Finance · Quantitative Finance 2025-02-04 Maxim Bichuch , Zachary Feinstein

Automated Market Makers (AMMs) have cemented themselves as an integral part of the decentralized finance (DeFi) space. AMMs are a type of exchange that allows users to trade assets without the need for a centralized exchange. They form the…

Machine Learning · Computer Science 2022-11-29 Dev Churiwala , Bhaskar Krishnamachari

Decentralized exchanges are widely used platforms for trading crypto assets. The most common types work with automated market makers (AMM), allowing traders to exchange assets without needing to find matching counterparties. Thereby,…

General Economics · Economics 2024-02-12 Matthias Hafner , Helmut Dietl

Automated market makers (AMMs) quote prices from pool state rather than from a limit order book. AMM pools often stay close to a reference price because arbitrageurs correct profitable mispricing. A large part of decentralized finance…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 Peihao Li , Nadia Dahmani , Wenqi Cai

Automated market makers (AMMs) are one of the most prominent decentralized finance (DeFi) applications. AMMs allow users to trade different types of crypto-tokens, without the need to find a counter-party. There are several implementations…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

We investigate the market microstructure of Automated Market Makers (AMMs), the most prominent type of blockchain-based decentralized exchanges. We show that the order execution mechanism yields token value loss for liquidity providers if…

Trading and Market Microstructure · Quantitative Finance 2021-07-22 Agostino Capponi , Ruizhe Jia

Decentralized Finance (DeFi) has revolutionized financial markets by enabling complex asset-exchange protocols without trusted intermediaries. Automated Market Makers (AMMs) are a central component of DeFi, providing the core functionality…

Mathematical Finance · Quantitative Finance 2026-02-03 Marco Dessalvi , Massimo Bartoletti , Alberto Lluch-Lafuente

Automated market makers (AMMs) are pricing mechanisms utilized by decentralized exchanges (DEX). Traditional AMM approaches are constrained by pricing solely based on their own liquidity pool, without consideration of external markets or…

Machine Learning · Computer Science 2024-08-27 Daniel Jiwoong Im , Alexander Kondratskiy , Vincent Harvey , Hsuan-Wei Fu

We consider the impact of trading fees on the profits of arbitrageurs trading against an automated market maker (AMM) or, equivalently, on the adverse selection incurred by liquidity providers (LPs) due to arbitrage. We extend the model of…

Mathematical Finance · Quantitative Finance 2025-07-24 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden

Automated Market Makers (AMMs) are decentralized applications that allow users to exchange crypto-tokens without the need for a matching exchange order. AMMs are one of the most successful DeFi use cases: indeed, major AMM platforms process…

Cryptography and Security · Computer Science 2022-07-20 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

Automated market makers (AMMs) are a new type of trading venues which are revolutionising the way market participants interact. At present, the majority of AMMs are constant function market makers (CFMMs) where a deterministic trading…

Trading and Market Microstructure · Quantitative Finance 2024-07-25 Marcello Monga

This paper develops a rigorous mathematical framework for analyzing Concentrated Liquidity Market Makers (CLMMs) in Decentralized Finance (DeFi) within a continuous-time setting. We model the evolution of liquidity profiles as…

Mathematical Finance · Quantitative Finance 2024-12-25 Shen-Ning Tung , Tai-Ho Wang
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