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We investigate the most common type of blockchain-based decentralized exchange, which are known as constant function market makers (CFMMs). We examine the the market microstructure around CFMMs and present a model for valuing the liquidity…

Cryptography and Security · Computer Science 2023-06-21 Richard Dewey , Craig Newbold

Batch auctions are a classical market microstructure, acclaimed for their fairness properties, and have received renewed interest in the context of blockchain-based financial systems. Constant function market makers (CFMMs) are another…

Computer Science and Game Theory · Computer Science 2024-06-24 Geoffrey Ramseyer , Mohak Goyal , Ashish Goel , David Mazières

Constant function market makers (CFMMs) such as Uniswap, Balancer, Curve, and mStable, among many others, make up some of the largest decentralized exchanges on Ethereum and other blockchains. Because all transactions are public in current…

Cryptography and Security · Computer Science 2021-03-02 Guillermo Angeris , Alex Evans , Tarun Chitra

Constant function market makers (CFMMs) such as Uniswap have facilitated trillions of dollars of digital asset trades and have billions of dollars of liquidity. One natural question is how to optimally route trades across a network of CFMMs…

Optimization and Control · Mathematics 2023-02-13 Theo Diamandis , Max Resnick , Tarun Chitra , Guillermo Angeris

Constant Function Market Makers (CFMMs) are a tool for creating exchange markets, have been deployed effectively in prediction markets, and are now especially prominent in the Decentralized Finance ecosystem. We show that for any set of…

Computer Science and Game Theory · Computer Science 2023-03-06 Mohak Goyal , Geoffrey Ramseyer , Ashish Goel , David Mazières

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

The asset trading volume on blockchain-based exchanges (DEX) increased substantially since the advent of Automated Market Makers (AMM). Yet, AMMs and their forks compete on the same blockchain, incurring unnecessary network and block-space…

Cryptography and Security · Computer Science 2021-06-21 Liyi Zhou , Kaihua Qin , Arthur Gervais

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

We consider the problem of optimally executing an order involving multiple crypto-assets, sometimes called tokens, on a network of multiple constant function market makers (CFMMs). When we ignore the fixed cost associated with executing an…

Optimization and Control · Mathematics 2022-04-12 Guillermo Angeris , Tarun Chitra , Alex Evans , Stephen Boyd

Constant-product market making functions were first introduced by Hayden Adams in 2017 to create Uniswap, a decentralised exchange on Ethereum. This enables users to exchange assets at any given rate. Some variations such as Balancer and…

Computer Science and Game Theory · Computer Science 2023-01-23 Théodore Conrad , Arthur Vinciguerra , Guillaume Méroué

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

Decentralized exchanges (DEXs) face persistent challenges in liquidity retention and user engagement due to inefficiencies in conventional automated market maker (AMM) designs. This work proposes a dual-mechanism framework to address these…

Trading and Market Microstructure · Quantitative Finance 2025-02-28 CY Yan , Steve Keol , Xo Co , Nate Leung

As an integral part of the decentralized finance (DeFi) ecosystem, decentralized exchanges (DEXs) with automated market maker (AMM) protocols have gained massive traction with the recently revived interest in blockchain and distributed…

Trading and Market Microstructure · Quantitative Finance 2023-03-16 Jiahua Xu , Krzysztof Paruch , Simon Cousaert , Yebo Feng

Decentralized Exchanges (DEXs) are new types of marketplaces leveraging Blockchain technology. They allow users to trade assets with Automatic Market Makers (AMM), using funds provided by liquidity providers, removing the need for order…

Computer Science and Game Theory · Computer Science 2023-02-08 Yogev Bar-On , Yishay Mansour

This work focuses on the mathematical study of constant function market makers. We rigorously establish the conditions for optimal trading under the assumption of a quasilinear, but not necessarily convex (or concave), trade function. This…

Optimization and Control · Mathematics 2024-05-14 C. Escudero , F. Lara , M. Sama

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

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

In this paper, we analyze traders' behavior within both centralized exchanges (CEXs) and decentralized exchanges (DEXs), focusing on the volatility of Bitcoin prices and the trading activity of investors engaged in perpetual future…

Trading and Market Microstructure · Quantitative Finance 2024-04-26 Erdong Chen , Mengzhong Ma , Zixin Nie

Decentralized Exchanges (DEXs) are pivotal applications in the Decentralized Finance (DeFi) landscape, aiming to facilitate trustless cryptocurrency trading by relying on smart contracts and blockchain networks. The developments in the DEXs…

Computational Engineering, Finance, and Science · Computer Science 2024-11-05 Mohammad Ali Asef , Seyed Mojtaba Hosseini Bamakan

Decentralized exchanges are revolutionizing finance. With their ever-growing increase in popularity, a natural question that begs to be asked is: how efficient are these new markets? We find that nearly 30% of analyzed trades are executed…

Computational Engineering, Finance, and Science · Computer Science 2022-05-23 Jan Arvid Berg , Robin Fritsch , Lioba Heimbach , Roger Wattenhofer
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