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Related papers: Optimal Fees for Geometric Mean Market Makers

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Geometric mean market makers (G3Ms), such as Uniswap and Balancer, comprise a popular class of automated market makers (AMMs) defined by the following rule: the reserves of the AMM before and after each trade must have the same (weighted)…

Mathematical Finance · Quantitative Finance 2020-07-16 Alex Evans

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

We study how trading fees and continuous-time arbitrage affect the profitability of liquidity providers (LPs) in Geometric Mean Market Makers (G3Ms). We use stochastic reflected diffusion processes to analyze the dynamics of a G3M model…

Mathematical Finance · Quantitative Finance 2026-04-14 Cheuk Yin Lee , Shen-Ning Tung , Tai-Ho Wang

The rise of Ethereum and other blockchains that support smart contracts has led to the creation of decentralized exchanges (DEXs), such as Uniswap, Balancer, Curve, mStable, and SushiSwap, which enable agents to trade cryptocurrencies…

Optimization and Control · Mathematics 2021-07-28 Guillermo Angeris , Akshay Agrawal , Alex Evans , Tarun Chitra , Stephen Boyd

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

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

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

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

Blockchains have popularized automated market makers (AMMs). An AMM exchange is an application running on a blockchain which maintains a pool of crypto-assets and automatically trades assets with users governed by some pricing function that…

Computer Science and Game Theory · Computer Science 2025-09-16 T-H. Hubert Chan , Ke Wu , Elaine Shi

The recently proposed Transaction Fee Mechanism (TFM) literature studies the strategic interaction between the miner of a block and the transaction creators (or users) in a blockchain. In a TFM, the miner includes transactions that maximize…

Computer Science and Game Theory · Computer Science 2024-02-08 Sankarshan Damle , Varul Srivastava , Sujit Gujar

Given the low throughput of blockchains like Bitcoin and Ethereum, scalability - the ability to process an increasing number of transactions - has become a central focus of blockchain research. One promising approach is the parallelization…

Computer Science and Game Theory · Computer Science 2025-08-11 Bahar Acilan , Andrei Constantinescu , Lioba Heimbach , Roger Wattenhofer

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

We present a method for constructing Constant Function Market Makers (CFMMs) whose portfolio value functions match a desired payoff. More specifically, we show that the space of concave, nonnegative, nondecreasing, 1-homogeneous payoff…

Mathematical Finance · Quantitative Finance 2021-03-30 Guillermo Angeris , Alex Evans , Tarun Chitra

Constant-function market makers (CFMMs), such as Uniswap, are automated exchanges offering trades among a set of assets. We study their technical relationship to another class of automated market makers, cost-function prediction markets. We…

Computer Science and Game Theory · Computer Science 2023-04-10 Rafael Frongillo , Maneesha Papireddygari , Bo Waggoner

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

Blockchain-based cryptocurrencies prioritize transactions based on their fees, creating a unique kind of fee market. Empirically, this market has failed to yield stable equilibria with predictable prices for desired levels of service. We…

Cryptography and Security · Computer Science 2019-01-23 Soumya Basu , David Easley , Maureen O'Hara , Emin Gün Sirer

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

Blockchains deploy Transaction Fee Mechanisms (TFMs) to determine which user transactions to include in blocks and determine their payments (i.e., transaction fees). Increasing demand and scarce block resources have led to high user…

Computer Science and Game Theory · Computer Science 2024-01-25 Sankarshan Damle , Manisha Padala , Sujit Gujar

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

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