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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…

最优化与控制 · 数学 2023-02-13 Theo Diamandis , Max Resnick , Tarun Chitra , Guillermo Angeris

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…

数理金融 · 定量金融 2022-12-22 Stefan Loesch

Two popular forms of automated market makers are constant sum and constant product (CSMM and CPMM respectively). Each has its advantages and disadvantages: CSMMs have stable exchange rates but are vulnerable to arbitrage and can sometimes…

交易与市场微观结构 · 定量金融 2022-04-07 Alexander Port , Neelesh Tiruviluamala

We consider the social welfare that can be facilitated by a constant function market maker (CFMM). When there is sufficient liquidity available to the CFMM, it can approximate the optimal social welfare when all users transactions are…

计算机科学与博弈论 · 计算机科学 2022-11-24 Bruno Mazorra , Nicolás Della Penna

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…

数理金融 · 定量金融 2024-12-25 Shen-Ning Tung , Tai-Ho Wang

We suggest a framework to determine optimal trading fees for constant function market makers (CFMMs) in order to maximize liquidity provider returns. In a setting of multiple competing liquidity pools, we show that no race to the bottom…

计算机科学与博弈论 · 计算机科学 2023-10-30 Robin Fritsch , Roger Wattenhofer

In decentralized finance, any individual can pool their assets into an automated market maker (AMM) -- herein we focus on the constant product market maker (CPMM) -- in exchange for a claim on a fraction of future pool assets and fees…

数理金融 · 定量金融 2026-01-27 Maxim Bichuch , Zachary Feinstein

This study provides a practical introduction to high-frequency trading in blockchain-based currency markets. These types of markets have some specific characteristics that differentiate them from the stock markets, such as a large number of…

综合经济学 · 经济学 2023-04-19 Vittorio Astarita

Automated Market Makers (AMMs) are an integral component of the decentralized finance (DeFi) ecosystem, as they allow users to exchange crypto-assets without the need for trusted authorities or external price oracles. Although these…

计算机科学中的逻辑 · 计算机科学 2024-02-13 Daniele Pusceddu , Massimo Bartoletti

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,…

综合经济学 · 经济学 2024-02-12 Matthias Hafner , Helmut Dietl

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,…

理论经济学 · 经济学 2025-11-21 Chengqi Zang , Gabriel P. Andrade , Oğuzhan Ersoy

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…

数理金融 · 定量金融 2021-03-30 Guillermo Angeris , Alex Evans , Tarun Chitra

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…

形式语言与自动机理论 · 计算机科学 2023-06-22 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

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…

密码学与安全 · 计算机科学 2019-01-23 Soumya Basu , David Easley , Maureen O'Hara , Emin Gün Sirer

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…

数理金融 · 定量金融 2024-11-27 Xue Dong He , Chen Yang , Yutian Zhou

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:…

交易与市场微观结构 · 定量金融 2025-02-13 Austin Adams , Ciamac C. Moallemi , Sara Reynolds , Dan Robinson

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…

综合金融 · 定量金融 2023-07-26 Arman Abgaryan , Utkarsh Sharma

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…

交易与市场微观结构 · 定量金融 2023-03-16 Jiahua Xu , Krzysztof Paruch , Simon Cousaert , Yebo Feng

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…

交易与市场微观结构 · 定量金融 2025-06-26 Leonardo Baggiani , Martin Herdegen , Leandro Sánchez-Betancourt

We present an automated market-making (AMM) cross-settlement mechanism for digital assets on interoperable blockchains, focusing on central bank digital currencies (CBDCs) and stable coins. We develop an innovative approach for generating…

交易与市场微观结构 · 定量金融 2021-09-28 Alex Lipton , Artur Sepp