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Concentrated liquidity (CL) provisioning is a way how to improve the capital efficiency of Automated Market Makers (AMM). Allowing liquidity providers to use leverage is a step towards even higher capital efficiency. A number of…

交易与市场微观结构 · 定量金融 2024-09-20 Atis Elsts , Krešimir Klas

We investigate the behavior of liquidity providers (LPs) by modeling a decentralized cryptocurrency exchange (DEX) based on Uniswap v3. LPs with heterogeneous characteristics choose optimal liquidity positions subject to uncertainty…

交易与市场微观结构 · 定量金融 2024-04-16 Erhan Bayraktar , Asaf Cohen , April Nellis

Concentrated Liquidity Market Makers (CLMMs) represent a fundamental innovation in market microstructure, transforming liquidity provision from passive portfolio allocation to active risk management. This evolution creates significant…

数理金融 · 定量金融 2026-03-31 Andrey Urusov , Rostislav Berezovskiy , Anatoly Krestenko , Andrei Kornilov , Yury Yanovich

With the emergence of decentralized finance, new trading mechanisms called Automated Market Makers have appeared. The most popular Automated Market Makers are Constant Function Market Makers. They have been studied both theoretically and…

交易与市场微观结构 · 定量金融 2023-11-21 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant

This paper develops a robust mathematical framework for Constant Function Market Makers (CFMMs) by transitioning from traditional token reserve analyses to a coordinate system defined by price and intrinsic liquidity. We establish a…

数理金融 · 定量金融 2026-03-03 Jimmy Risk , Shen-Ning Tung , Tai-Ho Wang

The recently proposed Uniswap v3 replaces the fungible liquidity provider token (LP token) into non-fungible ones, making the design for liquidity mining more difficult. In this paper, we propose a flexible liquidity mining scheme that…

人工智能 · 计算机科学 2021-08-13 Jimmy Yin , Mac Ren

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…

分布式、并行与集群计算 · 计算机科学 2026-05-01 Ignat Melnikov , Roman Vlasov , Vladimir Gorgadze , Andrey Seoev , Yury Yanovich

Automated market makers with concentrated liquidity capabilities are programmable at the tick level. The maximization of earned fees, plus depreciated reserves, is a convex optimization problem whose vector solution gives the best provision…

投资组合管理 · 定量金融 2024-05-30 Corinne Powers

In this paper we study the pricing and hedging of structured products in energy markets, such as swing and virtual gas storage, using the exponential utility indifference pricing approach in a general incomplete multivariate market model…

数理金融 · 定量金融 2016-02-23 Giorgia Callegaro , Luciano Campi , Valeria Giusto , Tiziano Vargiolu

Liquidity Providers on Automated Market Makers generate millions of USD in transaction fees daily. However, the net value of a Liquidity Position is vulnerable to price changes in the underlying assets in the pool. The dominant measure of…

计算工程、金融与科学 · 计算机科学 2022-12-29 Adam Khakhar , Xi Chen

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…

综合经济学 · 经济学 2026-03-10 Chengqi Zang , Zhenghui Wang , Weitong Zhang

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

We study the economic viability of liquidity provision in decentralised exchanges (DEXs) within a structural framework in which market outcomes are endogenous. We formulate strategic interactions as a sequential game: a risk-averse…

交易与市场微观结构 · 定量金融 2026-03-05 Fayçal Drissi , Xuchen Wu , Sebastian Jaimungal

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…

交易与市场微观结构 · 定量金融 2024-07-25 Marcello Monga

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 introduce a class of utility-based market makers that always accept orders at their risk-neutral prices. We derive necessary and sufficient conditions for such market makers to have bounded loss. We prove that hyperbolic absolute risk…

计算机科学与博弈论 · 计算机科学 2012-10-16 Yiling Chen , David M Pennock

Constant Product Market Makers use fees that are typically fixed proportions of trade size. When these fees are automatically reinvested into the pool, as in Uniswap~V2 and some designs of Uniswap V4, the final state after a trade can…

分布式、并行与集群计算 · 计算机科学 2026-05-01 Andrey Voronin , Roman Vlasov , Vladimir Gorgadze , Andrey Seoev , Yury Yanovich

The emergence of Concentrated Liquidity Market Makers (CLMMs) has made liquidity provision on decentralized exchanges an active and risk-sensitive task. However, the standalone profitability of liquidity provision remains unclear for…

交易与市场微观结构 · 定量金融 2026-04-27 Andrey Urusov , Rostislav Berezovskiy , Anatoly Krestenko , Andrei Kornilov

Decentralized exchange platforms such as Uniswap and Balancer operate on several pools where each pool contains two or more cryptocurrencies and constitutes direct trading pairs. The drawbacks here are that liquidity providing requires…

信息论 · 计算机科学 2025-07-31 Wittawat Kositwattanarerk

This article analytically characterizes the impermanent loss for automatic market makers in decentralized exchanges such as Uniswap or Balancer (CPMM). We present a theoretical static replication formula for the pool value using a…

数理金融 · 定量金融 2024-12-16 Agustín Muñoz González , Juan I. Sequeira y Ariel Dembling