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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

In this work, we present an application of the probabilistic weak formulation of mean field games (MFG) for modeling liquidity pools in a constant product automated market maker (AMM) protocol in the context of decentralized finance. Our…

最优化与控制 · 数学 2026-04-14 Agustín Muñoz González , Juan I. Sequeira , Rafael Orive Illera

We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader-follower…

交易与市场微观结构 · 定量金融 2025-03-31 Alif Aqsha , Philippe Bergault , 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…

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

Automated market makers (AMMs) allocate fee revenue \textit{proportional} to the amount of liquidity investors deposit. In this paper, we study the economic consequences of the competition between passive liquidity providers (LPs) caused by…

计算机科学与博弈论 · 计算机科学 2024-08-06 Julian Ma , Davide Crapis

To trade tokens in cryptoeconomic systems, automated market makers (AMMs) typically rely on liquidity providers (LPs) that deposit tokens in exchange for rewards. To profit from such rewards, LPs must use effective liquidity provisioning…

交易与市场微观结构 · 定量金融 2025-01-15 Thanos Drossos , Daniel Kirste , Niclas Kannengießer , Ali Sunyaev

Liquidity providers (LPs) are essential figures in the operation of automated market makers (AMMs); in exchange for transaction fees, LPs lend the liquidity that allows AMMs to operate. While many prior works have studied the incentive…

计算机科学与博弈论 · 计算机科学 2025-09-22 Bruno Llacer Trotti , Weizhao Tang , Rachid El-Azouzi , Giulia Fanti , Daniel Sadoc Menasche

Concentrated liquidity automated market makers (AMMs), such as Uniswap v3, enable liquidity providers (LPs) to earn liquidity rewards by depositing tokens into liquidity pools. However, LPs often face significant financial losses driven by…

交易与市场微观结构 · 定量金融 2025-04-24 Simon Caspar Zeller , Paul-Niklas Ken Kandora , Daniel Kirste , Niclas Kannengießer , Steffen Rebennack , Ali Sunyaev

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

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

Automated Market Makers (AMMs) are used to provide liquidity for combinatorial prediction markets that would otherwise be too thinly traded. They offer both buy and sell prices for any of the doubly exponential many possible securities that…

计算机科学与博弈论 · 计算机科学 2025-10-16 Maneesha Papireddygari , Xintong Wang , Bo Waggoner , David M. Pennock

Market fragmentation across multiple Automated Market Makers (AMMs) creates inefficiencies such as costly arbitrage, unnecessarily high slippage and delayed incorporation of new information into prices. These inefficiencies raise trading…

综合经济学 · 经济学 2025-10-01 Marcelo Bagnulo , Angel Hernando-Veciana , Efthymios Smyrniotis

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…

计算机科学与博弈论 · 计算机科学 2023-11-29 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden

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…

交易与市场微观结构 · 定量金融 2025-08-12 Steven Campbell , Philippe Bergault , Jason Milionis , Marcel Nutz

This paper studies liquid staking tokens (LSTs) on automated market makers (AMMs), both theoretically and empirically. LSTs are tokenized representations of staked assets on proof-of-stake blockchains. First, we model LST-liquidity on AMMs…

密码学与安全 · 计算机科学 2024-07-22 Krzysztof Gogol , Robin Fritsch , Malte Schlosser , Johnnatan Messias , Benjamin Kraner , Claudio Tessone

Constant product markets with concentrated liquidity (CL) are the most popular type of automated market makers. In this paper, we characterise the continuous-time wealth dynamics of strategic LPs who dynamically adjust their range of…

数理金融 · 定量金融 2024-06-14 Álvaro Cartea , Fayçal Drissi , Marcello Monga

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…

数理金融 · 定量金融 2025-09-30 Maxim Bichuch , Zachary Feinstein

This work builds on the theoretical frameworks presented in "Liquidity pools as mean field games: A new framework" and "Liquidity pools as mean field games with transaction costs" by the same author, where the strategic interactions among…

最优化与控制 · 数学 2026-03-19 Agustín Muñoz González

Prediction markets allow traders to bet on potential future outcomes. These markets exist for weather, political, sports, and economic forecasting. Within this work we consider a decentralized framework for prediction markets using…

数理金融 · 定量金融 2025-01-10 Hamed Amini , Maxim Bichuch , Zachary Feinstein
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