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Related papers: Impermanent Loss in Uniswap v3

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Automated market makers (AMMs) are automata that trade electronic assets at rates set by mathematical formulas. AMMs are usually implemented by smart contracts on blockchains. In practice, AMMs are often composed: and outputs from AMMs can…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-01 Daniel Engel , Maurice Herlihy

Automated Market Makers (AMMs) are decentralized applications that allow users to exchange crypto-tokens without the need for a matching exchange order. AMMs are one of the most successful DeFi use cases: indeed, major AMM platforms process…

Cryptography and Security · Computer Science 2022-07-20 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

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…

Trading and Market Microstructure · Quantitative Finance 2024-04-16 Erhan Bayraktar , Asaf Cohen , April Nellis

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 this paper, we study an investor's optimal entry and exit decisions in a liquid staking protocol (LSP) and an automated market maker (AMM), primarily from the standpoint of the investor. Our analysis focuses on two key investor actions:…

Mathematical Finance · Quantitative Finance 2025-12-10 Ruofei Ma , Zhebiao Cai , Wenpin Tang , David Yao

Machine Learning as a Service (MLaaS) allows clients with limited resources to outsource their expensive ML tasks to powerful servers. Despite the huge benefits, current MLaaS solutions still lack strong assurances on: 1) service…

Cryptography and Security · Computer Science 2020-09-29 Lingchen Zhao , Qian Wang , Cong Wang , Qi Li , Chao Shen , Xiaodong Lin , Shengshan Hu , Minxin Du

Auto-deleveraging (ADL) mechanisms are a critical yet understudied component of risk management on cryptocurrency futures exchanges. When available margin and other loss-absorbing resources are insufficient to cover losses following large…

Risk Management · Quantitative Finance 2026-03-18 Steven Campbell , Natascha Hey , Ciamac C. Moallemi , Marcel Nutz

We derive the stochastic price process for tokens whose sole price discovery mechanism is a constant-product automated market maker (AMM). When the net flow into the pool follows a diffusion, the token price follows a constant elasticity of…

Pricing of Securities · Quantitative Finance 2026-04-01 Philip Z. Maymin

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

Predatory trading bots lurking in Ethereum's mempool present invisible taxation of traders on automated market makers (AMMs). AMM traders specify a slippage tolerance to indicate the maximum price movement they are willing to accept. This…

Computer Science and Game Theory · Computer Science 2022-03-03 Lioba Heimbach , Roger Wattenhofer

Frequent Item-set Mining (FIM), sometimes called Market Basket Analysis (MBA) or Association Rule Learning (ARL), are Machine Learning (ML) methods for creating rules from datasets of transactions of items. Most methods identify items…

Data Structures and Algorithms · Computer Science 2018-03-30 Ran M. Bittmann , Philippe Nemery , Xingtian Shi , Michael Kemelmakher , Mengjiao Wang

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

This paper aims to enhance the understanding of liquidity provider (LP) returns in automated market makers (AMMs). LPs face market risk as well as adverse selection due to risky asset holdings in the pool that they provide liquidity to and…

Portfolio Management · Quantitative Finance 2023-06-19 Jason Milionis , Xin Wan , Austin Adams

This paper investigates the issue of an adequate loss function in the optimization of machine learning models used in the forecasting of financial time series for the purpose of algorithmic investment strategies (AIS) construction. We…

Computational Finance · Quantitative Finance 2023-09-20 Jakub Michańków , Paweł Sakowski , Robert Ślepaczuk

Automated market makers (AMMs) are a prime example of Web 3.0 applications. Their popularity and high trading activity led to serious scalability issues in terms of throughput and state size. In this paper, we address these challenges by…

Cryptography and Security · Computer Science 2025-03-21 Nicolas Michel , Mohamed E. Najd , Ghada Almashaqbeh

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

Autodeleveraging (ADL) is a last-resort loss socialization mechanism used by perpetual futures venues when liquidation and insurance buffers are insufficient to restore solvency. Despite the scale of perpetual futures markets, ADL has…

Computer Science and Game Theory · Computer Science 2026-02-18 Tarun Chitra , Nagu Thogiti , Mauricio Jean Pieer Trujillo Ramirez , Victor Xu

We consider Geometric Mean Market Makers -- a special type of Decentralized Exchange -- with two types of users: liquidity takers and arbitrageurs. Liquidity takers trade at prices that can create arbitrage opportunities, while arbitrageurs…

Mathematical Finance · Quantitative Finance 2023-03-21 Masaaki Fukasawa , Basile Maire , Marcus Wunsch

We examine how the introduction of concentrated liquidity has changed the liquidity provision market in automated market makers such as Uniswap. To this end, we compare average liquidity provider returns from trading fees before and after…

Trading and Market Microstructure · Quantitative Finance 2023-10-30 Robin Fritsch

Maximal Extractable Value (MEV) in Constant Function Market Making is fairly well understood. Does having dynamic weights, as found in liquidity boostrap pools (LBPs), Temporal-function market makers (TFMMs), and Replicating market makers…

Trading and Market Microstructure · Quantitative Finance 2024-04-26 Matthew Willetts , Christian Harrington
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