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Automated market makers (AMMs) are smart contracts that automatically trade electronic assets according to a mathematical formula. This paper investigates how an AMM's formula affects the interests of liquidity providers, who endow the AMM…

Other Computer Science · Computer Science 2021-10-20 Daniel Engel , Maurice Herlihy

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,…

General Economics · Economics 2024-02-12 Matthias Hafner , Helmut Dietl

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…

Mathematical Finance · Quantitative Finance 2025-09-30 Maxim Bichuch , Zachary Feinstein

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…

Trading and Market Microstructure · Quantitative Finance 2023-11-21 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant

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…

General Economics · Economics 2026-03-10 Chengqi Zang , Zhenghui Wang , Weitong Zhang

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 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…

Logic in Computer Science · Computer Science 2024-02-13 Daniele Pusceddu , Massimo Bartoletti

Within this work we consider an axiomatic framework for Automated Market Makers (AMMs). AMMs are smart contracts that set prices for swaps on a pool of assets. By imposing reasonable axioms on the underlying utility function, we are able to…

Mathematical Finance · Quantitative Finance 2025-02-04 Maxim Bichuch , Zachary Feinstein

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…

Trading and Market Microstructure · Quantitative Finance 2025-01-15 Thanos Drossos , Daniel Kirste , Niclas Kannengießer , Ali Sunyaev

Constant function market makers (CFMMs) are the most popular type of decentralized trading venue for cryptocurrency tokens. In this paper, we give a very general geometric framework (or 'axioms') which encompass and generalize many of the…

Optimization and Control · Mathematics 2023-08-17 Guillermo Angeris , Tarun Chitra , Theo Diamandis , Alex Evans , Kshitij Kulkarni

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…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

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…

Mathematical Finance · Quantitative Finance 2022-12-22 Stefan Loesch

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…

Trading and Market Microstructure · Quantitative Finance 2024-07-25 Marcello Monga

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…

Mathematical Finance · Quantitative Finance 2026-01-27 Maxim Bichuch , Zachary Feinstein

In this paper, we introduce a novel framework to model the exchange rate dynamics between two intrinsically linked cryptoassets, such as stablecoins pegged to the same fiat currency or a liquid staking token and its associated native token.…

Trading and Market Microstructure · Quantitative Finance 2024-11-14 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant , Julien Guilbert

We develop an axiomatic theory for Automated Market Makers (AMMs) in local energy sharing markets and analyze the Markov Perfect Equilibrium of the resulting economy with a Mean-Field Game. In this game, heterogeneous prosumers solve a…

Theoretical Economics · Economics 2026-01-01 Michele Fabi , Viraj Nadkarni , Leonardo Leone , Matheus X. V. Ferreira

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:…

Trading and Market Microstructure · Quantitative Finance 2025-02-13 Austin Adams , Ciamac C. Moallemi , Sara Reynolds , Dan Robinson

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

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…

Trading and Market Microstructure · Quantitative Finance 2022-04-07 Alexander Port , Neelesh Tiruviluamala

We investigate the market microstructure of Automated Market Makers (AMMs), the most prominent type of blockchain-based decentralized exchanges. We show that the order execution mechanism yields token value loss for liquidity providers if…

Trading and Market Microstructure · Quantitative Finance 2021-07-22 Agostino Capponi , Ruizhe Jia
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