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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 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

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…

Computer Science and Game Theory · Computer Science 2023-11-29 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden

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,…

Theoretical Economics · Economics 2025-11-21 Chengqi Zang , Gabriel P. Andrade , Oğuzhan Ersoy

A recent approach to automated mechanism design, differentiable economics, represents auctions by rich function approximators and optimizes their performance by gradient descent. The ideal auction architecture for differentiable economics…

Computer Science and Game Theory · Computer Science 2022-02-08 Michael Curry , Tuomas Sandholm , John Dickerson

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…

Trading and Market Microstructure · Quantitative Finance 2025-06-26 Leonardo Baggiani , Martin Herdegen , Leandro Sánchez-Betancourt

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

Automated market makers (AMMs) are a new prototype of decentralised exchanges which are revolutionising market interactions. The majority of AMMs are constant product markets (CPMs) where exchange rates are set by a trading function. This…

Trading and Market Microstructure · Quantitative Finance 2025-06-19 Álvaro Cartea , Fayçal Drissi , Marcello Monga

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

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

Optimal mechanisms have been provided in quite general multi-item settings, as long as each bidder's type distribution is given explicitly by listing every type in the support along with its associated probability. In the implicit setting,…

Computer Science and Game Theory · Computer Science 2015-03-09 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

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

Finding the optimal (revenue-maximizing) mechanism to sell multiple items has been a prominent and notoriously difficult open problem. Existing work has mainly focused on deriving analytical results tailored to a particular class of…

Theoretical Economics · Economics 2026-01-09 Kento Hashimoto , Keita Kuwahara , Reo Nonaka

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

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

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…

Mathematical Finance · Quantitative Finance 2025-01-10 Hamed Amini , Maxim Bichuch , Zachary Feinstein

Using duality theory techniques we derive simple, closed-form formulas for bounding the optimal revenue of a monopolist selling many heterogeneous goods, in the case where the buyer's valuations for the items come i.i.d. from a uniform…

Computer Science and Game Theory · Computer Science 2015-10-14 Yiannis Giannakopoulos

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

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

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…

General Finance · Quantitative Finance 2023-07-26 Arman Abgaryan , Utkarsh Sharma
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