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We develop a new type of automated market maker (AMM) that helps to maintain stability and long-term viability in a stablecoin. This primary market AMM (P-AMM) is an autonomous mechanism for pricing minting and redemption of stablecoins in…

Cryptography and Security · Computer Science 2022-12-26 Ariah Klages-Mundt , Steffen Schuldenzucker

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…

General Economics · Economics 2025-10-01 Marcelo Bagnulo , Angel Hernando-Veciana , Efthymios Smyrniotis

This paper presents a general framework for the design and analysis of exchange mechanisms between two assets that unifies and enables comparisons between the two dominant paradigms for exchange, constant function market markers (CFMMs) and…

Functional Analysis · Mathematics 2023-04-21 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden

The Alternating Direction Method of Multipliers (ADMM) is a widely used method for structured convex optimization, and its practical performance depends strongly on the choice of penalty and relaxation parameters. Motivated by settings such…

Optimization and Control · Mathematics 2026-04-30 Junan Lin , Paul J. Goulart , Luca Furieri

Supply chain formation is the process of determining the structure and terms of exchange relationships to enable a multilevel, multiagent production activity. We present a simple model of supply chains, highlighting two characteristic…

Artificial Intelligence · Computer Science 2011-07-04 W. E. Walsh , M. P. Wellman

Financial markets are inherently non-stationary, driven by complex interactions among macroeconomic regimes, microstructural frictions, and behavioral dynamics. Building quantitative strategies that remain profitable demands the continuous…

Artificial Intelligence · Computer Science 2026-05-08 Yishuo Yuan , Jiayi Sheng , Sirui Zeng , Jiaqi Wang , Jiaheng Liu

We present V0LVER, an AMM protocol which solves an incentivization trilemma between users, passive liquidity providers, and block producers. V0LVER enables users and passive liquidity providers to interact without paying MEV or incurring…

Computer Science and Game Theory · Computer Science 2023-02-16 Conor McMenamin , Vanesa Daza

The current design space of derivatives in Decentralized Finance (DeFi) relies heavily on oracle systems. Replicating market makers (RMMs) provide a mechanism for converting specific payoff functions to an associated Constant Function…

Computational Finance · Quantitative Finance 2022-06-06 Estelle Sterrett , Waylon Jepsen , Evan Kim

We consider the impact of trading fees on the profits of arbitrageurs trading against an automated market maker (AMM) or, equivalently, on the adverse selection incurred by liquidity providers (LPs) due to arbitrage. We extend the model of…

Mathematical Finance · Quantitative Finance 2025-07-24 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden

Following the recent literature on make take fees policies, we consider an exchange wishing to set a suitable contract with several market makers in order to improve trading quality on its platform. To do so, we use a principal-agent…

Trading and Market Microstructure · Quantitative Finance 2021-03-09 Bastien Baldacci , Dylan Possamaï , Mathieu Rosenbaum

Constant-function market makers (CFMMs), such as Uniswap, are automated exchanges offering trades among a set of assets. We study their technical relationship to another class of automated market makers, cost-function prediction markets. We…

Computer Science and Game Theory · Computer Science 2023-04-10 Rafael Frongillo , Maneesha Papireddygari , Bo Waggoner

Quantitative investment is a fundamental financial task that highly relies on accurate stock prediction and profitable investment decision making. Despite recent advances in deep learning (DL) have shown stellar performance on capturing…

Trading and Market Microstructure · Quantitative Finance 2022-07-18 Shuo Sun , Rundong Wang , Bo An

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

A successful Machine Learning (ML) model implementation requires three main components: training dataset, suitable model architecture and training procedure. Given dataset and task, finding an appropriate model might be challenging. AutoML,…

Quantum Physics · Physics 2025-08-19 Tomasz Rybotycki , Piotr Gawron

Decentralized finance (DeFi) is an integral component of the blockchain ecosystem, enabling a range of financial activities through smart-contract-based protocols. Traditional DeFi governance typically involves manual parameter adjustments…

Risk Management · Quantitative Finance 2025-05-08 Jiahua Xu , Yebo Feng , Daniel Perez , Benjamin Livshits

Constant function market makers (CFMMs) are a popular decentralized exchange mechanism and have recently been the subject of much research, but major CFMMs give traders no privacy. Prior work proposes randomly splitting and shuffling trades…

Computer Science and Game Theory · Computer Science 2023-09-27 Mohak Goyal , Geoffrey Ramseyer

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…

Trading and Market Microstructure · Quantitative Finance 2025-04-24 Simon Caspar Zeller , Paul-Niklas Ken Kandora , Daniel Kirste , Niclas Kannengießer , Steffen Rebennack , Ali Sunyaev

In this work, we investigate the market-making problem on a trading session in which a continuous phase on a limit order book is followed by a closing auction. Whereas standard optimal market-making models typically rely on terminal…

Trading and Market Microstructure · Quantitative Finance 2026-01-27 Julius Graf , Thibaut Mastrolia

We study axiomatic foundations for different classes of constant-function automated market makers (CFMMs). We focus particularly on separability and on different invariance properties under scaling. Our main results are an axiomatic…

Computer Science and Game Theory · Computer Science 2023-02-15 Jan Christoph Schlegel , Mateusz Kwaśnicki , Akaki Mamageishvili

Blockchains have popularized the Automated Market Makers (AMMs), where users trade crypto-assets directly with a smart contract, governed by a pricing function embedded in the contract's code. Today, users of AMMs are often forced to accept…

Computer Science and Game Theory · Computer Science 2026-05-28 Yuhao Li , Elaine Shi , Mengqian Zhang
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