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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

Automated Market Makers (AMMs) are essential in Decentralized Finance (DeFi) as they match liquidity supply with demand. They function through liquidity providers (LPs) who deposit assets into liquidity pools. However, the asset trading…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Viraj Nadkarni , Sanjeev Kulkarni , Pramod Viswanath

The role of a market maker is to simultaneously offer to buy and sell quantities of goods, often a financial asset such as a share, at specified prices. An automated market maker (AMM) is a mechanism that offers to trade according to some…

Computer Science and Game Theory · Computer Science 2024-02-15 Michael J. Curry , Zhou Fan , David C. Parkes

Self-stabilizing algorithms are an important because of their robustness and guaranteed convergence. Starting from any arbitrary state, a self-stabilizing algorithm is guaranteed to converge to a legitimate state.Those algorithms are not…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-20 Thejaka Kanewala , Marcin Zalewski , Martina Barnas , Andrew Lumsdaine

This paper demonstrates that Automated Market Maker (AMM) based markets, such as those using constant product formulas (e.g., Uniswap), are inherently path-dependent. We prove mathematically that the sequence of operations in AMMs…

Computational Engineering, Finance, and Science · Computer Science 2025-03-04 Keroshan Pillay

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

This thesis presents a fundamental rethink of electricity market design at the wholesale and balancing layers. Rather than treating markets as static spot clearing mechanisms, it reframes them as a continuously online, event driven…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Shaun Sweeney , Robert Shorten , Mark O'Malley

Stablecoins have turned out to be the "killer" use case of the growing digital asset space. However, risk management frameworks, including regulatory ones, have been largely absent. In this paper, we address the critical question of…

Risk Management · Quantitative Finance 2024-01-25 Marcel Bluhm , Adrian Cachinero Vasiljević , Sébastien Derivaux , Søren Terp Hørlück Jessen

Silkswap is an automated market maker model designed for efficient stablecoin trading with minimal price impact. The original purpose of Silkswap is to facilitate the trading of fiat-pegged stablecoins with the stablecoin Silk, but it can…

Computational Finance · Quantitative Finance 2023-02-16 Nicola Cantarutti , Alex Harker , Carter Woetzel

Stablecoins are one of the most widely capitalized type of cryptocurrency. However, their risks vary significantly according to their design and are often poorly understood. We seek to provide a sound foundation for stablecoin theory, with…

General Economics · Economics 2020-10-30 Ariah Klages-Mundt , Dominik Harz , Lewis Gudgeon , Jun-You Liu , Andreea Minca

An algorithmic stablecoin is a type of cryptocurrency managed by algorithms (i.e., smart contracts) to dynamically minimize the volatility of its price relative to a specific form of asset, e.g., US dollar. As algorithmic stablecoins have…

Cryptography and Security · Computer Science 2021-01-22 Wenqi Zhao , Hui Li , Yuming Yuan

We model incentive security in non-custodial stablecoins and derive conditions for participation in a stablecoin system across risk absorbers (vaults/CDPs) and holders of governance tokens. We apply option pricing theory to derive closed…

General Economics · Economics 2023-03-31 Lucy Huo , Ariah Klages-Mundt , Andreea Minca , Frederik Christian Münter , Mads Rude Wind

We propose a novel approach to the statistical analysis of stochastic simulation models and, especially, agent-based models (ABMs). Our main goal is to provide fully automated, model-independent and tool-supported techniques and algorithms…

General Economics · Economics 2023-11-09 Andrea Vandin , Daniele Giachini , Francesco Lamperti , Francesca Chiaromonte

Algorithmic stablecoins (AS) are one special type of stablecoins that are not backed by any asset (equiv. without collateral). They stand to revolutionize the way a sovereign fiat operates. As implemented, these coins are poorly stabilized…

Computer Science and Game Theory · Computer Science 2023-04-12 Shange Fu , Qin Wang , Jiangshan Yu , Shiping Chen

The asset trading volume on blockchain-based exchanges (DEX) increased substantially since the advent of Automated Market Makers (AMM). Yet, AMMs and their forks compete on the same blockchain, incurring unnecessary network and block-space…

Cryptography and Security · Computer Science 2021-06-21 Liyi Zhou , Kaihua Qin , Arthur Gervais

Designing automated market makers (AMMs) for prediction markets on combinatorial securities over large outcome spaces poses significant computational challenges. Prior research has primarily focused on combinatorial prediction markets…

Computer Science and Game Theory · Computer Science 2024-11-15 Prommy Sultana Hossain , Xintong Wang , Fang-Yi Yu

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

Decentralized exchanges (DEXs) face persistent challenges in liquidity retention and user engagement due to inefficiencies in conventional automated market maker (AMM) designs. This work proposes a dual-mechanism framework to address these…

Trading and Market Microstructure · Quantitative Finance 2025-02-28 CY Yan , Steve Keol , Xo Co , Nate Leung

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