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Stablecoins face an unresolved trilemma of balancing decentralization, stability, and regulatory compliance. We present a hybrid stabilization protocol that combines crypto-collateralized reserves, algorithmic futures contracts, and…

Cryptography and Security · Computer Science 2025-06-09 Shengwei You , Andrey Kuehlkamp , Jarek Nabrzyski

Decentralised Finance (DeFi) applications constitute an entire financial ecosystem deployed on blockchains. Such applications are based on complex protocols and incentive mechanisms whose financial safety is hard to determine. Besides,…

Software Engineering · Computer Science 2022-09-19 Massimo Bartoletti , James Chiang , Tommi Junttila , Alberto Lluch Lafuente , Massimiliano Mirelli , Andrea Vandin

Financial options are fundamental to traditional markets, enabling strategies ranging from hedging to speculating. Yet, while the Automated Market Maker paradigm has revolutionized decentralized spot markets, no equivalent standard has…

Mathematical Finance · Quantitative Finance 2026-05-20 Maxim Bichuch , Zachary Feinstein

Peer-to-peer (P2P) electricity markets enable prosumers to minimize their costs, which has been extensively studied in recent research. However, there are several challenges with P2P trading when physical network constraints are also…

Systems and Control · Electrical Eng. & Systems 2023-08-10 Hien Thanh Doan , Truong Hoang Bao Huy , Daehee Kim , Hongseok Kim

Uniswap v3 is the largest decentralized exchange for digital currencies. A novelty of its design is that it allows a liquidity provider (LP) to allocate liquidity to one or more closed intervals of the price of an asset instead of the full…

Cryptography and Security · Computer Science 2024-08-19 Zhou Fan , Francisco Marmolejo-Cossío , Daniel J. Moroz , Michael Neuder , Rithvik Rao , David C. Parkes

We study liquidity on decentralized exchanges (DEXs), identifying factors at the platform, blockchain, token pair, and liquidity pool levels with predictive power for market depth metrics. We introduce the v2 counterfactual spread metric, a…

Trading and Market Microstructure · Quantitative Finance 2025-01-20 Brian Z. Zhu , Dingyue Liu , Xin Wan , Gordon Liao , Ciamac C. Moallemi , Brad Bachu

Minimizing the peak power consumption and matching demand to supply, under fixed threshold polices, are two key requirements for the success of the future electricity market. In this work, we consider dynamic pricing methods to minimize the…

Optimization and Control · Mathematics 2016-10-26 Zaid Almahmoud , Jacob Crandall , Khaled Elbassioni , Trung Thanh Nguyen , Mardavij Roozbehani

We consider the pricing of derivatives in a setting with trading restrictions, but without any probabilistic assumptions on the underlying model, in discrete and continuous time. In particular, we assume that European put or call options…

Mathematical Finance · Quantitative Finance 2015-06-09 Alexander M. G. Cox , Zhaoxu Hou , Jan Obloj

We develop static and dynamic approaches for hedging of the impermanent loss (IL) of liquidity provision (LP) staked at Decentralised Exchanges (DEXes) which employ Uniswap V2 and V3 protocols. We provide detailed definitions and formulas…

Mathematical Finance · Quantitative Finance 2024-07-09 Alexander Lipton , Vladimir Lucic , Artur Sepp

We develop a mixed control framework that combines absolutely continuous controls with impulse interventions subject to stochastic execution delays. The model extends current impulse control formulations by allowing (i) the controller to…

Trading and Market Microstructure · Quantitative Finance 2026-02-20 Philippe Bergault , Yadh Hafsi , Leandro Sánchez-Betancourt

Uniswap is a decentralized exchange (DEX) and was first launched on November 2, 2018 on the Ethereum mainnet [1] and is part of an Ecosystem of products in Decentralized Finance (DeFi). It replaces a traditional order book type of trading…

Trading and Market Microstructure · Quantitative Finance 2021-06-29 Andreas A. Aigner , Gurvinder Dhaliwal

Decentralized Finance (DeFi) applications introduce novel financial instruments replicating and extending traditional ones through blockchain-based smart contracts. Among these applications, DeFi derivatives protocols enable the creation…

Computer Science and Game Theory · Computer Science 2026-05-05 Luca Pennella , Pietro Saggese , Fabio Pinelli , Letterio Galletta

Explicit robust hedging strategies for convex or concave payoffs under a continuous semimartingale model with uncertainty and small transaction costs are constructed. In an asymptotic sense, the upper and lower bounds of the cumulative…

Pricing of Securities · Quantitative Finance 2012-01-13 Masaaki Fukasawa

A payment channel network is a blockchain-based overlay mechanism that allows parties to transact more efficiently than directly using the blockchain. These networks are composed of payment channels that carry transactions between pairs of…

Networking and Internet Architecture · Computer Science 2026-03-10 Suryanarayana Sankagiri , Bruce Hajek

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

In traditional banking, repeated deposit-and-lend cycles let a single dollar of reserves support multiple dollars of claims. Decentralized finance produces an analogous structure with tokens. Constructing a Token Graph of 10,200 tokens…

General Economics · Economics 2026-03-31 Wenbin Wu

Liquidity Providers on Automated Market Makers generate millions of USD in transaction fees daily. However, the net value of a Liquidity Position is vulnerable to price changes in the underlying assets in the pool. The dominant measure of…

Computational Engineering, Finance, and Science · Computer Science 2022-12-29 Adam Khakhar , Xi Chen

Load aggregators are independent private entities whose goal is to optimize energy consumption flexibilities offered by multiple residential consumers. Although aggregators optimize their decisions in a decentralized way, they are…

Optimization and Control · Mathematics 2020-08-28 Paulin Jacquot

Abstract This paper proposes a novel approach to Bermudan swaption hedging by applying the deep hedging framework to address limitations of traditional arbitrage-free methods. Conventional methods assume ideal conditions, such as zero…

Computational Finance · Quantitative Finance 2024-11-18 Kenjiro Oya

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