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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

Recent financial bubbles such as the emergence of cryptocurrencies and "meme stocks" have gained increasing attention from both retail and institutional investors. In this paper, we propose a game-theoretic model on optimal liquidation in…

Mathematical Finance · Quantitative Finance 2024-02-02 Ludovic Tangpi , Shichun Wang

Distributed securities exchanges may become de facto fragmented if they span geographical regions with asymmetric computer infrastructure. First, we build an economic model of a decentralized exchange with two miner clusters, standing in…

Trading and Market Microstructure · Quantitative Finance 2019-11-07 Marius Zoican , Sorin Zoican

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

This paper presents ZePoP, a leader election protocol for distributed systems, optimizing a delay-based closeness centrality. We design the protocol specifically for the Peer to Peer(P2P) applications, where the leader peer (node) is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-08 Md Amjad Hossain , Javed I. Khan

Opening up data produced by the Internet of Things (IoT) and mobile devices for public utilization can maximize their economic value. Challenges remain in the trustworthiness of the data sources and the security of the trading process,…

Cryptography and Security · Computer Science 2025-11-25 Yue Li , Ifteher Alom , Wenhai Sun , Yang Xiao

In this paper, we will consider a governance token pricing algorithm that conducts liquidity operations on AMM (CPMM) DEXs (automated market maker decentralized exchanges) with liquidity that belongs to a decentralized autonomous…

Cryptography and Security · Computer Science 2022-03-18 Aleksei Pupyshev , Ilya Sapranidi , Shamil Khalilov

Liquidation of collateral are the primary safeguard for solvency of lending protocols in decentralized finance. However, the mechanics of liquidations expose these protocols to predatory price manipulations and other forms of Maximal…

Mathematical Finance · Quantitative Finance 2026-02-13 Agathe Sadeghi , Zachary Feinstein

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

The decentralized exchange (DEX) leverages smart contracts to trade digital assets for users on the blockchain. Developers usually develop several smart contracts into one project, implementing complex logic functions and multiple…

Software Engineering · Computer Science 2024-12-19 Zongwei Li , Wenkai Li , Xiaoqi Li , Yuqing Zhang

Analyzing data owned by several parties while achieving a good trade-off between utility and privacy is a key challenge in federated learning and analytics. In this work, we introduce a novel relaxation of local differential privacy (LDP)…

Machine Learning · Computer Science 2022-03-08 Edwige Cyffers , Aurélien Bellet

Automated Market Makers (AMMs) have cemented themselves as an integral part of the decentralized finance (DeFi) space. AMMs are a type of exchange that allows users to trade assets without the need for a centralized exchange. They form the…

Machine Learning · Computer Science 2022-11-29 Dev Churiwala , Bhaskar Krishnamachari

Cyclic arbitrage chances exist abundantly among decentralized exchanges (DEXs), like Uniswap V2. For an arbitrage cycle (loop), researchers or practitioners usually choose a specific token, such as Ether as input, and optimize their input…

Computational Finance · Quantitative Finance 2024-06-25 Yu Zhang , Zichen Li , Tao Yan , Qianyu Liu , Nicolo Vallarano , Claudio Tessone

In this work, we present an application of the probabilistic weak formulation of mean field games (MFG) for modeling liquidity pools in a constant product automated market maker (AMM) protocol in the context of decentralized finance. Our…

Optimization and Control · Mathematics 2026-04-14 Agustín Muñoz González , Juan I. Sequeira , Rafael Orive Illera

We study recurrent patterns in volatility and volume for major cryptocurrencies, Bitcoin and Ether, using data from two centralized exchanges (Coinbase Pro and Binance) and a decentralized exchange (Uniswap V2). We find systematic patterns…

Trading and Market Microstructure · Quantitative Finance 2021-11-05 Peter Reinhard Hansen , Chan Kim , Wade Kimbrough

Three traits of decentralized finance are studied. First, the market impact function is derived for optimal-growth liquidity providers. For a standard random walk, the classic square-root impact is recovered. An extension is then derived to…

Portfolio Management · Quantitative Finance 2026-01-19 B. K. Meister

As of August 2022, blockchain-based assets boast a combined market capitalisation exceeding one trillion USD, among which the most prominent are the decentralised autonomous organisation (DAO) tokens associated with decentralised finance…

General Economics · Economics 2025-05-08 Teng Andrea Xu , Jiahua Xu , Kristof Lommers

Traditional methods for identifying impactful liquidity providers (LPs) in Concentrated Liquidity Market Makers (CLMMs) rely on broad measures, such as nominal capital size or surface-level activity, which often lead to inaccurate risk…

Machine Learning · Computer Science 2025-07-28 Ali RajabiNekoo , Laleh Rasoul , Amirfarhad Farhadi , Azadeh Zamanifar

The rapid growth of Decentralized Finance (DeFi) boosts the Ethereum ecosystem. At the same time, attacks towards DeFi applications (apps) are increasing. However, to the best of our knowledge, existing smart contract vulnerability…

Cryptography and Security · Computer Science 2021-05-03 Siwei Wu , Dabao Wang , Jianting He , Yajin Zhou , Lei Wu , Xingliang Yuan , Qinming He , Kui Ren

The properties of tokens within the Ethereum blockchain, such as their current prices, trade volumes, and potential future values, have been the subjects of numerous studies. Employing social networks and graphs, as powerful tools for…

Social and Information Networks · Computer Science 2023-10-24 Aryan Soltani Mohammadi , Moein Karami , Amir Pasha Motamed , Behnam Bahrak