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Related papers: Liquidation Dynamics in DeFi and the Role of Trans…

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The trustless nature of permissionless blockchains renders overcollateralization a key safety component relied upon by decentralized finance (DeFi) protocols. Nonetheless, factors such as price volatility may undermine this mechanism. In…

General Finance · Quantitative Finance 2021-12-14 Daniel Perez , Sam M. Werner , Jiahua Xu , Benjamin Livshits

We address the liquidation problem arising from the credit risk management in decentralised finance (DeFi) by formulating it as an ergodic optimal control problem. In decentralised derivatives exchanges, liquidation is triggered whenever…

Trading and Market Microstructure · Quantitative Finance 2024-12-02 Jialun Cao , David Šiška

This paper develops a rigorous mathematical framework for analyzing Concentrated Liquidity Market Makers (CLMMs) in Decentralized Finance (DeFi) within a continuous-time setting. We model the evolution of liquidity profiles as…

Mathematical Finance · Quantitative Finance 2024-12-25 Shen-Ning Tung , Tai-Ho Wang

Financial speculators often seek to increase their potential gains with leverage. Debt is a popular form of leverage, and with over 39.88B USD of total value locked (TVL), the Decentralized Finance (DeFi) lending markets are thriving.…

General Finance · Quantitative Finance 2021-10-04 Kaihua Qin , Liyi Zhou , Pablo Gamito , Philipp Jovanovic , Arthur Gervais

Decentralized exchanges (DEXs) are crucial to decentralized finance (DeFi) as they enable trading without intermediaries. However, they face challenges like impermanent loss (IL), where liquidity providers (LPs) see their assets' value…

Computer Science and Game Theory · Computer Science 2026-03-04 Irina Lebedeva , Dmitrii Umnov , Yury Yanovich , Ignat Melnikov , George Ovchinnikov

Passive liquidity providers (LPs) in automated market makers (AMMs) face losses due to adverse selection (LVR), which static trading fees often fail to offset in practice. We study the key determinants of LP profitability in a dynamic…

Trading and Market Microstructure · Quantitative Finance 2025-08-12 Steven Campbell , Philippe Bergault , Jason Milionis , Marcel Nutz

Liquidations in Decentralized Finance (DeFi) are both a blessing and a curse -- whereas liquidations prevent lenders from capital loss, they simultaneously lead to liquidation spirals and system-wide failures. Since most lending and…

Pricing of Securities · Quantitative Finance 2023-03-29 Kaihua Qin , Jens Ernstberger , Liyi Zhou , Philipp Jovanovic , Arthur Gervais

The evolving landscape of Decentralized Finance (DeFi) has raised critical security concerns, especially pertaining to Protocols for Loanable Funds (PLFs) and their dependency on price oracles, which are susceptible to manipulation. The…

Cryptography and Security · Computer Science 2024-01-17 Sanidhay Arora , Yingjiu Li , Yebo Feng , Jiahua Xu

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

Constant Function Market Makers (CFMMs) are a family of automated market makers that enable censorship-resistant decentralized exchange on public blockchains. Arbitrage trades have been shown to align the prices reported by CFMMs with those…

Mathematical Finance · Quantitative Finance 2021-04-02 Alex Evans , Guillermo Angeris , Tarun Chitra

Decentralized Finance (DeFi) is a rapidly evolving segment of blockchain technology that enables a transformative approach to financial services through Web3 applications. By leveraging smart contracts, DeFi allows developers to build…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Ignat Melnikov , Roman Vlasov , Vladimir Gorgadze , Andrey Seoev , Yury Yanovich

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

We study the problem of optimally hedging the price exposure of liquidity positions in constant-product automated market makers (AMMs) when the hedge is funded by collateralized borrowing. A liquidity provider (LP) who borrows tokens to…

Portfolio Management · Quantitative Finance 2026-03-23 Atsushi Hane

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

Maximal Extractable Value (MEV) refers to a class of attacks to decentralized applications where the adversary profits by manipulating the ordering, inclusion, or exclusion of transactions in a blockchain. Decentralized Finance (DeFi)…

Cryptography and Security · Computer Science 2025-10-17 Massimo Bartoletti , Riccardo Marchesin , Roberto Zunino

An automated market maker (AMM) provides a method for creating a decentralized exchange on the blockchain. For this purpose, individual investors lend liquidity to the AMM pool in exchange for a stream of fees earned from its operations as…

Mathematical Finance · Quantitative Finance 2025-09-30 Maxim Bichuch , Zachary Feinstein

Decentralized Finance (DeFi) has revolutionized financial markets by enabling complex asset-exchange protocols without trusted intermediaries. Automated Market Makers (AMMs) are a central component of DeFi, providing the core functionality…

Mathematical Finance · Quantitative Finance 2026-02-03 Marco Dessalvi , Massimo Bartoletti , Alberto Lluch-Lafuente

Decentralized Finance (DeFi) leverages blockchain-enabled smart contracts to deliver automated and trustless financial services without the need for intermediaries. However, the public visibility of financial transactions on the blockchain…

Cryptography and Security · Computer Science 2025-10-20 Huned Materwala , Shraddha M. Naik , Aya Taha , Tala Abdulrahman Abed , Davor Svetinovic

Automated Market Makers (AMMs) are a central component of decentralized exchanges, yet their equilibrium foundations and microeconomic mechanisms remain incompletely understood. This paper develops a dynamic equilibrium framework for…

General Economics · Economics 2026-03-10 Chengqi Zang , Zhenghui Wang , Weitong Zhang

We study optimal liquidation strategies under partial information for a single asset within a finite time horizon. We propose a model tailored for high-frequency trading, capturing price formation driven solely by order flow through…

Mathematical Finance · Quantitative Finance 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath
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