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We present a method for constructing Constant Function Market Makers (CFMMs) whose portfolio value functions match a desired payoff. More specifically, we show that the space of concave, nonnegative, nondecreasing, 1-homogeneous payoff…

Mathematical Finance · Quantitative Finance 2021-03-30 Guillermo Angeris , Alex Evans , Tarun Chitra

The programmable and composable nature of smart contract protocols has enabled the emergence of novel market structures and asset classes that are architecturally frictional to implement in traditional financial paradigms. This fluidity has…

Trading and Market Microstructure · Quantitative Finance 2025-10-08 Althea Sterrett , Austin Adams

Decentralized exchanges, such as those employing constant product market makers (CPMMs) like Uniswap V2, play a crucial role in the blockchain ecosystem by enabling peer-to-peer token swaps without intermediaries. Despite the increasing…

Computational Finance · Quantitative Finance 2025-04-23 Yu Zhang , Yafei Li , Claudio Tessone

Inspired by Bitcoin, many different kinds of cryptocurrencies based on blockchain technology have turned up on the market. Due to the special structure of the blockchain, it has been deemed impossible to directly trade between traditional…

Cryptography and Security · Computer Science 2020-05-08 Hangyu Tian , Kaiping Xue , Shaohua Li , Jie Xu , Jianqing Liu , Jun Zhao

We investigate the behavior of liquidity providers (LPs) by modeling a decentralized cryptocurrency exchange (DEX) based on Uniswap v3. LPs with heterogeneous characteristics choose optimal liquidity positions subject to uncertainty…

Trading and Market Microstructure · Quantitative Finance 2024-04-16 Erhan Bayraktar , Asaf Cohen , April Nellis

We investigate the welfare loss of continuous and discrete order matching models in blockchain-based decentralized exchanges (DEX) that utilize order books to record outstanding orders. Continuous processing matches each incoming…

Cryptography and Security · Computer Science 2025-02-18 Tiantian Gong , Zeyu Liu , Aniket Kate

We present FairTraDEX, a decentralized exchange (DEX) protocol based on frequent batch auctions (FBAs), which provides formal game-theoretic guarantees against extractable value. FBAs when run by a trusted third-party provide unique…

Computer Science and Game Theory · Computer Science 2022-08-05 Conor McMenamin , Vanesa Daza , Matthias Fitzi , Padraic O'Donoghue

Decentralized Exchanges (DEXes) enable users to create markets for exchanging any pair of cryptocurrencies. The direct exchange rate of two tokens may not match the cross-exchange rate in the market, and such price discrepancies open up…

Trading and Market Microstructure · Quantitative Finance 2022-01-17 Ye Wang , Yan Chen , Haotian Wu , Liyi Zhou , Shuiguang Deng , Roger Wattenhofer

Many classical blockchains are known to have an embarrassingly low transaction throughput, down to Bitcoin's notorious seven transactions per second limit.Various proposals and implementations for increasing throughput emerged in the first…

Cryptography and Security · Computer Science 2023-03-08 Lioba Heimbach , Quentin Kniep , Yann Vonlanthen , Roger Wattenhofer

We study decentralized markets for goods whose utility perishes in time, with compute as a primary motivation. Recent advances in reproducible and verifiable execution allow jobs to pause, verify, and resume across heterogeneous hardware,…

Theoretical Economics · Economics 2025-11-21 Chengqi Zang , Gabriel P. Andrade , Oğuzhan Ersoy

Automated Market Makers (AMMs) are an integral component of the decentralized finance (DeFi) ecosystem, as they allow users to exchange crypto-assets without the need for trusted authorities or external price oracles. Although these…

Logic in Computer Science · Computer Science 2024-02-13 Daniele Pusceddu , Massimo Bartoletti

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

Smart contracts led to the emergence of the decentralized finance (DeFi) marketplace within blockchain ecosystems, where diverse participants engage in financial activities. In traditional finance, there are possibilities to create values,…

Cryptography and Security · Computer Science 2024-06-21 Rasheed , Yash Chaurasia , Parth Desai , Sujit Gujar

Mechanisms for decentralized finance on blockchains suffer from various problems, including suboptimal price execution for users, latency, and a worse user experience compared to their centralized counterparts. Recently, off-chain…

Computer Science and Game Theory · Computer Science 2024-03-07 Tarun Chitra , Kshitij Kulkarni , Mallesh Pai , Theo Diamandis

Liquidity and trading activity on constant function market makers (CFMMs) such as Uniswap, Curve, and Balancer has grown significantly in the second half of 2020. Much of the growth of these protocols has been driven by incentivized pools…

Trading and Market Microstructure · Quantitative Finance 2020-12-16 Guillermo Angeris , Alex Evans , Tarun Chitra

Cryptocurrency has been extensively studied as a decentralized financial technology built on blockchain. However, there is a lack of understanding of user experience with cryptocurrency exchanges, the main means for novice users to interact…

Human-Computer Interaction · Computer Science 2022-06-16 Zhixuan Zhou , Bohui Shen

The goal of cryptocurrencies is decentralization. In principle, all currencies have equal status. Unlike traditional stock markets, there is no default currency of denomination (fiat), thus the trading pairs can be set freely. However, it…

Trading and Market Microstructure · Quantitative Finance 2024-03-07 Di Zhang , Youzhou Zhou

Automated Market Makers (AMMs) are major centers of matching liquidity supply and demand in Decentralized Finance. Their functioning relies primarily on the presence of liquidity providers (LPs) incentivized to invest their assets into a…

Machine Learning · Computer Science 2024-04-30 Viraj Nadkarni , Jiachen Hu , Ranvir Rana , Chi Jin , Sanjeev Kulkarni , Pramod Viswanath

Automated market makers (AMMs) are automata that trade electronic assets at rates set by mathematical formulas. AMMs are usually implemented by smart contracts on blockchains. In practice, AMMs are often composed: and outputs from AMMs can…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-01 Daniel Engel , Maurice Herlihy

We present an automated market-making (AMM) cross-settlement mechanism for digital assets on interoperable blockchains, focusing on central bank digital currencies (CBDCs) and stable coins. We develop an innovative approach for generating…

Trading and Market Microstructure · Quantitative Finance 2021-09-28 Alex Lipton , Artur Sepp