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Decentralized Finance (DeFi) money markets have seen explosive growth in recent years, with billions of dollars borrowed in various cryptocurrency assets. Key to the safety of money markets is the implementation of interest rates that…

Risk Management · Quantitative Finance 2024-07-16 Yuval Boneh

As cryptocurrency evolved, new financial instruments, such as lending and borrowing protocols, currency exchanges, fungible and non-fungible tokens (NFT), staking and mining protocols have emerged. A financial ecosystem built on top of a…

Trading and Market Microstructure · Quantitative Finance 2023-10-12 Priyanka Bose , Dipanjan Das , Fabio Gritti , Nicola Ruaro , Christopher Kruegel , Giovanni Vigna

Since the inception of permissionless blockchains with Bitcoin in 2008, it became apparent that their most well-suited use case is related to making the financial system and its advantages available to everyone seamlessly without depending…

General Finance · Quantitative Finance 2023-06-16 Georgios Palaiokrassas , Sandro Scherrers , Iason Ofeidis , Leandros Tassiulas

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

We investigate the most common type of blockchain-based decentralized exchange, which are known as constant function market makers (CFMMs). We examine the the market microstructure around CFMMs and present a model for valuing the liquidity…

Cryptography and Security · Computer Science 2023-06-21 Richard Dewey , Craig Newbold

Arbitrage can arise from the simultaneous purchase and sale of the same asset in different markets in order to profit from a difference in its price. This work systematically reviews arbitrage opportunities between Automated Market Makers…

Cryptography and Security · Computer Science 2024-06-27 Krzysztof Gogol , Johnnatan Messias , Deborah Miori , Claudio Tessone , Benjamin Livshits

Constant function market makers (CFMMs) such as Uniswap have facilitated trillions of dollars of digital asset trades and have billions of dollars of liquidity. One natural question is how to optimally route trades across a network of CFMMs…

Optimization and Control · Mathematics 2023-02-13 Theo Diamandis , Max Resnick , Tarun Chitra , Guillermo Angeris

The paper underscores how decentralization in sports betting addresses the drawbacks of traditional centralized platforms, ensuring transparency, security, and lower fees. Non-custodial solutions empower bettors with ownership of funds,…

Computers and Society · Computer Science 2023-09-25 Daniel Jiwoong Im , Alexander Kondratskiy , Vincent Harvey , Hsuan-Wei Fu

Trading on decentralized exchanges has been one of the primary use cases for permissionless blockchains with daily trading volume exceeding billions of U.S.~dollars. In the status quo, users broadcast transactions and miners are responsible…

Computer Science and Game Theory · Computer Science 2023-10-31 Matheus V. X. Ferreira , David C. Parkes

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

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

Constant function market makers (CFMMs) are the most popular type of decentralized trading venue for cryptocurrency tokens. In this paper, we give a very general geometric framework (or 'axioms') which encompass and generalize many of the…

Optimization and Control · Mathematics 2023-08-17 Guillermo Angeris , Tarun Chitra , Theo Diamandis , Alex Evans , Kshitij Kulkarni

Automated market makers (AMMs) are smart contracts that automatically trade electronic assets according to a mathematical formula. This paper investigates how an AMM's formula affects the interests of liquidity providers, who endow the AMM…

Other Computer Science · Computer Science 2021-10-20 Daniel Engel , Maurice Herlihy

Maximal Extractable Value (MEV) has become a critical issue for blockchain ecosystems, as it enables validators or block proposers to extract value by ordering, including or censoring users' transactions. This paper aims to present a formal…

Computer Science and Game Theory · Computer Science 2023-06-30 Bruno Mazorra , Nicolás Della Penna

We consider a prediction market in which all aspects are controlled by market forces, in particular the correct outcomes of events are decided by the market itself rather than by trusted arbiters. This kind of a decentralized prediction…

Cryptography and Security · Computer Science 2017-03-09 Iddo Bentov , Alex Mizrahi , Meni Rosenfeld

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

AI agents are increasingly used in consumer-facing applications to assist with tasks such as product search, negotiation, and transaction execution. In this paper, we explore a future scenario where both consumers and merchants authorize AI…

Artificial Intelligence · Computer Science 2025-09-23 Shenzhe Zhu , Jiao Sun , Yi Nian , Tobin South , Alex Pentland , Jiaxin Pei

We introduce a new class of automated market maker (AMM), the \emph{partially active automated market maker} (PA-AMM). PA-AMM divides its reserves into two parts, the active and the passive parts, and uses only the active part for trading.…

Mathematical Finance · Quantitative Finance 2026-02-11 Sunghun Ko

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

It is well known that users on open blockchains are tracked by an industry providing services to governments, law enforcement, secret services, and alike. While most blockchains do not protect their users' privacy and allow external…

Cryptography and Security · Computer Science 2021-06-08 Duc V. Le , Arthur Gervais