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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

Decentralized prediction markets (DePMs) allow open participation in event-based wagering without fully relying on centralized intermediaries. We review the history of DePMs which date back to 2011 and includes hundreds of proposals.…

Computational Engineering, Finance, and Science · Computer Science 2026-03-16 Nahid Rahman , Joseph Al-Chami , Jeremy Clark

We develop a mathematical framework to optimize leveraged staking ("loopy") strategies in Decentralized Finance (DeFi), in which a staked asset is supplied as collateral, the underlying is borrowed and re-staked, and the loop can be…

Mathematical Finance · Quantitative Finance 2026-01-21 Bastien Baude , Vincent Danos , Hamza El Khalloufi

Multifractality is a concept that helps compactly grasping the most essential features of the financial dynamics. In its fully developed form, this concept applies to essentially all mature financial markets and even to more liquid…

Statistical Finance · Quantitative Finance 2024-11-15 Marcin Wątorek , Marcin Królczyk , Jarosław Kwapień , Tomasz Stanisz , Stanisław Drożdż

Decentralized finance, powered by blockchain technology, is growing day by day. This field, which emerged a few years ago, today manages $70 billion in assets. In this study, the concept of decentralized finance is discussed and explained…

General Finance · Quantitative Finance 2023-04-05 Mansur Bestas

Decentralized Finance (DeFi) services are moving traditional financial operations to the Internet of Value (IOV) by exploiting smart contracts, distributed ledgers, and clever heterogeneous transactions among different protocols. The…

General Economics · Economics 2023-07-18 Teng Andrea Xu , Jiahua Xu

We develop several innovations to bring the best practices of traditional investment funds to the blockchain landscape. Specifically, we illustrate how: 1) fund prices can be updated regularly like mutual funds; 2) performance fees can be…

Cryptography and Security · Computer Science 2024-07-30 Ravi Kashyap

This paper aims to enhance the understanding of liquidity provider (LP) returns in automated market makers (AMMs). LPs face market risk as well as adverse selection due to risky asset holdings in the pool that they provide liquidity to and…

Portfolio Management · Quantitative Finance 2023-06-19 Jason Milionis , Xin Wan , Austin Adams

The decentralized and trustless nature of cryptocurrencies and blockchain technology leads to a shift in the digital world. The possibility to execute small programs, called smart contracts, on cryptocurrencies like Ethereum opened doors to…

Cryptography and Security · Computer Science 2021-01-15 Hendrik Amler , Lisa Eckey , Sebastian Faust , Marcel Kaiser , Philipp Sandner , Benjamin Schlosser

This paper presents the results of a comprehensive empirical study of losses to arbitrageurs (following the formalization of loss-versus-rebalancing by [Milionis et al., 2022]) incurred by liquidity providers on automated market makers…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-23 Robin Fritsch , Andrea Canidio

A central challenge in blockchain tokenomics is aligning short-term performance incentives with long-term decentralization goals. We propose a framework for algorithmic monetary policies that navigates this tradeoff in repeated…

Computer Science and Game Theory · Computer Science 2025-12-19 Diodato Ferraioli , Paolo Penna , Manvir Schneider , Carmine Ventre

Cryptocurrencies, as decentralized digital assets, have experienced rapid growth and adoption, with over 23,000 cryptocurrencies and a market capitalization nearing \$1.1 trillion (about \$3,400 per person in the US) as of 2023. This…

Machine Learning · Computer Science 2024-10-21 Jannatun Nayeem Pinky , Ramya Akula

We are tackling the problem of trading real-world private information using only cryptographic protocols and a public blockchain to guarantee honest transactions. In this project, we consider three types of agents --buyers, sellers and…

Cryptography and Security · Computer Science 2019-07-31 Ariel Futoransky , Carlos Sarraute , Ariel Waissbein , Daniel Fernandez , Matias Travizano , Martin Minnoni

We construct liquidity-adjusted return and volatility using purposely designed liquidity metrics (liquidity jump and liquidity diffusion) that incorporate additional liquidity information. Based on these measures, we introduce a…

Statistical Finance · Quantitative Finance 2025-03-13 Qi Deng , Zhong-guo Zhou

Automated market makers, first popularized by Hanson's logarithmic market scoring rule (or LMSR) for prediction markets, have become important building blocks, called 'primitives,' for decentralized finance. A particularly useful primitive…

Trading and Market Microstructure · Quantitative Finance 2021-01-13 Guillermo Angeris , Tarun Chitra

Decentralized finance (DeFi) is known for its unique mechanism design, which applies smart contracts to facilitate peer-to-peer transactions. The decentralized bank is a typical DeFi application. Ideally, a decentralized bank should be…

General Economics · Economics 2025-08-11 Yufan Zhang , Zichao Chen , Yutong Sun , Yulin Liu , Luyao Zhang

We present the cognitive architecture of an autonomous agent for active portfolio management in decentralized finance, involving activities such as asset selection, portfolio balancing, liquidity provision, and trading. Partial…

Artificial Intelligence · Computer Science 2021-12-02 Ali Raheman , Anton Kolonin , Ben Goertzel , Gergely Hegykozi , Ikram Ansari

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

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

In a decentralized environment, exchanging resources requires users to bargain until an agreement is found. Moreover, human agreements involve a combination of collaborative and selfish behavior and often induce circularity, complicating…

Cryptography and Security · Computer Science 2022-07-26 Lorenzo Ceragioli , Letterio Galletta , Pierpaolo Degano , Luca Viganò
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