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This paper introduces and analyzes \emph{defensive rebalancing}, a novel mechanism for protecting constant-function market makers (CFMMs) from value leakage due to arbitrage. A \emph{rebalancing} transfers assets directly from one CFMM's…

Computer Science and Game Theory · Computer Science 2026-01-29 Sam Devorsetz , Maurice Herlihy

The classical theory of efficient allocations of an aggregate endowment in a pure-exchange economy has hitherto primarily focused on the Pareto-efficiency of allocations, under the implicit assumption that transfers between agents are…

Computer Science and Game Theory · Computer Science 2026-03-05 Mario Ghossoub , Giulio Principi , Ruodu Wang

This paper mathematically models a constant-function automated market maker (CFAMM) position as a portfolio of exotic options, known as perpetual American continuous-installment (CI) options. This model replicates an AMM position's delta at…

Global supply networks in agriculture, manufacturing, and services are a defining feature of the modern world. The efficiency and the distribution of surpluses across different parts of these networks depend on choices of intermediaries.…

General Finance · Quantitative Finance 2019-06-05 Felipe M. Cardoso , Carlos Gracia-Lazaro , Frederic Moisan , Sanjeev Goyal , Angel Sanchez , Yamir Moreno

Decentralized finance (DeFi) markets spread across Layer-1 (L1) and Layer-2 (L2) blockchains rely on arbitrage to keep prices aligned. Today most price gaps are closed against centralized exchanges (CEXes), whose deep liquidity and fast…

Cryptography and Security · Computer Science 2025-06-19 Burak Öz , Christof Ferreira Torres , Christoph Schlegel , Bruno Mazorra , Jonas Gebele , Filip Rezabek , Florian Matthes

Traditional market makers are losing their importance as automated systems have largely assumed the role of liquidity provision in markets. We update the model of Glosten and Milgrom (1985) to analyze this new world: we add multiple…

Trading and Market Microstructure · Quantitative Finance 2010-07-15 Austin Gerig , David Michayluk

We study the optimal routing problem in decentralized exchanges built on Constant Function Market Makers when trades can be split across multiple heterogeneous pools and execution incurs fixed on-chain costs (gas fees). While prior routing…

Optimization and Control · Mathematics 2026-03-04 Carlos Escudero , Felipe Lara , Miguel Sama

We consider the problem of optimally executing an order involving multiple crypto-assets, sometimes called tokens, on a network of multiple constant function market makers (CFMMs). When we ignore the fixed cost associated with executing an…

Optimization and Control · Mathematics 2022-04-12 Guillermo Angeris , Tarun Chitra , Alex Evans , Stephen Boyd

The popularity of cryptocurrencies has grown significantly in recent years, and they have become an important asset for internet trading. One of the main drawbacks of cryptocurrencies is the high volatility and fluctuation in value. The…

Cryptography and Security · Computer Science 2023-03-06 Wantall Newby , Nickuk Nishikawa

Automated market makers (AMMs) allocate fee revenue \textit{proportional} to the amount of liquidity investors deposit. In this paper, we study the economic consequences of the competition between passive liquidity providers (LPs) caused by…

Computer Science and Game Theory · Computer Science 2024-08-06 Julian Ma , Davide Crapis

We consider a trading marketplace that is populated by traders with diverse trading strategies and objectives. The marketplace allows the suppliers to list their goods and facilitates matching between buyers and sellers. In return, such a…

Computer Science and Game Theory · Computer Science 2022-10-03 Kshama Dwarakanath , Svitlana S Vyetrenko , Tucker Balch

A central question of the Ethereum ecosystem is where Maximal Extractable Value (MEV)revenue originates and to what extent it stems from harming unsuspecting users. It is acceptable if MEV arises from arbitrages between centralised and…

Cryptography and Security · Computer Science 2026-04-20 Bence Ladóczk , Miklós Rásonyi , János Tapolcai

Tradable mobility credit (TMC) schemes are an approach to travel demand management that have received significant attention in recent years. This paper proposes and analyzes alternative market models for a TMC system -- focusing on market…

Dynamic-weight AMMs (aka Temporal Function Market Makers, TFMMs) implement algorithmic asset allocation, analogous to index or smart beta funds, by continuously updating pools' weights. A strategy updates target weights over time, and…

Trading and Market Microstructure · Quantitative Finance 2026-02-26 Matthew Willetts , Christian Harrington

Constant function market makers (CFMMs) such as Uniswap, Balancer, Curve, and mStable, among many others, make up some of the largest decentralized exchanges on Ethereum and other blockchains. Because all transactions are public in current…

Cryptography and Security · Computer Science 2021-03-02 Guillermo Angeris , Alex Evans , Tarun Chitra

We propose a decentralized market model in which agents can negotiate bilateral contracts. This builds on a similar, but centralized, model of trading networks introduced by Hatfield et al. in 2013. Prior work has established that…

Computer Science and Game Theory · Computer Science 2025-01-29 Edwin Lock , Benjamin Patrick Evans , Eleonora Kreacic , Sujay Bhatt , Alec Koppel , Sumitra Ganesh , Paul W. Goldberg

This study provides a practical introduction to high-frequency trading in blockchain-based currency markets. These types of markets have some specific characteristics that differentiate them from the stock markets, such as a large number of…

General Economics · Economics 2023-04-19 Vittorio Astarita

Decentralized Exchanges (DEXs) are now a significant component of the financial world where billions of dollars are traded daily. Differently from traditional markets, which are typically based on Limit Order Books, DEXs typically work as…

Trading and Market Microstructure · Quantitative Finance 2025-10-28 Daniele Maria Di Nosse , Federico Gatta , Fabrizio Lillo , Sebastian Jaimungal

Decentralized exchanges (DEXes) have introduced an innovative trading mechanism, where it is not necessary to match buy-orders and sell-orders to execute a trade. DEXes execute each trade individually, and the exchange rate is automatically…

Computational Finance · Quantitative Finance 2021-10-12 Lioba Heimbach , Ye Wang , Roger Wattenhofer

Since they were authorized by the U.S. Security and Exchange Commission in 1998, electronic exchanges have boomed, and by 2010 high frequency trading accounted for over 70% of equity trades in the US. Such markets are thought to increase…

Trading and Market Microstructure · Quantitative Finance 2012-10-23 Rene Carmona , Kevin Webster