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Decentralized Finance (DeFi) enables many novel applications that were impossible in traditional finances. However, it also introduces new types of vulnerabilities. An example of such vulnerabilities is a composability bug between token…

Cryptography and Security · Computer Science 2025-04-11 Sujin Han , Jinseo Kim , Sung-Ju Lee , Insu Yun

Matching markets are of particular interest in computer science and economics literature as they are often used to model real-world phenomena where we aim to equitably distribute a limited amount of resources to multiple agents and…

Computer Science and Game Theory · Computer Science 2021-10-01 Andrew Yang , Bruce Changlong Xu , Ivan Villa-Renteria

This paper develops a robust mathematical framework for Constant Function Market Makers (CFMMs) by transitioning from traditional token reserve analyses to a coordinate system defined by price and intrinsic liquidity. We establish a…

Mathematical Finance · Quantitative Finance 2026-03-03 Jimmy Risk , Shen-Ning Tung , Tai-Ho Wang

In the Decentralized Finance (DeFi) setting, we present a new parametrized family of Constant Function Market Makers (CFMMs) which we call the Generalized Mean Market Makers (G3Ms), based on the generalized means. The G3Ms are intermediate…

Trading and Market Microstructure · Quantitative Finance 2022-08-16 Daniel Z. Zanger

Automated market makers (AMMs) quote prices from pool state rather than from a limit order book. AMM pools often stay close to a reference price because arbitrageurs correct profitable mispricing. A large part of decentralized finance…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 Peihao Li , Nadia Dahmani , Wenqi Cai

Blockchains are widely used for secure transaction processing, but their scalability remains limited, and existing multichain designs are typically static even as demand and capacity shift. We cast blockchain configuration as a multiagent…

Cryptography and Security · Computer Science 2026-02-27 Nimrod Talmon , Haim Zysberg

Recently, several new pari-mutuel mechanisms have been introduced to organize markets for contingent claims. Hanson introduced a market maker derived from the logarithmic scoring rule, and later Chen and Pennock developed a cost function…

Trading and Market Microstructure · Quantitative Finance 2009-02-17 Shipra Agrawal , Erick Delage , Mark Peters , Zizhuo Wang , Yinyu Ye

In this article we consider combinatorial markets with valuations only for singletons and pairs of buy/sell-orders for swapping two items in equal quantity. We provide an algorithm that permits polynomial time market-clearing and -pricing.…

Optimization and Control · Mathematics 2017-10-30 Johannes C. Müller , Sebastian Pokutta , Alexander Martin , Susanne Pape , Andrea Peter , Thomas Winter

Designing automated market makers (AMMs) is crucial for decentralized token exchanges in cryptoeconomic systems. At the intersection of software engineering and economics, AMM design is complex and, if done incorrectly, can lead to…

Trading and Market Microstructure · Quantitative Finance 2025-03-24 Daniel Kirste , Niclas Kannengießer , Ricky Lamberty , Ali Sunyaev

Given the low throughput of blockchains like Bitcoin and Ethereum, scalability - the ability to process an increasing number of transactions - has become a central focus of blockchain research. One promising approach is the parallelization…

Computer Science and Game Theory · Computer Science 2025-08-11 Bahar Acilan , Andrei Constantinescu , Lioba Heimbach , Roger Wattenhofer

In the ever evolving landscape of decentralized finance automated market makers (AMMs) play a key role: they provide a market place for trading assets in a decentralized manner. For so-called bluechip pairs, arbitrage activity provides a…

Statistical Finance · Quantitative Finance 2025-05-16 Abe Alexander , Lars Fritz

We design a simple ascending-price algorithm to compute a $(1+\varepsilon)$-approximate equilibrium in Arrow-Debreu exchange markets with weak gross substitute (WGS) property, which runs in time polynomial in market parameters and $\log…

Computer Science and Game Theory · Computer Science 2016-05-31 Xiaohui Bei , Jugal Garg , Martin Hoefer

We describe a plausible probabilistic model for a blockchain queueing environment in which rational, profit-maximising schedulers impose adversarial disciplines on incoming messages containing a payload that encodes a state transition in a…

Probability · Mathematics 2023-02-17 Andrew W. Macpherson

Automated marker makers (AMMs) are a class of decentralized exchanges that enable the automated trading of digital assets. They accept deposits of digital tokens from liquidity providers (LPs); tokens can be used by traders to execute…

Computer Science and Game Theory · Computer Science 2024-11-18 Weizhao Tang , Rachid El-Azouzi , Cheng Han Lee , Ethan Chan , Giulia Fanti

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

Automated market makers are a popular mechanism used on decentralized exchange, through which users trade assets with each other directly and automatically through a liquidity pool and a fixed pricing function. The liquidity provider…

Mathematical Finance · Quantitative Finance 2024-11-27 Xue Dong He , Chen Yang , Yutian Zhou

Recent results, establishing evidence of intractability for such restrictive utility functions as additively separable, piecewise-linear and concave, under both Fisher and Arrow-Debreu market models, have prompted the question of whether we…

Computer Science and Game Theory · Computer Science 2010-10-21 Vijay V. Vazirani

This paper introduces a trade ordering rule that aims to reduce intra-block price volatility in Automated Market Maker (AMM) powered decentralized exchanges. The ordering rule introduced here, Clever Look-ahead Volatility Reduction (CLVR),…

Computer Science and Game Theory · Computer Science 2026-05-29 Robert McLaughlin , Nir Chemaya , Dingyue Liu , Dahlia Malkhi

The Fisher market is one of the most fundamental models for resource allocation problems in economic theory, wherein agents spend a budget of currency to buy goods that maximize their utilities, while producers sell capacity constrained…

Computer Science and Game Theory · Computer Science 2021-06-22 Devansh Jalota , Marco Pavone , Qi Qi , Yinyu Ye

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant
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