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Automated Market Makers (AMMs) are decentralized applications that allow users to exchange crypto-tokens without the need for a matching exchange order. AMMs are one of the most successful DeFi use cases: indeed, major AMM platforms process…

Cryptography and Security · Computer Science 2022-07-20 Massimo Bartoletti , James Hsin-yu Chiang , Alberto Lluch-Lafuente

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

In recent years, blockchain has gained widespread attention as an emerging technology for decentralization, transparency, and immutability in advancing online activities over public networks. As an essential market process, auctions have…

Cryptography and Security · Computer Science 2022-11-29 Zeshun Shi , Cees de Laat , Paola Grosso , Zhiming Zhao

Automated Market Makers (AMMs) are emerging as a popular decentralised trading platform. In this work, we determine the optimal dynamic fees in a constant function market maker. We find approximate closed-form solutions to the control…

Trading and Market Microstructure · Quantitative Finance 2025-06-26 Leonardo Baggiani , Martin Herdegen , Leandro Sánchez-Betancourt

As an integral part of the decentralized finance (DeFi) ecosystem, decentralized exchanges (DEXs) with automated market maker (AMM) protocols have gained massive traction with the recently revived interest in blockchain and distributed…

Trading and Market Microstructure · Quantitative Finance 2023-03-16 Jiahua Xu , Krzysztof Paruch , Simon Cousaert , Yebo Feng

Automated Market Makers (AMMs) have cemented themselves as an integral part of the decentralized finance (DeFi) space. AMMs are a type of exchange that allows users to trade assets without the need for a centralized exchange. They form the…

Machine Learning · Computer Science 2022-11-29 Dev Churiwala , Bhaskar Krishnamachari

We study a novel automated market maker design: the function maximizing AMM (FM-AMM). Our central assumption is that trades are batched before execution. Because of competition between arbitrageurs, the FM-AMM eliminates arbitrage profits…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-20 Andrea Canidio , Robin Fritsch

This paper compares mathematical models for automated market makers including logarithmic market scoring rule (LMSR), liquidity sensitive LMSR (LS-LMSR), constant product/mean/sum, and others. It is shown that though LMSR may not be a good…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Yongge Wang

With the emergence of decentralized finance, new trading mechanisms called Automated Market Makers have appeared. The most popular Automated Market Makers are Constant Function Market Makers. They have been studied both theoretically and…

Trading and Market Microstructure · Quantitative Finance 2023-11-21 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant

Ensuring sufficient liquidity is one of the key challenges for designers of prediction markets. Various market making algorithms have been proposed in the literature and deployed in practice, but there has been little effort to evaluate…

Trading and Market Microstructure · Quantitative Finance 2010-09-09 Aseem Brahma , Sanmay Das , Malik Magdon-Ismail

Prediction markets are powerful mechanisms for information aggregation, but existing designs are optimized for single-event contracts. In practice, traders frequently express beliefs about joint outcomes - through parlays in sports,…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Ranvir Rana , Viraj Nadkarni , Niusha Moshrefi , Pramod Viswanath

Executing smart contracts is a compute and storage-intensive task, which currently dominates modern blockchain's performance. Given that computers are becoming increasingly multicore, concurrency is an attractive approach to improve…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Yaron Hay , Roy Friedman

Automated Market Makers (AMMs) are used to provide liquidity for combinatorial prediction markets that would otherwise be too thinly traded. They offer both buy and sell prices for any of the doubly exponential many possible securities that…

Computer Science and Game Theory · Computer Science 2025-10-16 Maneesha Papireddygari , Xintong Wang , Bo Waggoner , David M. Pennock

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

In this paper, we introduce a novel framework to model the exchange rate dynamics between two intrinsically linked cryptoassets, such as stablecoins pegged to the same fiat currency or a liquid staking token and its associated native token.…

Trading and Market Microstructure · Quantitative Finance 2024-11-14 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant , Julien Guilbert

This paper revisits the Arrow-Debreu general equilibrium framework through the lens of effective trade, emphasizing the distinction between theoretical and realizable market interactions. We develop the Effective Trade Model (ETM), where…

Theoretical Economics · Economics 2025-12-02 Nizar Riane

We consider the Arrow--Debreu exchange market model under the assumption that the agents' demands satisfy the weak gross substitutes (WGS) property. We present a simple auction algorithm that obtains an approximate market equilibrium for…

Computer Science and Game Theory · Computer Science 2022-05-03 Jugal Garg , Edin Husić , László A. Végh

Market-based mechanisms such as auctions are being studied as an appropriate means for resource allocation in distributed and mulitagent decision problems. When agents value resources in combination rather than in isolation, they must often…

Artificial Intelligence · Computer Science 2013-01-30 Craig Boutilier , Moises Goldszmidt , Bikash Sabata

An automated market maker (AMM) provides a method for creating a decentralized exchange on the blockchain. For this purpose, individual investors lend liquidity to the AMM pool in exchange for a stream of fees earned from its operations as…

Mathematical Finance · Quantitative Finance 2025-09-30 Maxim Bichuch , Zachary Feinstein

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