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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

Batch auctions are a classical market microstructure, acclaimed for their fairness properties, and have received renewed interest in the context of blockchain-based financial systems. Constant function market makers (CFMMs) are another…

Computer Science and Game Theory · Computer Science 2024-06-24 Geoffrey Ramseyer , Mohak Goyal , Ashish Goel , David Mazières

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

Constant-function market makers (CFMMs), such as Uniswap, are automated exchanges offering trades among a set of assets. We study their technical relationship to another class of automated market makers, cost-function prediction markets. We…

Computer Science and Game Theory · Computer Science 2023-04-10 Rafael Frongillo , Maneesha Papireddygari , Bo Waggoner

Two popular forms of automated market makers are constant sum and constant product (CSMM and CPMM respectively). Each has its advantages and disadvantages: CSMMs have stable exchange rates but are vulnerable to arbitrage and can sometimes…

Trading and Market Microstructure · Quantitative Finance 2022-04-07 Alexander Port , Neelesh Tiruviluamala

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

Statistical Finance · Quantitative Finance 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

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

Constant Function Market Makers (CFMMs) are a tool for creating exchange markets, have been deployed effectively in prediction markets, and are now especially prominent in the Decentralized Finance ecosystem. We show that for any set of…

Computer Science and Game Theory · Computer Science 2023-03-06 Mohak Goyal , Geoffrey Ramseyer , Ashish Goel , David Mazières

Automated market makers (AMMs) are a new type of trading venues which are revolutionising the way market participants interact. At present, the majority of AMMs are constant function market makers (CFMMs) where a deterministic trading…

Trading and Market Microstructure · Quantitative Finance 2024-07-25 Marcello Monga

Automated market makers (AMMs) are a new prototype of decentralised exchanges which are revolutionising market interactions. The majority of AMMs are constant product markets (CPMs) where exchange rates are set by a trading function. This…

Trading and Market Microstructure · Quantitative Finance 2025-06-19 Álvaro Cartea , Fayçal Drissi , Marcello Monga

We study decentralized markets for goods whose utility perishes in time, with compute as a primary motivation. Recent advances in reproducible and verifiable execution allow jobs to pause, verify, and resume across heterogeneous hardware,…

Theoretical Economics · Economics 2025-11-21 Chengqi Zang , Gabriel P. Andrade , Oğuzhan Ersoy

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

Non Fungible Token (NFT) Industry has been witnessing multi-million dollar trade in recent times. With rapid innovation of the NFT market environment by technology, innovation, and decentralization, it is becoming hard to distinguish…

General Finance · Quantitative Finance 2022-01-19 Mayukh Mukhopadhyay , Kaushik Ghosh

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

The rise of Ethereum and other blockchains that support smart contracts has led to the creation of decentralized exchanges (DEXs), such as Uniswap, Balancer, Curve, mStable, and SushiSwap, which enable agents to trade cryptocurrencies…

Optimization and Control · Mathematics 2021-07-28 Guillermo Angeris , Akshay Agrawal , Alex Evans , Tarun Chitra , Stephen Boyd

This paper presents a new interacting particle system and uses it as a spin model for financial market microstructure. The asymptotic analysis of this stochastic process exhibits a lower bound to the contemporaneous measurement of price and…

Probability · Mathematics 2009-11-10 Ted Theodosopoulos

Financial markets have been extensively studied as highly complex evolving systems. In this paper, we quantify financial price fluctuations through a coupled dynamical system composed of phase oscillators. We find a Financial Coherence and…

Statistical Finance · Quantitative Finance 2016-05-10 Shangmei Zhao , Qiuchao Xie , Qing Lu , Xin Jiang , Wei Chen

Within this work we consider an axiomatic framework for Automated Market Makers (AMMs). AMMs are smart contracts that set prices for swaps on a pool of assets. By imposing reasonable axioms on the underlying utility function, we are able to…

Mathematical Finance · Quantitative Finance 2025-02-04 Maxim Bichuch , Zachary Feinstein

The effective allocation of cross-border trading capacities is one of the central challenges for the implementation of a pan-European internal energy market. In contrast to traditional power flow-ignorant methods like net transfer…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Richard Weinhold , Robert Mieth

We seek to deepen understanding of the micro-foundations of institutionalization while contributing to a sociological theory of markets by investigating the puzzle of price bubbles in financial markets. We find that such markets, despite…

General Finance · Quantitative Finance 2016-09-16 Sheen S. Levine , Edward J. Zajac
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