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Silkswap is an automated market maker model designed for efficient stablecoin trading with minimal price impact. The original purpose of Silkswap is to facilitate the trading of fiat-pegged stablecoins with the stablecoin Silk, but it can…

Computational Finance · Quantitative Finance 2023-02-16 Nicola Cantarutti , Alex Harker , Carter Woetzel

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

We consider Uniswap-like automated market makers, and, specifically, constant product liquidity pools, operating on blockchains. An important feature of Uniswap is the ability for a trader to carry out a sequence of asset swaps atomically,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-28 Jon Michael Aanes , Jesper Balman Gravgaard , Peter Bro Miltersen , Kurt Nielsen , Mohsen Pourpouneh

Constant-product market making functions were first introduced by Hayden Adams in 2017 to create Uniswap, a decentralised exchange on Ethereum. This enables users to exchange assets at any given rate. Some variations such as Balancer and…

Computer Science and Game Theory · Computer Science 2023-01-23 Théodore Conrad , Arthur Vinciguerra , Guillaume Méroué

An automated market maker where the price can cross the zero bound into the negative price domain with applications in electricity, energy, and derivatives markets is presented. A unique feature involves the ability to swap both negatively…

Trading and Market Microstructure · Quantitative Finance 2024-11-27 Vasily Tolstikov

Uniswap -- and other constant product markets -- appear to work well in practice despite their simplicity. In this paper, we give a simple formal analysis of constant product markets and their generalizations, showing that, under some…

Trading and Market Microstructure · Quantitative Finance 2021-02-11 Guillermo Angeris , Hsien-Tang Kao , Rei Chiang , Charlie Noyes , Tarun Chitra

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

We propose a mathematically rigorous framework for identifying and completing Coincidence of Wants (CoW) cycles in decentralized exchange (DEX) aggregators. Unlike existing auction based systems such as CoWSwap, our approach introduces an…

Computer Science and Game Theory · Computer Science 2025-07-15 Abhimanyu Nag , Madhur Prabhakar , Tanuj Behl

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

We present a family of multi-asset automated market makers whose liquidity curves are derived from the financial principles of self financing transactions and rebalancing. The constant product market maker emerges as a special case.

Mathematical Finance · Quantitative Finance 2022-05-10 Eric Forgy , Leo Lau

Automated market makers (AMM) have grown to obtain significant market share within the cryptocurrency ecosystem, resulting in a proliferation of new products pursuing exotic strategies for horizontal differentiation. Yet, their theoretical…

Trading and Market Microstructure · Quantitative Finance 2021-05-07 Johannes Rude Jensen , Mohsen Pourpouneh , Kurt Nielsen , Omri Ross

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

Automated market makers (AMMs) are automata that trade electronic assets at rates set by mathematical formulas. AMMs are usually implemented by smart contracts on blockchains. In practice, AMMs are often composed: and outputs from AMMs can…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-01 Daniel Engel , Maurice Herlihy

This article analytically characterizes the impermanent loss of concentrated liquidity provision for automatic market makers in decentralised markets such as Uniswap. We propose two static replication formulas for the impermanent loss by a…

General Finance · Quantitative Finance 2023-03-03 Jun Deng , Hua Zong , Yun Wang

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

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 presents a new financial market simulator that may be used as a tool in both industry and academia for research in market microstructure. It allows multiple automated traders and/or researchers to simultaneously connect to an…

Trading and Market Microstructure · Quantitative Finance 2020-08-31 Thiago W. Alves , Ionut Florescu , George Calhoun , Dragos Bozdog

We propose Ping-Pong Swaps: A secure pure peer-to-peer crosschain swap mechanism of tokens or cryptocurrencies that does not require escrow nor an intermediate trusted third party. The only technical requirement is to be able to open…

Cryptography and Security · Computer Science 2023-01-11 Cyril Grunspan , Ricardo Perez-Marco

This paper presents an agent-based artificial cryptocurrency market in which heterogeneous agents buy or sell cryptocurrencies, in particular Bitcoins. In this market, there are two typologies of agents, Random Traders and Chartists, which…

Trading and Market Microstructure · Quantitative Finance 2014-06-26 Luisanna Cocco , Giulio Concas , Michele Marchesi

Decentralized exchange platforms such as Uniswap and Balancer operate on several pools where each pool contains two or more cryptocurrencies and constitutes direct trading pairs. The drawbacks here are that liquidity providing requires…

Information Theory · Computer Science 2025-07-31 Wittawat Kositwattanarerk
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