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Uniswap is a Constant Product Market Maker built around liquidity pools, where pairs of tokens are exchanged subject to a fee that is proportional to the size of transactions. At the time of writing, there exist more than 6,000 pools…

Trading and Market Microstructure · Quantitative Finance 2023-02-01 Deborah Miori , Mihai Cucuringu

Pricing storage operation in the real-time market under demand and generation stochasticities is considered. A scenario-based stochastic rolling-window dispatch model is formulated for the real-time market, consisting of conventional…

Systems and Control · Electrical Eng. & Systems 2022-10-20 Cong Chen , Lang Tong

This paper studies liquid staking tokens (LSTs) on automated market makers (AMMs), both theoretically and empirically. LSTs are tokenized representations of staked assets on proof-of-stake blockchains. First, we model LST-liquidity on AMMs…

Cryptography and Security · Computer Science 2024-07-22 Krzysztof Gogol , Robin Fritsch , Malte Schlosser , Johnnatan Messias , Benjamin Kraner , Claudio Tessone

Geometric Mean Market Makers (G3M) such as Uniswap, Sushiswap or Balancer are key building blocks of the nascent Decentralised Finance system. We establish non-arbitrage bounds for the wealth process of such Automated Market Makers in the…

Portfolio Management · Quantitative Finance 2022-06-08 Nassib Boueri

Building on our prior threshold-based analysis of six months of Poloniex trading data, we have extended both the temporal span and granularity of our study by incorporating minute-level OHLCV records for 1021 tokens around each confirmed…

Trading and Market Microstructure · Quantitative Finance 2025-04-23 Mahya Karbalaii

Supply chain management (SCM) faces significant challenges like demand fluctuations and the bullwhip effect. Traditional methods and even state-of-the-art LLMs struggle with benchmarks like the Vending Machine Test, failing to handle SCM's…

Artificial Intelligence · Computer Science 2025-12-17 Chunan Tong

We consider a strategic decision-making problem where a logistics provider (LP) seeks to locate collection and delivery points (CDPs) with the objective to reduce total logistics costs. The customers maximize utility that depends on their…

Optimization and Control · Mathematics 2025-12-09 David Pinzon Ulloa , Ammar Metnani , Emma Frejinger

This paper aims to enhance the understanding of liquidity provider (LP) returns in automated market makers (AMMs). LPs face market risk as well as adverse selection due to risky asset holdings in the pool that they provide liquidity to and…

Portfolio Management · Quantitative Finance 2023-06-19 Jason Milionis , Xin Wan , Austin Adams

Decentralized Exchanges (DEXs) are new types of marketplaces leveraging Blockchain technology. They allow users to trade assets with Automatic Market Makers (AMM), using funds provided by liquidity providers, removing the need for order…

Computer Science and Game Theory · Computer Science 2023-02-08 Yogev Bar-On , Yishay Mansour

Layer-2 (L2) blockchains inherit Ethereums security guarantees while reducing gas fees. As a result, they are gaining traction among traders at Automated Market Makers (AMMs), sparking debate over whether they contribute to liquidity…

Computational Engineering, Finance, and Science · Computer Science 2025-03-14 Krzysztof Gogol , Manvir Schneider , Claudio Tessone , Benjamin Livshits

AMMs are autonomous smart contracts deployed on a blockchain that make markets between different assets that live on that chain. In this paper we are examining a specific class of AMMs called Constant Function Market Makers whose trading…

Trading and Market Microstructure · Quantitative Finance 2021-11-18 Stefan Loesch , Nate Hindman , Mark B Richardson , Nicholas Welch

Linear programming has played a key role in the study of algorithms for combinatorial optimization problems. In the field of approximation algorithms, this is well illustrated by the uncapacitated facility location problem. A variety of…

Data Structures and Algorithms · Computer Science 2014-09-16 Hyung-Chan An , Mohit Singh , Ola Svensson

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

The emergence of Distributed Energy Resources (DERs) provides both challenges and opportunities for the planning and operations of distribution systems. These resources can be deployed in a manner that is either complementary to or in…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Marija Ilic , Matthew Gough

As LLMs are increasingly integrated into human-in-the-loop content moderation systems, a central challenge is deciding when their outputs can be trusted versus when escalation for human review is preferable. We propose a novel framework for…

Artificial Intelligence · Computer Science 2026-01-13 Or Bachar , Or Levi , Sardhendu Mishra , Adi Levi , Manpreet Singh Minhas , Justin Miller , Omer Ben-Porat , Eilon Sheetrit , Jonathan Morra

This article analytically characterizes the impermanent loss for automatic market makers in decentralized exchanges such as Uniswap or Balancer (CPMM). We present a theoretical static replication formula for the pool value using a…

Mathematical Finance · Quantitative Finance 2024-12-16 Agustín Muñoz González , Juan I. Sequeira y Ariel Dembling

Over the last two decades, the Latent Position Model (LPM) has become a prominent tool to obtain model-based visualizations of networks. However, the geometric structure of the LPM is inherently symmetric, in the sense that outgoing and…

Methodology · Statistics 2026-02-02 Chaoyi Lu , Riccardo Rastelli

We study the economic viability of liquidity provision in decentralised exchanges (DEXs) within a structural framework in which market outcomes are endogenous. We formulate strategic interactions as a sequential game: a risk-averse…

Trading and Market Microstructure · Quantitative Finance 2026-03-05 Fayçal Drissi , Xuchen Wu , Sebastian Jaimungal

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

We study the assortment optimization problem under the Sequential Multinomial Logit (SML), a discrete choice model that generalizes the multinomial logit (MNL). Under the SML model, products are partitioned into two levels, to capture…

Discrete Mathematics · Computer Science 2018-08-31 Alvaro Flores , Gerardo Berbeglia , Pascal van Hentenryck