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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

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

We study a continuous-time version of the intermediation model of Grossman and Miller (1988). To wit, we solve for the competitive equilibrium prices at which liquidity takers' demands are absorbed by dealers with quadratic inventory costs,…

Trading and Market Microstructure · Quantitative Finance 2021-03-03 Peter Bank , Ibrahim Ekren , Johannes Muhle-Karbe

Assuming that the price in a Uniswap v3 style Automated Market Maker (AMM) follows a Geometric Brownian Motion (GBM), we prove that the strategy that adjusts the position of liquidity to track the current price leads to a deterministic and…

Computational Engineering, Finance, and Science · Computer Science 2025-01-23 Yizhou Cao , Yepeng Ding , Ruichao Jiang , Long Wen

This research investigates liquidity dynamics in fractional ownership markets, focusing on illiquid alternative investments traded on a FinTech platform. By leveraging empirical data and employing agent-based modeling (ABM), the study…

Trading and Market Microstructure · Quantitative Finance 2024-12-05 Lars Fluri , A. Ege Yilmaz , Denis Bieri , Thomas Ankenbrand , Aurelio Perucca

This paper presents a stochastic model for discrete-time trading in financial markets where trading costs are given by convex cost functions and portfolios are constrained by convex sets. The model does not assume the existence of a cash…

Pricing of Securities · Quantitative Finance 2010-06-24 Teemu Pennanen

A prevalent market structure in the Internet economy consists of buyers and sellers connected by a platform (such as Amazon or eBay) that acts as an intermediary and keeps a share of the revenue of each transaction. While the optimal…

Computer Science and Game Theory · Computer Science 2014-09-10 Rad Niazadeh , Yang Yuan , Robert D. Kleinberg

Large Language Models (LLMs) have demonstrated remarkable potential as autonomous agents, approaching human-expert performance through advanced reasoning and tool orchestration. However, decision-making in fully dynamic and live…

Computational Finance · Quantitative Finance 2025-12-15 Tianyu Fan , Yuhao Yang , Yangqin Jiang , Yifei Zhang , Yuxuan Chen , Chao Huang

LLM agents in markets present algorithmic collusion risks. While prior work shows LLM agents reach supracompetitive prices through tacit coordination, existing research focuses on hand-crafted prompts. The emerging paradigm of prompt…

Artificial Intelligence · Computer Science 2026-04-21 Yingtao Tian

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

We present a market-based approach to the Air Traffic Flow Management (ATFM) problem. The goods in our market are delays and buyers are airline companies; the latter pay money to the FAA to buy away the desired amount of delay on a per…

Computer Science and Game Theory · Computer Science 2017-05-24 Ruta Mehta , Vijay V. Vazirani

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

Liquidity providers are essential for the function of decentralized exchanges to ensure liquidity takers can be guaranteed a counterparty for their trades. However, liquidity providers investing in liquidity pools face many risks, the most…

Trading and Market Microstructure · Quantitative Finance 2023-01-18 Rohan Tangri , Peter Yatsyshin , Elisabeth A. Duijnstee , Danilo Mandic

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

We present an automated market-making (AMM) cross-settlement mechanism for digital assets on interoperable blockchains, focusing on central bank digital currencies (CBDCs) and stable coins. We develop an innovative approach for generating…

Trading and Market Microstructure · Quantitative Finance 2021-09-28 Alex Lipton , Artur Sepp

Motivated by the emergence of local groundwater exchanges, we construct and analyze stochastic models of dynamic groundwater markets. Our primary focus is endogenizing the price formation and groundwater pumping strategies in a closed…

Trading and Market Microstructure · Quantitative Finance 2026-05-27 Igor Cialenco , Michael Ludkovski

We study a large economy in which firms cannot compute exact solutions to the non-linear equations that characterize the equilibrium price at which they can sell future output. Instead, firms use polynomial expansions to approximate prices.…

Economics · Quantitative Finance 2016-11-08 Wolfgang Kuhle

This work analytically characterizes impermanent loss for automated market makers (AMMs) in decentralized markets such as Uniswap or Balancer (CPMM). We derive a static replication formula for the pool's value using a combination of…

Risk Management · Quantitative Finance 2025-03-31 Agustin Muñoz Gonzalez , Juan Ignacio Sequeira , Ariel Dembling

When agents trade in a Duality-based Cost Function prediction market, they collectively implement the learning algorithm Follow-The-Regularized-Leader. We ask whether other learning algorithms could be used to inspire the design of…

Machine Learning · Computer Science 2025-05-08 Enrique Nueve , Bo Waggoner

We consider a market where a finite number of players trade an asset whose supply is a stochastic process. The price formation problem consists of finding a price process that ensures that when agents act optimally to minimize their trading…

Analysis of PDEs · Mathematics 2022-08-15 Diogo Gomes , Julian Gutierrez , Ricardo Ribeiro