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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

The recent deployment of distributed battery units in prosumer premises offer new opportunities for providing aggregated flexibility services to both distribution system operators and balance responsible parties. The optimization problem…

We analyze the market quality of centralized crypto exchanges (CEXs) and decentralized blockchain-based venues (DEXs) using a unique and comprehensive dataset. Focusing on two fundamental aspects, transaction costs and deviations from the…

Trading and Market Microstructure · Quantitative Finance 2024-09-16 Andrea Barbon , Angelo Ranaldo

Concentrated liquidity provision in decentralized exchanges presents a fundamental Impulse Control problem. Liquidity Providers (LPs) face a non-trivial trade-off between maximizing fee accrual through tight price-range concentration and…

Machine Learning · Computer Science 2026-03-10 Pranay Anchuri

We consider the market microstructure of automated market makers (AMMs) from the perspective of liquidity providers (LPs). Our central contribution is a ``Black-Scholes formula for AMMs''. We identify the main adverse selection cost…

Mathematical Finance · Quantitative Finance 2024-05-29 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden , Anthony Lee Zhang

Designing automated market makers (AMMs) for prediction markets on combinatorial securities over large outcome spaces poses significant computational challenges. Prior research has primarily focused on combinatorial prediction markets…

Computer Science and Game Theory · Computer Science 2024-11-15 Prommy Sultana Hossain , Xintong Wang , Fang-Yi Yu

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

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

Incentivizing flexible consumption of end-users is key to maximizing the value of local exchanges within Renewable Energy Communities. If centralized coordination for flexible resources planning raises concerns regarding data privacy and…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Thomas Stegen , Julien Allard , Noé Diffels , François Vallée , Mevludin Glavic , Zacharie De Grève , Bertrand Cornélusse

Automated Market Makers (AMMs) are decentralized exchange protocols that provide continuous access to token liquidity without the need for order books or traditional market makers. However, this innovation has failed to scale when it comes…

Computational Engineering, Finance, and Science · Computer Science 2025-06-02 Sumit Vohra

This paper mathematically models a constant-function automated market maker (CFAMM) position as a portfolio of exotic options, known as perpetual American continuous-installment (CI) options. This model replicates an AMM position's delta at…

Concentrated liquidity automated market makers (AMMs), such as Uniswap v3, enable liquidity providers (LPs) to earn liquidity rewards by depositing tokens into liquidity pools. However, LPs often face significant financial losses driven by…

Trading and Market Microstructure · Quantitative Finance 2025-04-24 Simon Caspar Zeller , Paul-Niklas Ken Kandora , Daniel Kirste , Niclas Kannengießer , Steffen Rebennack , Ali Sunyaev

We develop an axiomatic theory for Automated Market Makers (AMMs) in local energy sharing markets and analyze the Markov Perfect Equilibrium of the resulting economy with a Mean-Field Game. In this game, heterogeneous prosumers solve a…

Theoretical Economics · Economics 2026-01-01 Michele Fabi , Viraj Nadkarni , Leonardo Leone , Matheus X. V. Ferreira

This study explores the design of an efficient rebate policy in auction markets, focusing on a continuous-time setting with competition among market participants. In this model, a stock exchange collects transaction fees from auction…

Trading and Market Microstructure · Quantitative Finance 2025-01-23 Thibaut Mastrolia , Tianrui Xu

The diversity of prosumers' resources in energy communities can provide significant technical and economic benefits to both prosumers and the distribution system operator (DSO). To maximize these benefits, a coordination framework is…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Milad Kabirifar , Biswarup Mukherjee , S. Gokul Krishnan , Charalambos Konstantinou , Subhash Lakshminarayana

This paper conducts an empirical investigation into the effects of Designated Market Makers (DMMs) on key market quality indicators, such as liquidity, bid-ask spreads, and order fulfillment ratios. Through agent-based simulations, this…

Trading and Market Microstructure · Quantitative Finance 2024-09-26 Cong Zhou

This thesis presents a fundamental rethink of electricity market design at the wholesale and balancing layers. Rather than treating markets as static spot clearing mechanisms, it reframes them as a continuously online, event driven…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Shaun Sweeney , Robert Shorten , Mark O'Malley

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

Dynamic-weight AMMs (aka Temporal Function Market Makers, TFMMs) implement algorithmic asset allocation, analogous to index or smart beta funds, by continuously updating pools' weights. A strategy updates target weights over time, and…

Trading and Market Microstructure · Quantitative Finance 2026-02-26 Matthew Willetts , Christian Harrington

In this paper, we analyze traders' behavior within both centralized exchanges (CEXs) and decentralized exchanges (DEXs), focusing on the volatility of Bitcoin prices and the trading activity of investors engaged in perpetual future…

Trading and Market Microstructure · Quantitative Finance 2024-04-26 Erdong Chen , Mengzhong Ma , Zixin Nie