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We consider Geometric Mean Market Makers -- a special type of Decentralized Exchange -- with two types of users: liquidity takers and arbitrageurs. Liquidity takers trade at prices that can create arbitrage opportunities, while arbitrageurs…

数理金融 · 定量金融 2023-03-21 Masaaki Fukasawa , Basile Maire , Marcus Wunsch

This paper studies the optimal clearing problem for prosumers in peer-to-peer (P2P) energy markets. It is proved that if no trade weights are enforced and the communication structure between successfully traded peers is connected, then the…

系统与控制 · 电气工程与系统科学 2020-09-02 Dinh Hoa Nguyen

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…

计算工程、金融与科学 · 计算机科学 2025-01-23 Yizhou Cao , Yepeng Ding , Ruichao Jiang , Long Wen

Deep Learning is evolving fast and integrates into various domains. Finance is a challenging field for deep learning, especially in the case of interpretable artificial intelligence (AI). Although classical approaches perform very well with…

机器学习 · 计算机科学 2026-02-03 Kasymkhan Khubiev , Mikhail Semenov , Irina Podlipnova , Dinara Khubieva

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…

计算机科学与博弈论 · 计算机科学 2023-02-08 Yogev Bar-On , Yishay Mansour

The classical alternating minimization (or projection) algorithm has been successful in the context of solving optimization problems over two variables. The iterative nature and simplicity of the algorithm has led to its application to many…

信息论 · 计算机科学 2010-08-24 Urs Niesen , Devavrat Shah , Gregory Wornell

We investigate the adaptive robust control framework for portfolio optimization and loss-based hedging under drift and volatility uncertainty. Adaptive robust problems offer many advantages but require handling a double optimization problem…

最优化与控制 · 数学 2020-05-06 Tao Chen , Michael Ludkovski

In Decentralized Finance (DeFi), automated market makers typically implement liquidity provisioning protocols. These protocols allow third-party liquidity providers (LPs) to provide assets to facilitate trade in exchange for fees. This…

计算机科学与博弈论 · 计算机科学 2025-07-29 Adithya Bhaskara , Rafael Frongillo , Maneesha Papireddygari

Offline preference optimization offers a simpler and more stable alternative to RLHF for aligning language models. However, their effectiveness is critically dependent on ranking accuracy, a metric where further gains are highly impactful.…

计算与语言 · 计算机科学 2025-11-18 Ruibo Deng , Duanyu Feng , Wenqiang Lei

We introduce a new class of automated market maker (AMM), the \emph{partially active automated market maker} (PA-AMM). PA-AMM divides its reserves into two parts, the active and the passive parts, and uses only the active part for trading.…

数理金融 · 定量金融 2026-02-11 Sunghun Ko

Convex optimisation has provided a mechanism to determine arbitrage trades on automated market markets (AMMs) since almost their inception. Here we outline generic closed-form solutions for $N$-token geometric mean market maker pool…

交易与市场微观结构 · 定量金融 2024-03-28 Matthew Willetts , Christian Harrington

Automated market makers, first popularized by Hanson's logarithmic market scoring rule (or LMSR) for prediction markets, have become important building blocks, called 'primitives,' for decentralized finance. A particularly useful primitive…

交易与市场微观结构 · 定量金融 2021-01-13 Guillermo Angeris , Tarun Chitra

Decentralized exchanges, such as those employing constant product market makers (CPMMs) like Uniswap V2, play a crucial role in the blockchain ecosystem by enabling peer-to-peer token swaps without intermediaries. Despite the increasing…

计算金融 · 定量金融 2025-04-23 Yu Zhang , Yafei Li , Claudio Tessone

A data-driven approach called CaNN (Calibration Neural Network) is proposed to calibrate financial asset price models using an Artificial Neural Network (ANN). Determining optimal values of the model parameters is formulated as training…

计算金融 · 定量金融 2020-02-03 Shuaiqiang Liu , Anastasia Borovykh , Lech A. Grzelak , Cornelis W. Oosterlee

We consider derivatives written on multiple underlyings in a one-period financial market, and we are interested in the computation of model-free upper and lower bounds for their arbitrage-free prices. We work in a completely realistic…

最优化与控制 · 数学 2022-01-13 Ariel Neufeld , Antonis Papapantoleon , Qikun Xiang

Accurate price predictions are essential for market participants in order to optimize their operational schedules and bidding strategies, especially in the current context where electricity prices become more volatile and less predictable…

计算工程、金融与科学 · 计算机科学 2025-09-26 Naga Venkata Sai Jitin Jami , Juraj Kardoš , Olaf Schenk , Harald Köstler

In this paper, we consider a network of agents that jointly aim to minimise the sum of local functions subject to coupling constraints involving all local variables. To solve this problem, we propose a novel solution based on a primal-dual…

最优化与控制 · 数学 2025-02-11 Mohamed Abdelmouamin Messilem , Guido Carnevale , Ruggero Carli

We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader-follower…

交易与市场微观结构 · 定量金融 2025-03-31 Alif Aqsha , Philippe Bergault , Leandro Sánchez-Betancourt

This study presents the Adaptive Minimum-Variance Portfolio (AMVP) framework and the Adaptive Minimum-Risk Rate (AMRR) metric, innovative tools designed to optimize portfolios dynamically in volatile and nonstationary financial markets.…

计量经济学 · 经济学 2025-01-28 Ayush Jha , Abootaleb Shirvani , Ali Jaffri , Svetlozar T. Rachev , Frank J. Fabozzi

This paper describes a method for computing price signals for prosumers, incentivizing them to adjust their consumption according to the constraints of the distribution grids to which they are connected, thereby preventing voltage…

系统与控制 · 电气工程与系统科学 2025-11-20 Plouton Grammatikos , Ali Mohamed Ali , Fabrizio Sossan