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A portfolio of different stocks and a risk-less security whose composition is dynamically maintained stable by trading shares at any time step leads to a growth of the capital with a nonrandom rate. This is the key for the theory of…

无序系统与神经网络 · 物理学 2008-12-02 M. Serva

We study the problem of fair online resource allocation via non-monetary mechanisms, where multiple agents repeatedly share a resource without monetary transfers. Previous work has shown that every agent can guarantee $1/2$ of their ideal…

计算机科学与博弈论 · 计算机科学 2025-05-27 David X. Lin , Daniel Hall , Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

With the fast development of quantitative portfolio optimization in financial engineering, lots of AI-based algorithmic trading strategies have demonstrated promising results, among which reinforcement learning begins to manifest…

数理金融 · 定量金融 2023-03-10 Huifang Huang , Ting Gao , Pengbo Li , Jin Guo , Peng Zhang , Nan Du

We design and analyze minimax-optimal algorithms for online linear optimization games where the player's choice is unconstrained. The player strives to minimize regret, the difference between his loss and the loss of a post-hoc benchmark…

机器学习 · 计算机科学 2013-02-12 H. Brendan McMahan

In the online bipartite matching with reassignments problem, an algorithm is initially given only one side of the vertex set of a bipartite graph; the vertices on the other side are revealed to the algorithm one by one, along with its…

数据结构与算法 · 计算机科学 2020-03-12 Yongho Shin , Kangsan Kim , Seungmin Lee , Hyung-Chan An

Motivated by recent advances in the spectral theory of auto-covariance matrices, we are led to revisit a reformulation of Markowitz' mean-variance portfolio optimization approach in the time domain. In its simplest incarnation it applies to…

投资组合管理 · 定量金融 2016-06-22 Peter A. Bebbington , Reimer Kuehn

We consider a variation on the problem of prediction with expert advice, where new forecasters that were unknown until then may appear at each round. As often in prediction with expert advice, designing an algorithm that achieves…

机器学习 · 统计学 2017-09-01 Jaouad Mourtada , Odalric-Ambrym Maillard

Matching algorithms have demonstrated great success in several practical applications, but they often require centralized coordination and plentiful information. In many modern online marketplaces, agents must independently seek out and…

计算机科学与博弈论 · 计算机科学 2025-01-14 Vade Shah , Bryce L. Ferguson , Jason R. Marden

Balanced and swap-robust minimal trades, introduced in [1], are important for studying the balance and stability of server access request protocols under data popularity changes. Constructions of such trades have so far relied on paired…

信息论 · 计算机科学 2023-03-24 Jin Sima , Chao Pan , Olgica Milenkovic

Matching platforms, from ridesharing to food delivery to competitive gaming, face a fundamental operational dilemma: match agents immediately to minimize waiting costs, or delay to exploit the efficiency gains of thicker markets. Yet…

最优化与控制 · 数学 2026-01-30 Jie Liu , Hailun Zhang , Jiheng Zhang

A pair-trading strategy is an approach that utilizes the fluctuations between prices of a pair of stocks in a short-term time frame, while in the long-term the pair may exhibit a strong association and co-movement pattern. When the prices…

投资组合管理 · 定量金融 2022-11-23 Jaydip Sen

In this work we initiate the study of buy-and-sell prophet inequalities. We start by considering what is arguably the most fundamental setting. In this setting the online algorithm observes a sequence of prices one after the other. At each…

数据结构与算法 · 计算机科学 2023-05-26 José Correa , Andrés Cristi , Paul Dütting , Mohammad Hajiaghayi , Jan Olkowski , Kevin Schewior

Cryptocurrency is a cryptography-based digital asset with extremely volatile prices. Around USD 70 billion worth of cryptocurrency is traded daily on exchanges. Trading cryptocurrency is difficult due to the inherent volatility of the…

计算金融 · 定量金融 2024-12-12 Hongshen Yang , Avinash Malik

In this paper we propose a new robust algorithm to find the optimal static replicating portfolios for general nonlinear payoff functions and give the estimate of the rate of convergence that is absent in the literature. We choose the static…

计算金融 · 定量金融 2014-06-23 Jingtang Ma , Dongya Deng , Harry Zheng

This paper presents an innovative online portfolio selection model, situated within a meta-learning framework, that leverages a mixture policies strategy. The core idea is to simulate a fund that employs multiple fund managers, each skilled…

最优化与控制 · 数学 2025-05-13 Jiayu Shen , Jia Liu , Zhiping Chen

We consider an ideal closed stock market, in which 100 traders have economic activities. The assets of the traders change through buying and selling stocks. We simulate the assets under conservation of both total currency and total number…

统计力学 · 物理学 2008-12-10 Yoshikazu Ohtaki , Hiroshi H. Hasegawa

We study the problem of pure exploration in matching markets under uncertain preferences, where the goal is to identify a stable matching with confidence parameter $\delta$ and minimal sample complexity. Agents learn preferences via…

计算机科学与博弈论 · 计算机科学 2025-09-19 Tejas Pagare , Agniv Bandyopadhyay , Sandeep Juneja

We consider some classical optimization problems in path planning and network transport, and we introduce new auction-based algorithms for their optimal and suboptimal solution. The algorithms are based on mathematical ideas that are…

最优化与控制 · 数学 2022-07-21 Dimitri Bertsekas

The use of machine learning in algorithmic trading systems is increasingly common. In a typical set-up, supervised learning is used to predict the future prices of assets, and those predictions drive a simple trading and execution strategy.…

机器学习 · 计算机科学 2023-07-19 Vikram Duvvur , Aashay Mehta , Edward Sun , Bo Wu , Ken Yew Chan , Jeff Schneider

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

综合金融 · 定量金融 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló