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We study a class of linear-quadratic mean-field games with incomplete information. For each agent, the state is given by a linear forward stochastic differential equation with common noise. Moreover, both the state and control variables can…

最优化与控制 · 数学 2023-07-04 Min Li , Tianyang Nie , Shunjun Wang , Ke Yan

Infinite games with imperfect information are known to be undecidable unless the information flow is severely restricted. One fundamental decidable case occurs when there is a total ordering among players, such that each player has access…

计算机科学与博弈论 · 计算机科学 2016-07-19 Dietmar Berwanger , Anup Basil Mathew , Marie van den Bogaard

Unlike Poker where the action space $\mathcal{A}$ is discrete, differential games in the physical world often have continuous action spaces not amenable to discrete abstraction, rendering no-regret algorithms with…

计算机科学与博弈论 · 计算机科学 2025-02-17 Mukesh Ghimire , Zhe Xu , Yi Ren

A methodology is developed to realized optimal channel input conditional distributions, which maximize the finite-time horizon directed information, for channels with memory and feedback, by information lossless randomized strategies. The…

信息论 · 计算机科学 2016-04-06 Charalambos D. Charalambous , Christos K. Kourtellaris , Sergey Loyka

This paper introduces a novel distributed optimization technique for networked systems, which removes the dependency on specific parameter choices, notably the learning rate. Traditional parameter selection strategies in distributed…

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

最优化与控制 · 数学 2018-04-13 Tatiana Tatarenko

We study the problem of online learning in competitive settings in the context of two-sided matching markets. In particular, one side of the market, the agents, must learn about their preferences over the other side, the firms, through…

人工智能 · 计算机科学 2022-06-07 Chinmay Maheshwari , Eric Mazumdar , Shankar Sastry

Decentralized team problems where players have asymmetric information about the state of the underlying stochastic system have been actively studied, but \emph{games} between such teams are less understood. We consider a general model of…

多智能体系统 · 计算机科学 2021-09-29 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

Decentralized optimization is typically studied under the assumption of noise-free transmission. However, real-world scenarios often involve the presence of noise due to factors such as additive white Gaussian noise channels or…

最优化与控制 · 数学 2023-07-28 Suhail M. Shah , Raghu Bollapragada

This paper is concerned with a two-person zero-sum indefinite stochastic linear-quadratic Stackelberg differential game with asymmetric informational uncertainties, where both the leader and follower face different and unknown disturbances.…

最优化与控制 · 数学 2024-07-09 Na Xiang , Jingtao Shi

A general decentralized computational framework for set-valued state estimation and prediction for the class of systems that accept a hybrid state machine representation is considered in this article. The decentralized scheme consists of a…

系统与控制 · 计算机科学 2013-02-28 Naim Bajcinca , Yashar Kouhi , Vladislav Nenchev , Jörg Raisch

This paper tackles the problem of solving stochastic optimization problems with a decision-dependent distribution in the setting of stochastic strongly-monotone games and when the distributional dependence is unknown. A two-stage approach…

系统与控制 · 电气工程与系统科学 2024-04-22 Killian Wood , Ahmed Zamzam , Emiliano Dall'Anese

We study the value and the optimal strategies for a two-player zero-sum optimal stopping game with incomplete and asymmetric information. In our Bayesian set-up, the drift of the underlying diffusion process is unknown to one player…

概率论 · 数学 2020-07-15 Tiziano De Angelis , Erik Ekström , Kristoffer Glover

This paper studies the distributed optimization problem under the influence of heavy-tailed gradient noises. Here, a heavy-tailed noise means that the noise does not necessarily satisfy the bounded variance assumption. Instead, it satisfies…

最优化与控制 · 数学 2025-05-12 Chao Sun , Huiming Zhang , Bo Chen , Li Yu

We analyze in this paper finite horizon hierarchical signaling games between (information provider) senders and (decision maker) receivers in a dynamic environment. The underlying information evolves in time while sender and receiver…

计算机科学与博弈论 · 计算机科学 2019-07-24 Muhammed O. Sayin , Emrah Akyol , Tamer Basar

Multi-agent planning in stochastic environments can be framed formally as a decentralized Markov decision problem. Many real-life distributed problems that arise in manufacturing, multi-robot coordination and information gathering scenarios…

人工智能 · 计算机科学 2011-11-02 Claudia V. Goldman , Shlomo Zilberstein

In modern decentralized applications, ensuring communication efficiency and privacy for the users are the key challenges. In order to train machine-learning models, the algorithm has to communicate to the data center and sample data for its…

最优化与控制 · 数学 2024-04-04 Hoang Huy Nguyen , Yan Li , Tuo Zhao

We consider optimal signalling and control of discrete-time nonlinear partially observable stochastic systems in state space form. In the first part of the paper, we characterize the operational {\it control-coding capacity}, $C_{FB}$ in…

信息论 · 计算机科学 2024-07-29 Charalambos D. Charalambous , Stelios Louka

We investigate the problem of designing optimal classifiers in the strategic classification setting, where the classification is part of a game in which players can modify their features to attain a favorable classification outcome (while…

机器学习 · 计算机科学 2020-05-19 Mark Braverman , Sumegha Garg

This paper presents a new safety specification method that is robust against errors in the probability distribution of disturbances. Our proposed distributionally robust safe policy maximizes the probability of a system remaining in a…

最优化与控制 · 数学 2018-10-05 Insoon Yang