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Stochastic dynamic teams and games are rich models for decentralized systems and challenging testing grounds for multi-agent learning. Previous work that guaranteed team optimality assumed stateless dynamics, or an explicit coordination…

Optimization and Control · Mathematics 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

Decision-making for autonomous driving is challenging, considering the complex interactions among multiple traffic agents (e.g., autonomous vehicles (AVs), human drivers, and pedestrians) and the computational load needed to evaluate these…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Mushuang Liu , Ilya Kolmanovsky , H. Eric Tseng , Suzhou Huang , Dimitar Filev , Anouck Girard

Transmitters of a multiple access channel are assumed to freely choose their power control strategy in order to be energy-efficient. We show that in a stochastic game framework, we can develop energy-efficient distributed control strategies…

Computer Science and Game Theory · Computer Science 2011-07-25 François Mériaux , Maël Le Treust , Samson Lasaulce , Michel Kieffer

We study Nash equilibria learning of a general-sum stochastic game with an unknown transition probability density function. Agents take actions at the current environment state and their joint action influences the transition of the…

Systems and Control · Electrical Eng. & Systems 2022-10-19 Yan Chen , Tao Li

We study the distribution of strategies in a large game that models how agents choose among different double auction markets. We classify the possible mean field Nash equilibria, which include potentially segregated states where an agent…

Computer Science and Game Theory · Computer Science 2018-09-05 Robin Nicole , Peter Sollich

The distributed computation of equilibria and optima has seen growing interest in a broad collection of networked problems. We consider the computation of equilibria of convex stochastic Nash games characterized by a possibly nonconvex…

Optimization and Control · Mathematics 2019-08-05 Jinlong Lei , Uday V. Shanbhag

We study the stochastic assignment game and extend it to model multimodal mobility markets with a regulator or a Mobility-as-a-Service (MaaS) platform. We start by presenting general forms of one-to-one and many-to-many stochastic…

Computer Science and Game Theory · Computer Science 2025-12-23 Bingqing Liu , David Watling , Joseph Y. J. Chow

In this paper, we present a framework for multi-agent learning in a nonstationary dynamic network environment. More specifically, we examine projected gradient play in smooth monotone repeated network games in which the agents'…

Computer Science and Game Theory · Computer Science 2024-08-13 Feras Al Taha , Kiran Rokade , Francesca Parise

This paper studies the stochastic optimal control problem for systems with unknown dynamics. First, an open-loop deterministic trajectory optimization problem is solved without knowing the explicit form of the dynamical system. Next, a…

Systems and Control · Computer Science 2017-05-30 Dan Yu , Mohammadhussein Rafieisakhaei , Suman Chakravorty

This paper investigates methods for estimating the optimal stochastic control policy for a Markov Decision Process with unknown transition dynamics and an unknown reward function. This form of model-free reinforcement learning comprises…

Machine Learning · Computer Science 2019-12-06 Brandon Trabucco , Albert Qu , Simon Li , Ganeshkumar Ashokavardhanan

In this paper, the problem of finding a Nash equilibrium of a multi-player game is considered. The players are only aware of their own cost functions as well as the action space of all players. We develop a relatively fast algorithm within…

Systems and Control · Computer Science 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

Consider a two-player zero-sum stochastic game where the transition function can be embedded in a given feature space. We propose a two-player Q-learning algorithm for approximating the Nash equilibrium strategy via sampling. The algorithm…

Machine Learning · Computer Science 2019-06-04 Zeyu Jia , Lin F. Yang , Mengdi Wang

Designing optimal interdependent networks is important for the robustness and efficiency of national critical infrastructures. Here, we establish a two-person game-theoretic model in which two network designers choose to maximize the global…

Social and Information Networks · Computer Science 2016-02-26 Juntao Chen , Quanyan Zhu

This work studies Nash equilibrium seeking for a class of stochastic aggregative games, where each player has an expectation-valued objective function depending on its local strategy and the aggregate of all players' strategies. We propose…

Optimization and Control · Mathematics 2022-05-17 Tongyu Wang , Peng Yi , Jie Chen

In a social network, individuals express their opinions on several interdependent topics, and therefore the evolution of their opinions on these topics is also mutually dependent. In this work, we propose a differential game model for the…

Social and Information Networks · Computer Science 2024-02-23 Hossein B. Jond , Aykut Yıldız

Distributed strategic learning has been getting attention in recent years. As systems become distributed finding Nash equilibria in a distributed fashion is becoming more important for various applications. In this paper, we develop a…

Optimization and Control · Mathematics 2012-10-02 A. F. Hanif , H. Tembine , M. Assaad , D. Zeghlache

Existing settings of decentralized learning either require players to have full information or the system to have certain special structure that may be hard to check and hinder their applicability to practical systems. To overcome this, we…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Yan Jiang , Wenqi Cui , Baosen Zhang , Jorge Cortés

We study a stochastic game framework with dynamic set of players, for modeling and analyzing their computational investment strategies in distributed computing. Players obtain a certain reward for solving the problem or for providing their…

Computer Science and Game Theory · Computer Science 2019-11-19 Swapnil Dhamal , Walid Ben-Ameur , Tijani Chahed , Eitan Altman , Albert Sunny , Sudheer Poojary

We consider a team game reward, and we derive a stochastic Pontryagin's maximum principle for distributed stochastic differential systems with decentralized noisy information structures. Our methodology utilizes the semi martingale…

Optimization and Control · Mathematics 2013-04-12 Charalambos D. Charalambous , N. U. Ahmed

This paper studies optimal consensus tracking problem of heterogeneous linear multi-agent systems. By introducing tracking error dynamics, the optimal tracking problem is reformulated as finding a Nash-equilibrium solution of a multi-player…

Optimization and Control · Mathematics 2019-05-21 Jilie Zhang , Zhanshan Wang , Hongwei Zhang