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Coalitional control is concerned with the management of multi-agent systems where cooperation cannot be taken for granted (due to, e.g., market competition, logistics). This paper proposes a model predictive control (MPC) framework aimed at…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Filiberto Fele , Ezequiel Debada , José M. Maestre , Eduardo F. Camacho

Artificial intelligence requires deliberate reasoning, temporal awareness, and effective constraint management, capabilities traditional LLMs often lack due to their reliance on pattern matching, limited self-verification, and inconsistent…

Artificial Intelligence · Computer Science 2025-01-30 Edward Y. Chang

Modified policy iteration (MPI) is a dynamic programming algorithm that combines elements of policy iteration and value iteration. The convergence of MPI has been well studied in the context of discounted and average-cost MDPs. In this…

Machine Learning · Computer Science 2024-02-16 Yashaswini Murthy , Mehrdad Moharrami , R. Srikant

We discuss the problem of decentralized multi-agent reinforcement learning (MARL) in this work. In our setting, the global state, action, and reward are assumed to be fully observable, while the local policy is protected as privacy by each…

Multiagent Systems · Computer Science 2021-11-02 Kuo Li , Qing-Shan Jia

Multi-armed bandits (MAB) model sequential decision making problems, in which a learner sequentially chooses arms with unknown reward distributions in order to maximize its cumulative reward. Most of the prior work on MAB assumes that the…

Machine Learning · Computer Science 2018-03-22 Onur Atan , Cem Tekin , Mihaela van der Schaar

We consider the problem of distributed online learning with multiple players in multi-armed bandits (MAB) models. Each player can pick among multiple arms. When a player picks an arm, it gets a reward. We consider both i.i.d. reward model…

Optimization and Control · Mathematics 2016-11-18 Dileep Kalathil , Naumaan Nayyar , Rahul Jain

The human-agent team, which is a problem in which humans and autonomous agents collaborate to achieve one task, is typical in human-AI collaboration. For effective collaboration, humans want to have an effective plan, but in realistic…

Artificial Intelligence · Computer Science 2021-09-02 Ryo Nakahashi , Seiji Yamada

We study a decentralized multi-agent multi-armed bandit problem in which multiple clients are connected by time dependent random graphs provided by an environment. The reward distributions of each arm vary across clients and rewards are…

Machine Learning · Computer Science 2023-10-19 Mengfan Xu , Diego Klabjan

The explore{exploit dilemma is one of the central challenges in Reinforcement Learning (RL). Bayesian RL solves the dilemma by providing the agent with information in the form of a prior distribution over environments; however, full…

Machine Learning · Computer Science 2012-03-19 Jonathan Sorg , Satinder Singh , Richard L. Lewis

Multi-objective Bayesian optimization aims to find the Pareto front of trade-offs between a set of expensive objectives while collecting as few samples as possible. In some cases, it is possible to evaluate the objectives separately, and a…

Machine Learning · Statistics 2025-03-04 Jack M. Buckingham , Sebastian Rojas Gonzalez , Juergen Branke

We develop a hierarchical Bayesian dynamic game for competitive inventory and pricing under incomplete information. Two firms repeatedly choose order quantities and prices while facing two layers of uncertainty: unknown market demand and…

Methodology · Statistics 2026-03-09 Debashis Chatterjee

We formulate and analyze a general class of stochastic dynamic games with asymmetric information arising in dynamic systems. In such games, multiple strategic agents control the system dynamics and have different information about the…

Computer Science and Game Theory · Computer Science 2015-10-26 Yi Ouyang , Hamidreza Tavafoghi , Demosthenis Teneketzis

Bayesian inference provides a principled framework for learning from complex data and reasoning under uncertainty. It has been widely applied in machine learning tasks such as medical diagnosis, drug design, and policymaking. In these…

Machine Learning · Computer Science 2023-10-16 Wanrong Zhang , Ruqi Zhang

In this paper, we propose a reinforcement learning algorithm to solve a multi-agent Markov decision process (MMDP). The goal, inspired by Blackwell's Approachability Theorem, is to lower the time average cost of each agent to below a…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Keshav P. Keval , Vivek S. Borkar

This paper studies a decentralized homogeneous multi-armed bandit problem in a multi-agent network. The problem is simultaneously solved by $N$ agents assuming they face a common set of $M$ arms and share the same arms' reward…

Machine Learning · Computer Science 2024-12-31 Jingxuan Zhu , Ethan Mulle , Christopher S. Smith , Alec Koppel , Ji Liu

Artificial intelligence has recently experienced remarkable advances, fueled by large models, vast datasets, accelerated hardware, and, last but not least, the transformative power of differentiable programming. This new programming…

Machine Learning · Computer Science 2025-06-25 Mathieu Blondel , Vincent Roulet

We address the optimal design of a large scale multi-agent system where each agent has discrete and/or continuous decision variables that need to be set so as to optimize the sum of linear local cost functions, in presence of linear local…

Optimization and Control · Mathematics 2017-06-28 Alessandro Falsone , Kostas Margellos , Maria Prandini

We consider problems in sequential decision making with natural multi-level structure, where sub-tasks are assembled together to accomplish complex goals. Systematically inferring and leveraging hierarchical structure has remained a…

Machine Learning · Computer Science 2026-03-11 Sichen Yang , Mauro Maggioni

We present differentially private algorithms for the stochastic Multi-Armed Bandit (MAB) problem. This is a problem for applications such as adaptive clinical trials, experiment design, and user-targeted advertising where private…

Machine Learning · Statistics 2015-11-30 Aristide Tossou , Christos Dimitrakakis

Most reinforcement learning algorithms seek a single optimal strategy that solves a given task. However, it can often be valuable to learn a diverse set of solutions, for instance, to make an agent's interaction with users more engaging, or…

Machine Learning · Computer Science 2024-01-09 Wentse Chen , Shiyu Huang , Yuan Chiang , Tim Pearce , Wei-Wei Tu , Ting Chen , Jun Zhu