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The problem of synthesizing stochastic explicit model predictive control policies is known to be quickly intractable even for systems of modest complexity when using classical control-theoretic methods. To address this challenge, we present…

Machine Learning · Computer Science 2022-05-24 Ján Drgoňa , Sayak Mukherjee , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

In this paper, a Stackelberg game is built to model the hierarchic power allocation of primary user (PU) network and secondary user (SU) network in OFDM-based cognitive radio (CR) networks. We formulate the PU and the SUs as the leader and…

Computer Science and Game Theory · Computer Science 2012-11-27 Tian Zhang , Wei Chen , Zhu Han , Zhigang Cao

Stochastic patrol routing is known to be advantageous in adversarial settings; however, the optimal choice of stochastic routing strategy is dependent on a model of the adversary. We adopt a worst-case omniscient adversary model from the…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Yohan John , Gilberto Diaz-Garcia , Xiaoming Duan , Jason R. Marden , Francesco Bullo

In this paper, the benefits of distributed energy resources (DERs) are considered in an energy management scheme for a smart community consisting of a large number of residential units (RUs) and a shared facility controller (SFC). A…

Systems and Control · Computer Science 2014-06-24 Wayes Tushar , Bo Chai , Chau Yuen , David B. Smith , Kristin L. Wood , Zaiyue Yang , H. Vincent Poor

In this article, a \underline{S}tate-dependent \underline{M}ulti-\underline{A}gent \underline{D}eep \underline{D}eterministic \underline{P}olicy \underline{G}radient (\textbf{SMADDPG}) method is proposed in order to learn an optimal control…

Systems and Control · Electrical Eng. & Systems 2024-11-25 Mi Zhou , Jiazhi Li , Masood Mortazavi , Ning Yan , Chaouki Abdallah

We analyze independent policy-gradient (PG) learning in $N$-player linear-quadratic (LQ) stochastic differential games. Each player employs a distributed policy that depends only on its own state and updates the policy independently using…

Optimization and Control · Mathematics 2026-02-19 Philipp Plank , Yufei Zhang

Many real-world strategic games involve interactions between multiple players. We study a hierarchical multi-player game structure, where players with asymmetric roles can be separated into leaders and followers, a setting often referred to…

Machine Learning · Computer Science 2022-10-25 Yaolong Yu , Haifeng Xu , Haipeng Chen

Achieving the economical and stable operation of Multi-microgrids (MMG) systems is vital. However, there are still some challenging problems to be solved. Firstly, from the perspective of stable operation, it is necessary to minimize the…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Yijian Wang , Yang Cui , Yang Li , Yang Xu

We address the problem of mechanism design for two-stage repeated stochastic games -- a novel setting using which many emerging problems in next-generation electricity markets can be readily modeled. Repeated playing affords the players a…

Theoretical Economics · Economics 2022-10-20 Bharadwaj Satchidanandan , Munther A. Dahleh

In this paper, we study the problem of consensus-based distributed optimization where a network of agents, abstracted as a directed graph, aims to minimize the sum of all agents' cost functions collaboratively. In existing distributed…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Xiaomeng Chen , Lingying Huang , Lidong He , Subhrakanti Dey , Ling Shi

Distributed model predictive control (MPC) is either cooperative or competitive, and control-theoretic properties have been less studied in the competitive (e.g., game theory) setting. This paper studies MPC with linear dynamics and a…

Optimization and Control · Mathematics 2017-09-27 Yonatan Mintz , John Audie Cabrera , Jhoanna Rhodette Pedrasa , Anil Aswani

From a perspective of designing or engineering for opinion formation games in social networks, the "opinion maximization (or minimization)" problem has been studied mainly for designing subset selecting algorithms. We define a two-player…

Computer Science and Game Theory · Computer Science 2022-12-20 Po-An Chen , Chi-Jen Lu , Chuang-Chieh Lin , Ke-Wei Fu

Reinforcement Learning (RL) algorithms have been successfully applied to real world situations like illegal smuggling, poaching, deforestation, climate change, airport security, etc. These scenarios can be framed as Stackelberg security…

Machine Learning · Computer Science 2022-12-01 Saptarashmi Bandyopadhyay , Chenqi Zhu , Philip Daniel , Joshua Morrison , Ethan Shay , John Dickerson

This paper is about a set-based computing method for solving a general class of two-player zero-sum Stackelberg differential games. We assume that the game is modeled by a set of coupled nonlinear differential equations, which can be…

Optimization and Control · Mathematics 2019-09-10 Xuhui Feng , Mario E. Villanueva , Boris Houska

It has been shown recently that physics-based simulation significantly enhances the disassembly capabilities of real-world assemblies with diverse 3D shapes and stringent motion constraints. However, the efficiency suffers when tackling…

Robotics · Computer Science 2025-02-25 Chao Lei , Nir Lipovetzky , Krista A. Ehinger

Here we present a ground-breaking new postulate for game theory. The first part of this postulate contains the axiomatic observation that all games are created by a designer, whether they are: e.g., (dynamic/static) or…

Computer Science and Game Theory · Computer Science 2015-06-02 Jie Dong , Nicole Sawyer , David Smith

To counter an imminent multi-drone attack on a city, defenders have deployed drones across the city. These drones must intercept/eliminate the threat, thus reducing potential damage from the attack. We model this as a Sequential Stackelberg…

Multiagent Systems · Computer Science 2025-08-18 Dolev Mutzari , Tonmoay Deb , Cristian Molinaro , Andrea Pugliese , V. S. Subrahmanian , Sarit Kraus

State-of-the-art distributed algorithms for reinforcement learning rely on multiple independent agents, which simultaneously learn in parallel environments while asynchronously updating a common, shared policy. Moreover, decentralized…

Robotics · Computer Science 2021-02-02 Guillaume Sartoretti , William Paivine , Yunfei Shi , Yue Wu , Howie Choset

Decentralized optimization has emerged as a critical paradigm for distributed learning, enabling scalable training while preserving data privacy through peer-to-peer collaboration. However, existing methods often suffer from communication…

Machine Learning · Computer Science 2026-01-06 Yijie Zhou , Shi Pu

Mobile data offloading is an emerging technology to avoid congestion in cellular networks and improve the level of user satisfaction. In this paper, we develop a distributed market framework to price the offloading service, and conduct a…

Networking and Internet Architecture · Computer Science 2014-09-17 Kehao Wang , Francis C. M. Lau , Lin Chen , Robert Schober