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The increasing integration of renewable energy introduces a great challenge to the supply and demand balance of the power grid. To address this challenge, this paper formulates a Stackelberg Markov game (SMG) between an aggregator and…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Siying Huang , Yifen Mu , Ge Chen

Stackelberg security games are a critical tool for maximizing the utility of limited defense resources to protect important targets from an intelligent adversary. Motivated by green security, where the defender may only observe an…

Computer Science and Game Theory · Computer Science 2020-06-24 Andrew Perrault , Bryan Wilder , Eric Ewing , Aditya Mate , Bistra Dilkina , Milind Tambe

Distributed descent-based methods are an essential toolset to solving optimization problems in multi-agent system scenarios. Here the agents seek to optimize a global objective function through mutual cooperation. Oftentimes, cooperation is…

Optimization and Control · Mathematics 2019-08-28 Arunselvan Ramaswamy

The Stackelberg equilibrium solution concept describes optimal strategies to commit to: Player 1 (termed the leader) publicly commits to a strategy and Player 2 (termed the follower) plays a best response to this strategy (ties are broken…

Computer Science and Game Theory · Computer Science 2016-08-24 Branislav Bosansky , Simina Branzei , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

We study a two-player discounted zero-sum stochastic game model for dynamic operational planning in military campaigns. At each stage, the players manage multiple commanders who order military actions on objectives that have an open line of…

Computer Science and Game Theory · Computer Science 2024-03-04 Joseph E. McCarthy , Mathieu Dahan , Chelsea C. White

In various online/offline multi-agent networked environments, it is very popular that the system can benefit from coordinating actions of two interacting agents at some cost of coordination. In this paper, we first formulate an optimization…

Systems and Control · Computer Science 2018-09-14 Hyeryung Jang , Jinwoo Shin , Yung Yi

In this paper, we study the transmission strategy adaptation problem in an RF-powered cognitive radio network, in which hybrid secondary users are able to switch between the harvest-then-transmit mode and the ambient backscatter mode for…

Networking and Internet Architecture · Computer Science 2018-04-10 Wenbo Wang , Dinh Thai Hoang , Dusit Niyato , Ping Wang , Dong In Kim

This contribution deals with a two-level discrete decision problem, a so-called Stackelberg strategic game: A Subset Sum setting is addressed with a set $N$ of items with given integer weights. One distinguished player, the leader, may…

Discrete Mathematics · Computer Science 2018-01-12 Ulrich Pferschy , Gaia Nicosia , Andrea Pacifici

Macroeconomic outcomes emerge from individuals' decisions, making it essential to model how agents interact with macro policy via consumption, investment, and labor choices. We formulate this as a dynamic Stackelberg game: the government…

Theoretical Economics · Economics 2025-06-03 Qirui Mi , Zhiyu Zhao , Chengdong Ma , Siyu Xia , Yan Song , Mengyue Yang , Jun Wang , Haifeng Zhang

This paper formulates a Stackelberg game between a coordination agent and participating homes to control the overall load consumption of a residential neighborhood. Each home optimizes a comfort-cost trade off to determine a load schedule…

Optimization and Control · Mathematics 2024-01-30 Erhan Can Ozcan , Ioannis Ch. Paschalidis

Information asymmetry between the Distribution System Operator (DSO) and Distributed Energy Resource Aggregators (DERAs) obstructs designing effective incentives for voltage regulation. To capture this effect, we employ a Stackelberg…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Zhirui Liang , Qi Li , Joshua Comden , Andrey Bernstein , Yury Dvorkin

Caching in wireless device-to-device (D2D) networks can be utilized to offload data traffic during peak times. However, the design of incentive mechanisms is challenging due to the heterogeneous preference and selfish nature of user…

Information Theory · Computer Science 2016-11-18 Zhuoqun Chen , Yangyang Liu , Bo Zhou , Meixia Tao

We study Stackelberg games where a principal repeatedly interacts with a non-myopic long-lived agent, without knowing the agent's payoff function. Although learning in Stackelberg games is well-understood when the agent is myopic, dealing…

Computer Science and Game Theory · Computer Science 2025-05-29 Nika Haghtalab , Thodoris Lykouris , Sloan Nietert , Alexander Wei

This paper is concerned with a three-level multi-leader-follower incentive Stackelberg game with $H_\infty$ constraint. Based on $H_2/H_\infty$ control theory, we firstly obtain the worst-case disturbance and the team-optimal strategy by…

Optimization and Control · Mathematics 2024-12-13 Na Xiang , Jingtao Shi

This paper seeks to establish a framework for directing a society of simple, specialized, self-interested agents to solve what traditionally are posed as monolithic single-agent sequential decision problems. What makes it challenging to use…

Machine Learning · Computer Science 2020-08-17 Michael Chang , Sidhant Kaushik , S. Matthew Weinberg , Thomas L. Griffiths , Sergey Levine

We present a resource-planning game for cyber-security of networked control systems (NCS). The NCS is assumed to be operating in closed-loop using a linear state-feedback $\mathcal{H}_2$ controller. A zero-sum, two-player Stackelberg game…

Optimization and Control · Mathematics 2022-08-26 Pratishtha Shukla , Lu An , Aranya Chakrabortty , Alexandra Duel-Hallen

Large scale systems are forecasted to greatly impact our future lives thanks to their wide ranging applications including cooperative robotics, mobility on demand, resource allocation, supply chain management. While technological…

Optimization and Control · Mathematics 2024-12-20 Dario Paccagnan

Model-based reinforcement learning (MBRL) has recently gained immense interest due to its potential for sample efficiency and ability to incorporate off-policy data. However, designing stable and efficient MBRL algorithms using rich…

Machine Learning · Computer Science 2021-03-12 Aravind Rajeswaran , Igor Mordatch , Vikash Kumar

We study a continuous-time stochastic Stackelberg game in which a leader seeks to accomplish a primary objective while inferring a hidden parameter of a rational follower. The follower solves an entropy-regularized tracking problem and…

Optimization and Control · Mathematics 2025-10-08 Ruimeng Hu , Daniel Ralston , Xu Yang , Haosheng Zhou

There are only a few learning algorithms applicable to stochastic dynamic teams and games which generalize Markov decision processes to decentralized stochastic control problems involving possibly self-interested decision makers. Learning…

Optimization and Control · Mathematics 2016-05-03 Gürdal Arslan , Serdar Yüksel
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