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This article considers a problem arising from a two-player game based on the classical secretary problem. First, Player 1 selects one object from a sequence as in the secretary problem. All of the other objects are then presented to Player…

计算机科学与博弈论 · 计算机科学 2024-09-09 David Ramsey

This paper studies a two-person linear-quadratic-Gaussian pursuit-evasion differential game with costly but controlled information. One player can decide when to observe the other player's state. However, one observation of another player's…

系统与控制 · 电气工程与系统科学 2022-04-26 Yunhan Huang , Quanyan Zhu

Stochastic games combine controllable and adversarial non-determinism with stochastic behavior and are a common tool in control, verification and synthesis of reactive systems facing uncertainty. Multi-objective stochastic games are natural…

计算机科学与博弈论 · 计算机科学 2021-09-20 Tobias Winkler , Maximilian Weininger

This paper investigates a linear quadratic mean field leader-follower team problem, where the model involves one leader and a large number of weakly-coupled interactive followers. The leader and the followers cooperate to optimize the…

最优化与控制 · 数学 2020-08-13 Jianhui Huang , Bing-Chang Wang , Tinghan Xie

In this paper, we consider a linear quadratic stochastic two-person zero-sum differential game. The controls for both players are allowed to appear in both drift and diffusion of the state equation. The weighting matrices in the performance…

最优化与控制 · 数学 2014-01-21 Jingrui Sun , Jiongmin Yong

We propose a two-layer, semi-decentralized algorithm to compute a local solution to the Stackelberg equilibrium problem in aggregative games with coupling constraints. Specifically, we focus on a single-leader, multiple-follower problem,…

最优化与控制 · 数学 2022-02-17 Filippo Fabiani , Mohammad Amin Tajeddini , Hamed Kebriaei , Sergio Grammatico

This paper analyzes the fundamental limits of strate- gic communication in network settings. Strategic communication differs from the conventional communication paradigms in in- formation theory since it involves different objectives for…

信息论 · 计算机科学 2016-02-24 Emrah Akyol , Cedric Langbort , Tamer Basar

Effectively predicting intent and behavior requires inferring leadership in multi-agent interactions. Dynamic games provide an expressive theoretical framework for modeling these interactions. Employing this framework, we propose a novel…

多智能体系统 · 计算机科学 2024-04-10 Hamzah Khan , David Fridovich-Keil

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

机器学习 · 计算机科学 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

We consider linear-quadratic Gaussian (LQG) games in which players have quadratic payoffs that depend on the players' actions and an unknown payoff-relevant state, and signals on the state that follow a Gaussian distribution conditional on…

最优化与控制 · 数学 2023-05-01 Furkan Sezer , Hossein Khazaei , Ceyhun Eksin

Information gathering while interacting with other agents under sensing and motion uncertainty is critical in domains such as driving, service robots, racing, or surveillance. The interests of agents may be at odds with others, resulting in…

机器人学 · 计算机科学 2021-05-14 Wilko Schwarting , Alyssa Pierson , Sertac Karaman , Daniela Rus

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…

系统与控制 · 电气工程与系统科学 2025-04-10 Yohan John , Gilberto Diaz-Garcia , Xiaoming Duan , Jason R. Marden , Francesco Bullo

Game theory is playing more and more important roles in understanding complex systems and in investigating intelligent machines with various uncertainties. As a starting point, we consider the classical two-player zero-sum linear-quadratic…

最优化与控制 · 数学 2022-04-20 Nian Liu , Lei Guo

Despite the advantage of preserving data privacy, federated learning (FL) still suffers from the straggler issue due to the limited computing resources of distributed clients and the unreliable wireless communication environment. By…

机器学习 · 计算机科学 2025-01-06 Bibo Wu , Fang Fang , Xianbin Wang

This paper addresses a linear-quadratic Stackelberg mean field (MF) games and teams problem with arbitrary population sizes, where the game among the followers is further categorized into two types: non-cooperative and cooperative, and the…

最优化与控制 · 数学 2024-12-24 Wenyu Cong , Jingtao Shi , Bingchang Wang

Interactions among selfish users sharing a common transmission channel can be modeled as a non-cooperative game using the game theory framework. When selfish users choose their transmission probabilities independently without any…

计算机科学与博弈论 · 计算机科学 2009-05-31 Jaeok Park , Mihaela van der Schaar

The concept of leader--follower (or Stackelberg) equilibrium plays a central role in a number of real--world applications of game theory. While the case with a single follower has been thoroughly investigated, results with multiple…

计算机科学与博弈论 · 计算机科学 2017-07-10 Nicola Basilico , Stefano Coniglio , Nicola Gatti

We develop an analytical Stackelberg game framework for optimal resource allocation in a sequential attacker--defender setting with a finite set of assets and probabilistic attacks. The defender commits to a mixed protection strategy, after…

计算机科学与博弈论 · 计算机科学 2025-12-22 Azhar Iqbal , James M. Chappell , Derek Abbott

We initiate the study of structured Stackelberg games, a novel form of strategic interaction between a leader and a follower where contextual information can be predictive of the follower's (unknown) type. Motivated by applications such as…

计算机科学与博弈论 · 计算机科学 2026-05-18 Maria-Florina Balcan , Kiriaki Fragkia , Keegan Harris

This paper is concerned with a linear-quadratic non-zero sum differential game with asymmetric delayed information. To be specific, two players exist time delays simultaneously which are different, leading the dynamical system being an…

最优化与控制 · 数学 2025-10-27 Yuxin Ye , Jingtao Shi