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We first study an optimal stopping problem in which a player (an agent) uses a discrete stopping time in order to stop optimally a payoff process whose risk is evaluated by a (non-linear) $g$-expectation. We then consider a non-zero-sum…

概率论 · 数学 2017-05-11 Miryana Grigorova , Marie-Claire Quenez

We introduce a zero-sum game problem of mean-field type as an extension of the classical zero-sum Dynkin game problem to the case where the payoff processes might depend on the value of the game and its probability law. We establish…

最优化与控制 · 数学 2022-05-06 Boualem Djehiche , Roxana Dumitrescu

Acquiring driving policies that can transfer to unseen environments is challenging when driving in dense traffic flows. The design of traffic flow is essential and previous studies are unable to balance interaction and safety-criticism. To…

机器人学 · 计算机科学 2023-04-26 Dongkun Zhang , Jintao Xue , Yuxiang Cui , Yunkai Wang , Eryun Liu , Wei Jing , Junbo Chen , Rong Xiong , Yue Wang

A defender-attacker-target problem with non-moving target is considered. This problem is modeled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional. In this game the pursuer is the defender,…

最优化与控制 · 数学 2018-03-06 Vladimir Turetsky , Valery Y. Glizer

In a zero-sum stochastic game with signals, at each stage, two adversary players take decisions and receive a stage payoff determined by these decisions and a variable called state. The state follows a Markov chain, that is controlled by…

最优化与控制 · 数学 2021-12-02 Bruno Ziliotto

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…

系统与控制 · 电气工程与系统科学 2023-11-13 Mushuang Liu , Ilya Kolmanovsky , H. Eric Tseng , Suzhou Huang , Dimitar Filev , Anouck Girard

In this paper, we investigate the fixed-time behavioral control problem for a team of second-order nonlinear agents, aiming to achieve a desired formation with collision/obstacle~avoidance. In the proposed approach, the two behaviors(tasks)…

最优化与控制 · 数学 2021-03-12 Ning Zhou , Xiaodong Cheng , Zhongqi Sun , Yuanqing Xia

This paper studies a two-player game with a quantitative surveillance requirement on an adversarial target moving in a discrete state space and a secondary objective to maximize short-term visibility of the environment. We impose the…

机器人学 · 计算机科学 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

In this paper we consider two-person zero-sum risk-sensitive stochastic dynamic games with Borel state and action spaces and bounded reward. The term risk-sensitive refers to the fact that instead of the usual risk neutral optimization…

最优化与控制 · 数学 2021-07-21 Nicole Bäuerle , Ulrich Rieder

This paper investigates a pursuit-evasion problem involving three agents: a pursuer, an evader, and a defender. Cooperative guidance laws are developed for the evader-defender team that guarantee interception of the pursuer by the defender…

系统与控制 · 电气工程与系统科学 2025-09-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

This paper studies a stochastic dynamic game between two competing teams, each consisting of a network of collaborating agents. Unlike fully cooperative settings, where all agents share a common objective, each team in this game aims to…

多智能体系统 · 计算机科学 2025-04-29 Yike Zhao , Haoyuan Cai , Ali H. Sayed

We consider a game-theoretic setting to model the interplay between attacker and defender in the context of information flow, and to reason about their optimal strategies. In contrast with standard game theory, in our games the utility of a…

密码学与安全 · 计算机科学 2022-05-03 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

In an adversarial environment, a hostile player performing a task may behave like a non-hostile one in order not to reveal its identity to an opponent. To model such a scenario, we define identity concealment games: zero-sum stochastic…

计算机科学与博弈论 · 计算机科学 2024-03-05 Mustafa O. Karabag , Melkior Ornik , Ufuk Topcu

We study a class of two-player zero-sum stochastic games known as \textit{blind stochastic games}, where players neither observe the state nor receive any information about it during the game. A central concept for analyzing long-duration…

最优化与控制 · 数学 2025-11-24 Krishnendu Chatterjee , David Lurie , Raimundo Saona , Bruno Ziliotto

We study the value and the optimal strategies for a two-player zero-sum optimal stopping game with incomplete and asymmetric information. In our Bayesian set-up, the drift of the underlying diffusion process is unknown to one player…

概率论 · 数学 2020-07-15 Tiziano De Angelis , Erik Ekström , Kristoffer Glover

This paper studies an instance of zero-sum games in which one player (the leader) commits to its opponent (the follower) to choose its actions by sampling a given probability measure (strategy). The actions of the leader are observed by the…

计算机科学与博弈论 · 计算机科学 2024-02-06 Emmanouil M Athanasakos , Samir M Perlaza

In this paper, we establish a zero-sum, hybrid state stochastic game model for designing defense policies for cyber-physical systems against different types of attacks. With the increasingly integrated properties of cyber-physical systems…

计算机科学与博弈论 · 计算机科学 2017-10-03 Fei Miao , Quanyan Zhu , Miroslav Pajic , George J. Pappas

We prove that in a general zero-sum repeated game where the first player is more informed than the second player and controls the evolution of information on the state, the uniform value exists. This result extends previous results on…

最优化与控制 · 数学 2013-01-10 Fabien Gensbittel , Miquel Oliu-Barton , Xavier Venel

In this paper, we investigate a pursuit-evasion game in which a mobile observer tries to track a target in an environment containing obstacles. We formulate the game as an optimal control problem with state inequality constraint in a simple…

最优化与控制 · 数学 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

Robots deployed in real-world environments should operate safely in a robust manner. In scenarios where an "ego" agent navigates in an environment with multiple other "non-ego" agents, two modes of safety are commonly proposed --…

机器人学 · 计算机科学 2021-04-01 Chih-Yuan Chiu , David Fridovich-Keil , Claire J. Tomlin