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An important feature of a dynamic game is its monitoring structure namely, what the players effectively see from the played actions. We consider games with arbitrary monitoring structures. One of the purposes of this paper is to know to…

信息论 · 计算机科学 2012-10-24 Maël Le Treust , Samson Lasaulce

In the cybersecurity setting, defenders are often at the mercy of their detection technologies and subject to the information and experiences that individual analysts have. In order to give defenders an advantage, it is important to…

密码学与安全 · 计算机科学 2022-12-09 Erick Galinkin , Emmanouil Pountourakis , John Carter , Spiros Mancoridis

This paper introduces a novel reachability problem for the scenario involving two agents, where one agent follows another agent using a feedback strategy. The geometry of the reachable set for an agent, termed \emph{dependent reachable…

系统与控制 · 电气工程与系统科学 2026-03-09 Venkata Ramana Makkapati , Tulasi Ram Vechalapu , Vinodhini Comandur , Seth Hutchinson

We study the zero-visibility cops and robbers game, where the robber is invisible to the cops until they are caught. This differs from the classic game where full information about the robber's location is known at any time. A previously…

离散数学 · 计算机科学 2025-09-08 Igor Potapov , Tymofii Prokopenko , John Sylvester

Stochastic two-player games model systems with an environment that is both adversarial and stochastic. The adversarial part of the environment is modeled by a player (Player 2) who tries to prevent the system (Player 1) from achieving its…

计算机科学与博弈论 · 计算机科学 2025-06-11 Laurent Doyen , Pranshu Gaba , Shibashis Guha

This paper aims to put forward the concept that learning to take safe actions in unknown environments, even with probability one guarantees, can be achieved without the need for an unbounded number of exploratory trials, provided that one…

机器学习 · 计算机科学 2021-04-01 Agustin Castellano , Juan Bazerque , Enrique Mallada

Addressing the question of how to achieve optimal decision-making under risk and uncertainty is crucial for enhancing the capabilities of artificial agents that collaborate with or support humans. In this work, we address this question in…

多智能体系统 · 计算机科学 2024-08-02 Nicole Orzan , Erman Acar , Davide Grossi , Patrick Mannion , Roxana Rădulescu

A framework is presented for handling a potential loss of observability of a dynamical system in a provably-safe way. Inspired by the fragility of data-driven perception systems used by autonomous vehicles, we formulate the problem that…

系统与控制 · 电气工程与系统科学 2020-05-19 Forrest Laine , Chiu-Yuan Chiu , Claire Tomlin

We study strategic interaction in data-driven games where players face uncertainty about payoff distributions inferred from finite samples. To model calibrated attitudes toward such uncertainty, we formulate distributionally robust games…

计算机科学与博弈论 · 计算机科学 2026-05-28 Bharat Gangwani , Arunesh Sinha

While offline reinforcement learning provides reliable policies for real-world deployment, its inherent pessimism severely restricts an agent's ability to explore and collect novel data online. Drawing inspiration from safe reinforcement…

机器学习 · 计算机科学 2026-03-20 Amirhossein Roknilamouki , Arnob Ghosh , Eylem Ekici , Ness B. Shroff

A two-player finite horizon linear-quadratic Stackelberg differential game is considered. The feature of this game is that the control cost of a follower in the cost functionals of both players is small, which means that the game under…

最优化与控制 · 数学 2025-12-11 Valery Y. Glizer , Vladimir Turetsky

Learning strategic robot behavior -- like that required in pursuit-evasion interactions -- under real-world constraints is extremely challenging. It requires exploiting the dynamics of the interaction, and planning through both physical…

机器人学 · 计算机科学 2023-08-31 Andrea Bajcsy , Antonio Loquercio , Ashish Kumar , Jitendra Malik

Traditional game-theoretic research for security applications primarily focuses on the allocation of external protection resources to defend targets. This work puts forward the study of a new class of games centered around strategically…

计算机科学与博弈论 · 计算机科学 2024-10-29 Niclas Boehmer , Minbiao Han , Haifeng Xu , Milind Tambe

Ensuring the safety of environmental exploration is a critical problem in reinforcement learning (RL). While limiting exploration to a feasible zone has become widely accepted as a way to ensure safety, key questions remain unresolved: what…

机器学习 · 计算机科学 2026-02-05 Yujie Yang , Zhilong Zheng , Shengbo Eben Li

We consider average-energy games, where the goal is to minimize the long-run average of the accumulated energy. While several results have been obtained on these games recently, decidability of average-energy games with a lower-bound…

计算机科学中的逻辑 · 计算机科学 2017-01-16 Patricia Bouyer , Piotr Hofman , Nicolas Markey , Mickael Randour , Martin Zimmermann

Pursuit-evasion games are ubiquitous in nature and in an artificial world. In nature, pursuer(s) and evader(s) are intelligent agents that can learn from experience, and dynamics (i.e., Newtonian or Lagrangian) is vital for the pursuer and…

系统与控制 · 电气工程与系统科学 2021-04-06 Hao Xiong , Huanhui Cao , Lin Zhang , Wenjie Lu

When players make sequential decisions that are unobservable to one another, their behavior can nonetheless be influenced by knowing who moves first. This sequential structure, often referred to as "virtual observability," suggests that…

综合经济学 · 经济学 2025-12-02 C. Monica Capra , Charles A. Holt , Po-Hsuan Lin

We study a hybrid control system in which both discrete and continuous controls are involved. The discrete controls act on the system at a given set interface. The state of the system is changed discontinuously when the trajectory hits…

偏微分方程分析 · 数学 2008-02-15 Guy Barles , Sheetal Dharmatti , Mythily Ramaswamy

Many security and other real-world situations are dynamic in nature and can be modelled as strictly competitive (or zero-sum) dynamic games. In these domains, agents perform actions to affect the environment and receive observations --…

计算机科学与博弈论 · 计算机科学 2020-10-23 Karel Horák , Branislav Bošanský , Vojtěch Kovařík , Christopher Kiekintveld

There are many physical processes that have inherent discontinuities in their mathematical formulations. This paper is motivated by the specific case of collisions between two rigid or deformable bodies and the intrinsic nature of that…

机器学习 · 计算机科学 2023-06-22 Daniel Johnson , Ronald Fedkiw