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Computing worst-case robust strategies in pursuit-evasion games (PEGs) is time-consuming, especially when real-world factors like partial observability are considered. While important for general security purposes, real-time applicable…

Machine Learning · Computer Science 2026-05-15 Runyu Lu , Ruochuan Shi , Yuanheng Zhu , Dongbin Zhao

Pursuit-evasion games (PEGs) model interactions between a team of pursuers and an evader in graph-based environments such as urban street networks. Recent advancements have demonstrated the effectiveness of the pre-training and fine-tuning…

Artificial Intelligence · Computer Science 2024-04-22 Pengdeng Li , Shuxin Li , Xinrun Wang , Jakub Cerny , Youzhi Zhang , Stephen McAleer , Hau Chan , Bo An

Reinforcement Learning (RL)-based motion planning has recently shown the potential to outperform traditional approaches from autonomous navigation to robot manipulation. In this work, we focus on a motion planning task for an evasive target…

Robotics · Computer Science 2025-05-12 Zixuan Wu , Sean Ye , Manisha Natarajan , Matthew C. Gombolay

Using mobile robots for autonomous patrolling of environments to prevent intrusions is a topic of increasing practical relevance. One of the most challenging scientific issues is the problem of finding effective patrolling strategies that,…

Computer Science and Game Theory · Computer Science 2009-12-18 Nicola Basilico , Nicola Gatti , Francesco Amigoni

We propose expected policy gradients (EPG), which unify stochastic policy gradients (SPG) and deterministic policy gradients (DPG) for reinforcement learning. Inspired by expected sarsa, EPG integrates (or sums) across actions when…

Machine Learning · Statistics 2020-05-05 Kamil Ciosek , Shimon Whiteson

This paper investigates posterior sampling algorithms for competitive reinforcement learning (RL) in the context of general function approximations. Focusing on zero-sum Markov games (MGs) under two critical settings, namely self-play and…

Machine Learning · Computer Science 2023-11-01 Shuang Qiu , Ziyu Dai , Han Zhong , Zhaoran Wang , Zhuoran Yang , Tong Zhang

In practical application, the pursuit-evasion game (PEG) often involves multiple complex and conflicting objectives. The single-objective reinforcement learning (RL) usually focuses on a single optimization objective, and it is difficult to…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Penglin Hu , Chunhui Zhao , Quan Pan

Correlated equilibria -- and their generalization $\Phi$-equilibria -- are a fundamental object of study in game theory, offering a more tractable alternative to Nash equilibria in multi-player settings. While computational aspects of…

Computer Science and Game Theory · Computer Science 2025-10-23 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Gabriele Farina

In this work we present a hierarchical framework for solving discrete stochastic pursuit-evasion games (PEGs) in large grid worlds. With a partition of the grid world into superstates (e.g., "rooms"), the proposed approach creates a…

Multiagent Systems · Computer Science 2023-03-20 Yue Guan , Mohammad Afshari , Qifan Zhang , Panagiotis Tsiotras

This paper presents an exact penalization theory of the generalized Nash equilibrium problem (GNEP) that has its origin from the renowned Arrow-Debreu general economic equilibrium model. While the latter model is the foundation of much of…

Computer Science and Game Theory · Computer Science 2018-12-04 Qin Ba , Jong-Shi Pang

We study zero-shot generalization in reinforcement learning-optimizing a policy on a set of training tasks to perform well on a similar but unseen test task. To mitigate overfitting, previous work explored different notions of invariance to…

Machine Learning · Computer Science 2024-01-17 Ev Zisselman , Itai Lavie , Daniel Soudry , Aviv Tamar

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

Computer Science and Game Theory · Computer Science 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

In this paper, a novel racing environment for OpenAI Gym is introduced. This environment operates with continuous action- and state-spaces and requires agents to learn to control the acceleration and steering of a car while navigating a…

Machine Learning · Computer Science 2020-01-16 Mario S. Holubar , Marco A. Wiering

This paper presents a general mean-field game (GMFG) framework for simultaneous learning and decision-making in stochastic games with a large population. It first establishes the existence of a unique Nash Equilibrium to this GMFG, and…

Machine Learning · Computer Science 2023-01-05 Xin Guo , Anran Hu , Renyuan Xu , Junzi Zhang

Prediction is a well-studied machine learning task, and prediction algorithms are core ingredients in online products and services. Despite their centrality in the competition between online companies who offer prediction-based products,…

Computer Science and Game Theory · Computer Science 2019-05-08 Omer Ben-Porat , Moshe Tennenholtz

This paper considers for the first time pursuit-evasion (PE) differential games with irrational perceptions of both pursuer and evader on probabilistic characteristics of environmental uncertainty. Firstly, the irrational perceptions of…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Zili Wang , Hao Yang , Xiangxiang Wang , Bin Jiang , Long Wang , Marios M. Polycarpou

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…

Computer Science and Game Theory · Computer Science 2024-10-29 Niclas Boehmer , Minbiao Han , Haifeng Xu , Milind Tambe

We propose efficient no-regret learning dynamics and ellipsoid-based methods for computing linear correlated equilibria$\unicode{x2014}$a relaxation of correlated equilibria and a strengthening of coarse correlated…

Computer Science and Game Theory · Computer Science 2024-12-31 Constantinos Daskalakis , Gabriele Farina , Maxwell Fishelson , Charilaos Pipis , Jon Schneider

Surveillance-Evasion (SE) games form an important class of adversarial trajectory-planning problems. We consider time-dependent SE games, in which an Evader is trying to reach its target while minimizing the cumulative exposure to a moving…

Optimization and Control · Mathematics 2019-09-09 Elliot Cartee , Lexiao Lai , Qianli Song , Alexander Vladimirsky

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

Computer Science and Game Theory · Computer Science 2026-05-20 Léonard Brice
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