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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…

Robotics · Computer Science 2023-08-31 Andrea Bajcsy , Antonio Loquercio , Ashish Kumar , Jitendra Malik

Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

Computer Science and Game Theory · Computer Science 2016-08-05 Karel Horák , Branislav Bošanský

We consider a scenario where a team of two unmanned aerial vehicles (UAVs) pursue an evader UAV within an urban environment. Each agent has a limited view of their environment where buildings can occlude their field-of-view. Additionally,…

Multiagent Systems · Computer Science 2025-11-13 Addison Kalanther , Daniel Bostwick , Chinmay Maheshwari , Shankar Sastry

We consider a class of pursuit-evasion differential games in which the evader has continuous access to the pursuer's location, but not vice-versa. There is a remote sensor (e.g., a radar station) that can sense the evader's location upon a…

Systems and Control · Electrical Eng. & Systems 2023-07-04 Dipankar Maity

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…

Optimization and Control · Mathematics 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

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…

Robotics · Computer Science 2021-05-14 Wilko Schwarting , Alyssa Pierson , Sertac Karaman , Daniela Rus

Robots deployed to the real world must be able to interact with other agents in their environment. Dynamic game theory provides a powerful mathematical framework for modeling scenarios in which agents have individual objectives and…

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…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Hao Xiong , Huanhui Cao , Lin Zhang , Wenjie Lu

This paper investigates a partial-information pursuit evasion game in which the Pursuer has a limited-range sensor to detect the Evader. Given a fixed final time, we derive the optimal evasion strategy for the Evader to maximize its…

Computer Science and Game Theory · Computer Science 2024-01-24 Dipankar Maity , Alexander Von Moll , Daigo Shishika , Michael Dorothy

We consider a model of two competing microswimming agents engaged in a pursue-evasion task within a low-Reynolds-number environment. Agents can only perform simple maneuvers and sense hydrodynamic disturbances, which provide ambiguous…

Fluid Dynamics · Physics 2022-03-04 Francesco Borra , Luca Biferale , Massimo Cencini , Antonio Celani

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…

Robotics · Computer Science 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

Given a two-dimensional polygonal space, the multi-robot visibility-based pursuit-evasion problem tasks several pursuer robots with the goal of establishing visibility with an arbitrarily fast evader. The best known complete algorithm for…

Robotics · Computer Science 2021-04-12 Trevor Olsen , Anne M. Tumlin , Nicholas M. Stiffler , Jason M. O'Kane

Autonomous vehicles interacting with other traffic participants heavily rely on the perception and prediction of other agents' behaviors to plan safe trajectories. However, as occlusions limit the vehicle's perception ability, reasoning…

Robotics · Computer Science 2021-08-04 Zixu Zhang , Jaime F. Fisac

In this paper, we consider the problem of controlling an underactuated system in unknown, and potentially adversarial environments. The emphasis will be on autonomous aerial vehicles, modelled by Dubins dynamics. The proposed control law is…

Multiagent Systems · Computer Science 2019-09-04 Shashwat Shivam , Aris Kanellopoulos , Kyriakos G. Vamvoudakis , Yorai Wardi

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

We present a novel algorithm for game-theoretic trajectory planning, tailored for settings in which agents can only observe one another in specific regions of the state space. Such problems arise naturally in the context of multi-robot…

Multiagent Systems · Computer Science 2024-06-18 Kushagra Gupta , David Fridovich-Keil

Partially observable stochastic games provide a rich mathematical paradigm for modeling multi-agent dynamic decision making under uncertainty and partial information. However, they generally do not admit closed-form solutions and are…

Optimization and Control · Mathematics 2020-04-15 Yanling Chang , Chelsea C. White

In two-player finite-state stochastic games of partial observation on graphs, in every state of the graph, the players simultaneously choose an action, and their joint actions determine a probability distribution over the successor states.…

Computer Science and Game Theory · Computer Science 2011-07-13 Krishnendu Chatterjee , Laurent Doyen

Given a mapped environment, we formulate the problem of visually tracking and following an evader using a probabilistic framework. In this work, we consider a non-holonomic robot with a limited visibility depth sensor in an indoor…

Robotics · Computer Science 2019-04-23 Varun Chandra Jammula , Anshul Rai , Yezhou Yang
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