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This paper introduces semi-competitive differential game logic dGLsc, which enables verification of safety-critical applications that involve interactions between two agents. In dGLsc, these interactions are specified as games on hybrid…

Logic in Computer Science · Computer Science 2026-01-30 Julia Butte , André Platzer

The use of unmanned aerial vehicles (UAVs) as delivery systems of online goods is rapidly becoming a global norm, as corroborated by Amazon's "Prime Air" and Google's "Project Wing" projects. However, the real-world deployment of such drone…

Computer Science and Game Theory · Computer Science 2017-02-15 Anibal Sanjab , Walid Saad , Tamer Başar

In the prior literature on multi-agent area defense games, the assignments of the defenders to the attackers are done based on a cost metric associated only with the interception of the attackers. In contrast to that, this paper presents an…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Vishnu S. Chipade , Xinyi Wang , Dimitra Panagou

Considering uncertainties and disturbances is an important, yet challenging, step in successful decision making. The problem becomes more challenging in safety-constrained environments. In this paper, we propose a robust and safe trajectory…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Hassan Almubarak , Evangelos A. Theodorou , Nader Sadegh

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 study a wireless jamming problem consisting of the competition between a legitimate receiver and a jammer, as a zero-sum game where the value to maximize/minimize is the channel capacity at the receiver's side. Most of the approaches…

Computer Science and Game Theory · Computer Science 2026-05-19 Giovanni Perin , Leonardo Badia

We consider a fully decentralized multi-player stochastic multi-armed bandit setting where the players cannot communicate with each other and can observe only their own actions and rewards. The environment may appear differently to…

Machine Learning · Computer Science 2021-12-30 Akshayaa Magesh , Venugopal V. Veeravalli

We study the optimal stopping problem of maximizing the variance of an unkilled linear diffusion. Especially, we demonstrate how the problem can be solved as a convex two-player zero-sum game, and reveal quite surprising application of game…

Probability · Mathematics 2020-03-25 Kamille Sofie Tågholt Gad , Pekka Matomäki

This paper studies a planar multiplayer Homicidal Chauffeur reach-avoid differential game, where each pursuer is a Dubins car and each evader has simple motion. The pursuers aim to protect a goal region cooperatively from the evaders. Due…

Computer Science and Game Theory · Computer Science 2021-07-13 Rui Yan , Ruiliang Deng , Haowen Lai , Weixian Zhang , Zongying Shi , Yisheng Zhong

We revisit the two-player planar target-defense game initially posed by Isaacs where a pursuer (or defender) attempts to guard a target set from an attack by an evader (or attacker). This paper builds on existing analytical solutions to…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Yoonjae Lee , Efstathios Bakolas

Generating competitive strategies and performing continuous motion planning simultaneously in an adversarial setting is a challenging problem. In addition, understanding the intent of other agents is crucial to deploying autonomous systems…

Robotics · Computer Science 2023-10-12 Hongrui Zheng , Zhijun Zhuang , Johannes Betz , Rahul Mangharam

In this paper we consider an infinite horizon zero-sum differential game where the dynamics of each player and the running cost are also depending on the evolution of some discrete (switching) variables. In particular, such switching…

Optimization and Control · Mathematics 2020-03-05 Fabio Bagagiolo , Rosario Maggistro , Marta Zoppello

In this work, we extend the convex bodies chasing problem (CBC) to an adversarial setting, where an agent (the Player) is tasked with chasing a sequence of convex bodies generated adversarially by another agent (the Opponent). The Player…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Yue Guan , Longxu Pan , Daigo Shishika , Panagiotis Tsiotras

We model a radar network as an adversarial bandit problem, where the environment pre-selects reward sequences for each of several actions available to the network. This excludes environments which vary rewards in response to the learner's…

Signal Processing · Electrical Eng. & Systems 2021-10-26 William W. Howard , R. M. Buehrer , Anthony Martone

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…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Mushuang Liu , Ilya Kolmanovsky , H. Eric Tseng , Suzhou Huang , Dimitar Filev , Anouck Girard

We present a numerical approach to finding optimal trajectories for players in a multi-body, asset-guarding game with nonlinear dynamics and non-convex constraints. Using the Iterative Best Response (IBR) scheme, we solve for each player's…

Systems and Control · Electrical Eng. & Systems 2020-11-04 Emmanuel Sin , Murat Arcak , Douglas Philbrick , Peter Seiler

This paper considers the problem of inverse reinforcement learning in zero-sum stochastic games when expert demonstrations are known to be not optimal. Compared to previous works that decouple agents in the game by assuming optimality in…

Machine Learning · Statistics 2018-06-07 Xingyu Wang , Diego Klabjan

We consider a reach-avoid differential game, in which one of the players aims to steer the system into a target set without violating a set of state constraints, while the other player tries to prevent the first from succeeding; the system…

Optimization and Control · Mathematics 2014-10-30 Jaime F. Fisac , Mo Chen , Claire J. Tomlin , S. Shankar Sastry

In this paper, we revisit the two-player continuous-time infinite-horizon linear quadratic differential game problem, where one of the players can sample the state of the system only intermittently due to a sensing constraint while the…

Optimization and Control · Mathematics 2024-06-11 Shubham Aggarwal , Tamer Başar , Dipankar Maity

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
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