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Multi-vehicle autonomous driving couples strategic interaction with hybrid (discrete-continuous) maneuver planning under shared safety constraints. We introduce IBR-GCS, an Iterative Best Response (IBR) planning approach based on the Graphs…

Multiagent Systems · Computer Science 2026-01-29 Nikolaj Käfer , Ahmed Khalil , Edward Huynh , Efstathios Bakolas , David Fridovich-Keil

We study a multi-body asset-guarding game in missile defense where teams of interceptor missiles collaborate to defend a non-manuevering asset against a group of threat missiles. We approach the problem in two steps. We first formulate an…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Emmanuel Sin , Murat Arcak , Andrew Packard , Douglas Philbrick , Peter Seiler

Autonomous vehicles must balance ranked objectives, such as minimizing travel time, ensuring safety, and coordinating with traffic. Games of ordered preference effectively model these interactions but become computationally intractable as…

Systems and Control · Electrical Eng. & Systems 2025-07-16 Pau de las Heras Molins , Eric Roy-Almonacid , Dong Ho Lee , Lasse Peters , David Fridovich-Keil , Georgios Bakirtzis

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

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

We propose a decentralized solution for a pursuit-evasion game involving a heterogeneous group of rational (selfish) pursuers and a single evader based on the framework of potential games. In the proposed game, the evader aims to delay (or,…

Systems and Control · Electrical Eng. & Systems 2021-08-19 Yoonjae Lee , Efstathios Bakolas

We consider surveillance-evasion differential games, where a pursuer must try to constantly maintain visibility of a moving evader. The pursuer loses as soon as the evader becomes occluded. Optimal controls for game can be formulated as a…

Artificial Intelligence · Computer Science 2022-03-29 Louis Ly , Yen-Hsi Richard Tsai

We introduce a game of trusted computation in which a sensor equipped with limited computing power leverages a central node to evaluate a specified function over a large dataset, collected over time. We assume that the central computer can…

Computer Science and Game Theory · Computer Science 2016-11-09 Shaunak D. Bopardikar , Alberto Speranzon , Cedric Langbort

This paper studies a multiplayer reach-avoid differential game in the presence of general polygonal obstacles that block the players' motions. The pursuers cooperate to protect a convex region from the evaders who try to reach the region.…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Rui Yan , Shuai Mi , Xiaoming Duan , Jintao Chen , Xiangyang Ji

This paper presents a novel strategy for a multi-agent pursuit-evasion game involving multiple faster pursuers with heterogenous speeds and a single slower evader. We define a geometric region, the evader's safe-reachable set, as the…

Multiagent Systems · Computer Science 2025-11-24 Kamal Mammadov , Damith C. Ranasinghe

This paper investigates the application of game-theoretic principles combined with advanced Kalman filtering techniques to enhance maritime target tracking systems. Specifically, the paper presents a two-player, imperfect information,…

Computer Science and Game Theory · Computer Science 2024-10-18 Daniel Leal , Ngoc Hung Nguyen , Alex Skvortsov , Sanjeev Arulampalam , Mahendra Piraveenan

The interdiction of escaping adversaries in urban networks is a critical security challenge. State-of-the-art game-theoretic models, such as the Escape Interdiction Game (EIG), provide comprehensive frameworks but assume a highly dynamic…

Data Structures and Algorithms · Computer Science 2025-10-07 Sukanya Samanta , Manohar Reddy

This work considers a stochastic Nash game in which each player solves a parameterized stochastic optimization problem. In deterministic regimes, best-response schemes have been shown to be convergent under a suitable spectral property…

Optimization and Control · Mathematics 2018-02-08 Jinlong Lei , Uday V. Shanbhag , Jong-Shi Pang , Suvrajeet Sen

In this paper we develop a novel approach to the convergence of Best-Response Dynamics for the family of interference games. Interference games represent the fundamental resource allocation conflict between users of the radio spectrum. In…

Computer Science and Game Theory · Computer Science 2018-11-20 Ilai Bistritz , Amir Leshem

Best-response (BR) schemes represent an important avenue for learning equilibria in noncooperative games. However, extant rate guarantees for BR schemes generally necessitate stringent smoothness requirements on player objectives and the…

Optimization and Control · Mathematics 2026-03-03 Zhuoyu Xiao , Uday V. Shanbhag

Solutions to pursuit-evasion and surveillance-evasion differential games are typically computed and expressed using open-loop representations, with the synthesis of feedback strategies significantly less common. We propose a numerical…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Philipp Braun , Timothy L. Molloy , Gal Barkai , Iman Shames

We evaluate the best-response (BR) algorithm for lattice convex-quadratic games, where the players have nonlinear objectives and unbounded feasible sets. We provide a sufficient condition that if certain interaction matrices (the product of…

Computer Science and Game Theory · Computer Science 2025-03-31 Sriram Sankaranarayanan

This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best…

Optimization and Control · Mathematics 2023-09-04 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

In this paper, a hierarchical one-leader-multi-followers game for a class of continuous-time nonlinear systems with disturbance is investigated by a novel policy iteration reinforcement learning technique in which, the game model consists…

Systems and Control · Electrical Eng. & Systems 2019-07-29 Mohammad reza Satouri , Hamed Kebriaei , Abolhassan Razminia , Mohammad javad Yazdanpanah

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
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