@inproceedings{bb15929e272b4017b677777d73eb1e0a,
title = "Distributed Convergence to Nash Equilibria in a Zero-Sum Resource Allocation Game",
abstract = "This paper studies the problem of how to allocate multiple defensive resources to protect multiple sites from possible attacks, which is formulated by a zero-sum resource allocation game with inequality constraints. The considered two classes of players (defenders and attackers) have opposite objectives for a common linear objective function. We put forward a distributed continuous-time algorithm for such problems, and provide a rigorous proof of convergence to a Nash equilibrium. In the end, the efficacy and correctness of our method are illustrated via a numerical example.",
keywords = "defender-attacker game, distributed algorithm, Nash equilibria, resource allocation, zero-sum game",
author = "Jie Hou and Xianlin Zeng",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.; 7th Chinese Conference on Swarm Intelligence and Cooperative Control, CCSICC 2023 ; Conference date: 24-11-2023 Through 27-11-2023",
year = "2024",
doi = "10.1007/978-981-97-3324-8_7",
language = "English",
isbn = "9789819733231",
series = "Lecture Notes in Electrical Engineering",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "77--88",
editor = "Yongzhao Hua and Yishi Liu and Liang Han",
booktitle = "Proceedings of 2023 7th Chinese Conference on Swarm Intelligence and Cooperative Control - Swarm Optimization Technologies",
address = "Germany",
}