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The security game is a basic model for resource allocation in adversarial environments. Here there are two players, a defender and an attacker. The defender wants to allocate her limited resources to defend critical targets and the attacker…

Computer Science and Game Theory · Computer Science 2016-06-14 Haifeng Xu

Deep learning based visual sensing has achieved attractive accuracy but is shown vulnerable to adversarial example attacks. Specifically, once the attackers obtain the deep model, they can construct adversarial examples to mislead the model…

Computer Vision and Pattern Recognition · Computer Science 2019-05-31 Qun Song , Zhenyu Yan , Rui Tan

We investigate the equilibrium stability and robustness in a class of moving target defense problems, in which players have both incomplete information and asymmetric cognition. We first establish a Bayesian Stackelberg game model for…

Computer Science and Game Theory · Computer Science 2025-04-15 Hanzheng Zhang , Zhaoyang Cheng , Guanpu Chen , Karl Henrik Johansson

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

Computer Science and Game Theory · Computer Science 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

This paper studies the resilience of second-order networked dynamical systems to strategic attacks. We discuss two widely used control laws, which have applications in power networks and formation control of autonomous agents. In the first…

Optimization and Control · Mathematics 2019-05-09 Mohammad Pirani , Joshua A. Taylor , Bruno Sinopoli

A defender-attacker-target problem with non-moving target is considered. This problem is modeled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional. In this game the pursuer is the defender,…

Optimization and Control · Mathematics 2018-03-06 Vladimir Turetsky , Valery Y. Glizer

The increasing reliance on cyber physical infrastructure in modern power systems has amplified the risk of targeted cyber attacks, necessitating robust and adaptive resilience strategies. This paper presents a mathematically rigorous game…

Systems and Control · Electrical Eng. & Systems 2025-09-11 S Krishna Niketh , Sagar Babu Mitikiri , V Vignesh , Vedantham Lakshmi Srinivas , Mayukha Pal

Switched linear systems are time-varying nonlinear systems whose dynamics switch between different modes, where each mode corresponds to different linear dynamics. They arise naturally to model unexpected failures, environment uncertainties…

Optimization and Control · Mathematics 2019-04-26 Bo Wu , Murat Cubuktepe , Ufuk Topcu

Designing socially optimal policies in multi-agent environments is a fundamental challenge in both economics and artificial intelligence. This paper studies a general framework for learning Stackelberg equilibria in dynamic and uncertain…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Jun He , Andrew L. Liu , Yihsu Chen

The pursuit-evasion game is studied for two adversarial active agents, modelled as a deterministic self-steering pursuer and a stochastic, cognitive evader. The pursuer chases the evader by reorienting its propulsion direction with limited…

Biological Physics · Physics 2026-05-29 Segun Goh , Dennis Haustein , Gerhard Gompper

Defense in large language models (LLMs) is crucial to counter the numerous attackers exploiting these systems to generate harmful content through manipulated prompts, known as jailbreak attacks. Although many defense strategies have been…

Cryptography and Security · Computer Science 2024-12-11 Bocheng Chen , Hanqing Guo , Qiben Yan

We introduce a discrete-time search game, in which two players compete to find an object first. The object moves according to a time-varying Markov chain on finitely many states. The players know the Markov chain and the initial probability…

Computer Science and Game Theory · Computer Science 2020-08-28 Benoit Duvocelle , János Flesch , Mathias Staudigl , Dries Vermeulen

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

This paper proposes a formal approach to online learning and planning for agents operating in a priori unknown, time-varying environments. The proposed method computes the maximally likely model of the environment, given the observations…

Machine Learning · Computer Science 2021-02-09 Melkior Ornik , Ufuk Topcu

Stochastic time-varying optimization is an integral part of learning in which the shape of the function changes over time in a non-deterministic manner. This paper considers multiple models of stochastic time variation and analyzes the…

Optimization and Control · Mathematics 2023-02-23 Ali Yekkehkhany , Han Feng , Donghao Ying , Javad Lavaei

The increasing integration of renewable energy introduces a great challenge to the supply and demand balance of the power grid. To address this challenge, this paper formulates a Stackelberg Markov game (SMG) between an aggregator and…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Siying Huang , Yifen Mu , Ge Chen

We explore a scenario involving two sites and a sequential game between a defender and an attacker, where the defender is responsible for securing the sites while the attacker aims to attack them. Each site holds a loss value for the…

Computer Science and Game Theory · Computer Science 2024-08-05 Md Reya Shad Azim , Mustafa Abdallah

The increasing connectivity and intricate remote access environment have made traditional perimeter-based network defense vulnerable. Zero trust becomes a promising approach to provide defense policies based on agent-centric trust…

Artificial Intelligence · Computer Science 2023-03-07 Yunfei Ge , Tao Li , Quanyan Zhu

This work proposes a moving target defense (MTD) strategy to detect coordinated cyber-physical attacks (CCPAs) against power grids. A CCPA consists of a physical attack, such as disconnecting a transmission line, followed by a coordinated…

Cryptography and Security · Computer Science 2019-08-08 Subhash Lakshminarayana , E. Veronica Belmega , H. Vincent Poor

Active Directory (AD) is the default security management system for Windows domain networks. An AD environment naturally describes an attack graph where nodes represent computers/accounts/security groups, and edges represent existing…

Cryptography and Security · Computer Science 2022-12-09 Mingyu Guo , Max Ward , Aneta Neumann , Frank Neumann , Hung Nguyen
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