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How resources are deployed to secure critical targets in networks can be modelled by Network Security Games (NSGs). While recent advances in deep learning (DL) provide a powerful approach to dealing with large-scale NSGs, DL methods such as…

Cryptography and Security · Computer Science 2022-01-20 Wanqi Xue , Bo An , Chai Kiat Yeo

Despite the notable successes in video games such as Atari 2600, current AI is yet to defeat human champions in the domain of real-time strategy (RTS) games. One of the reasons is that an RTS game is a multi-agent game, in which…

Machine Learning · Computer Science 2019-02-07 Keigo Kawamura , Yoshimasa Tsuruoka

We study automated intrusion response for an IT infrastructure and formulate the interaction between an attacker and a defender as a partially observed stochastic game. To solve the game we follow an approach where attack and defense…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Kim Hammar , Rolf Stadler

Optimization of deep learning algorithms to approach Nash Equilibrium remains a significant problem in imperfect information games, e.g. StarCraft and poker. Neural Fictitious Self-Play (NFSP) has provided an effective way to learn…

Artificial Intelligence · Computer Science 2021-04-23 Yuxuan Chen , Li Zhang , Shijian Li , Gang Pan

Researchers on artificial intelligence have achieved human-level intelligence in large-scale perfect-information games, but it is still a challenge to achieve (nearly) optimal results (in other words, an approximate Nash Equilibrium) in…

Artificial Intelligence · Computer Science 2019-04-09 Li Zhang , Wei Wang , Shijian Li , Gang Pan

Multi-agent interactions have long fueled innovation, from natural predator-prey dynamics to the space race. Self-play (SP) algorithms try to harness these dynamics by pitting agents against ever-improving opponents, thereby creating an…

Machine Learning · Computer Science 2025-07-10 Aaron Dharna , Cong Lu , Jeff Clune

We present a method to automatically find security strategies for the use case of intrusion prevention. Following this method, we model the interaction between an attacker and a defender as a Markov game and let attack and defense…

Machine Learning · Computer Science 2024-04-23 Kim Hammar , Rolf Stadler

Fictitious play with reinforcement learning is a general and effective framework for zero-sum games. However, using the current deep neural network models, the implementation of fictitious play faces crucial challenges. Neural network model…

Machine Learning · Computer Science 2019-12-02 Rong-Jun Qin , Jing-Cheng Pang , Yang Yu

The increasing prevalence of security attacks on software-intensive systems calls for new, effective methods for detecting and responding to these attacks. As one promising approach, game theory provides analytical tools for modeling the…

Software Engineering · Computer Science 2021-12-15 Mingyue Zhang , Nianyu Li , Sridhar Adepu , Eunsuk Kang , Zhi Jin

Normal-form games (NFGs) are the fundamental model of strategic interaction. We study their representation using neural networks. We describe the inherent equivariance of NFGs -- any permutation of strategies describes an equivalent game --…

Computer Science and Game Theory · Computer Science 2024-02-14 Siqi Liu , Luke Marris , Georgios Piliouras , Ian Gemp , Nicolas Heess

We propose a novel neural network architecture, called Non-Trainable Modification (NTM), for computing Nash equilibria in stochastic differential games (SDGs) on graphs. These games model a broad class of graph-structured multi-agent…

Machine Learning · Computer Science 2025-09-17 Ruimeng Hu , Jihao Long , Haosheng Zhou

In this paper, we apply the idea of fictitious play to design deep neural networks (DNNs), and develop deep learning theory and algorithms for computing the Nash equilibrium of asymmetric $N$-player non-zero-sum stochastic differential…

Optimization and Control · Mathematics 2020-09-07 Ruimeng Hu

We study automated intrusion prevention using reinforcement learning. Following a novel approach, we formulate the interaction between an attacker and a defender as an optimal stopping game and let attack and defense strategies evolve…

Machine Learning · Computer Science 2022-05-31 Kim Hammar , Rolf Stadler

Urban Network Security Games (UNSGs), which model the strategic allocation of limited security resources on city road networks, are critical for urban safety. However, finding a Nash Equilibrium (NE) in large-scale UNSGs is challenging due…

Machine Learning · Computer Science 2025-11-14 Shuxin Zhuang , Linjian Meng , Shuxin Li , Minming Li , Youzhi Zhang

Many real-world applications can be described as large-scale games of imperfect information. To deal with these challenging domains, prior work has focused on computing Nash equilibria in a handcrafted abstraction of the domain. In this…

Machine Learning · Computer Science 2016-06-29 Johannes Heinrich , David Silver

Offline Reinforcement Learning (RL) enables policy improvement from fixed datasets without online interactions, making it highly suitable for real-world applications lacking efficient simulators. Despite its success in the single-agent…

Multiagent Systems · Computer Science 2025-10-15 Jingxiao Chen , Weiji Xie , Weinan Zhang , Yong yu , Ying Wen

After the great achievement of solving two-player zero-sum games, more and more AI researchers focus on solving multiplayer games. To facilitate the development of designing efficient learning algorithms for solving multiplayer games, we…

Artificial Intelligence · Computer Science 2025-01-30 Shuxin Zhuang , Shuxin Li , Tianji Yang , Muheng Li , Xianjie Shi , Bo An , Youzhi Zhang

We study automated intrusion response and formulate the interaction between an attacker and a defender as an optimal stopping game where attack and defense strategies evolve through reinforcement learning and self-play. The game-theoretic…

Computer Science and Game Theory · Computer Science 2024-04-23 Kim Hammar , Rolf Stadler

We consider the problem of finding decentralized strategies for multi-agent perimeter defense games. In this work, we design a graph neural network-based learning framework to learn a mapping from defenders' local perceptions and the…

Multiagent Systems · Computer Science 2022-11-04 Elijah S. Lee , Lifeng Zhou , Alejandro Ribeiro , Vijay Kumar

Game theory has been applied to investigate network security. But different security scenarios were often modeled via different types of games and analyzed in an ad-hoc manner. In this paper, we propose an algebraic approach for modeling…

Cryptography and Security · Computer Science 2016-06-16 Qian Zhang , Ying Jiang , Peng Wu
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