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相关论文: An Exact Method for Fortification Games

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Fortification-interdiction games are tri-level adversarial games where two opponents act in succession to protect, disrupt and simply use an infrastructure for a specific purpose. Many such games have been formulated and tackled in the…

计算复杂性 · 计算机科学 2025-12-22 Alberto Boggio Tomasaz , Margarida Carvalho , Roberto Cordone , Pierre Hosteins

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…

系统与控制 · 电气工程与系统科学 2024-04-23 Kim Hammar , Rolf Stadler

A mean-field game (MFG) seeks the Nash Equilibrium of a game involving a continuum of players, where the Nash Equilibrium corresponds to a fixed point of the best-response mapping. However, simple fixed-point iterations do not always…

最优化与控制 · 数学 2025-07-15 Jiajia Yu , Xiuyuan Cheng , Jian-Guo Liu , Hongkai Zhao

The Stackelberg security game is played between a defender and an attacker, where the defender needs to allocate a limited amount of resources to multiple targets in order to minimize the loss due to adversarial attack by the attacker.…

计算机科学与博弈论 · 计算机科学 2022-04-27 Rufan Bai , Haoxing Lin , Xinyu Yang , Xiaowei Wu , Minming Li , Weijia Jia

This work studies Stackelberg network interdiction games -- an important class of games in which a defender first allocates (randomized) defense resources to a set of critical nodes on a graph while an adversary chooses its path to attack…

最优化与控制 · 数学 2023-01-31 Tien Mai , Avinandan Bose , Arunesh Sinha , Thanh H. Nguyen

Effective game-theoretic modeling of defender-attacker behavior is becoming increasingly important. In many domains, the defender functions not only as a player but also the designer of the game's payoff structure. We study Stackelberg…

计算机科学与博弈论 · 计算机科学 2018-05-23 Zheyuan Ryan Shi , Ziye Tang , Long Tran-Thanh , Rohit Singh , Fei Fang

We propose a policy iteration method to solve an inverse problem for a mean-field game (MFG) model, specifically to reconstruct the obstacle function in the game from the partial observation data of value functions, which represent the…

最优化与控制 · 数学 2026-02-12 Kui Ren , Nathan Soedjak , Shanyin Tong

Anticipating the strategies of potential attackers is crucial for protecting critical infrastructure. We can represent the challenge of the defenders of such infrastructure as a Stackelberg security game. The defender must decide how to…

计算机科学与博弈论 · 计算机科学 2024-05-16 Pamela Bustamante-Faúndez , Víctor Bucarey L. , Martine Labbé , Vladimir Marianov , Fernando Ordóñez

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…

机器学习 · 计算机科学 2022-05-31 Kim Hammar , Rolf Stadler

We study Stackelberg equilibria in finitely repeated games, where the leader commits to a strategy that picks actions in each round and can be adaptive to the history of play (i.e. they commit to an algorithm). In particular, we study…

计算机科学与博弈论 · 计算机科学 2024-03-08 Natalie Collina , Eshwar Ram Arunachaleswaran , Michael Kearns

Modern organizations (e.g., hospitals, social networks, government agencies) rely heavily on audit to detect and punish insiders who inappropriately access and disclose confidential information. Recent work on audit games models the…

计算机科学与博弈论 · 计算机科学 2015-03-03 Jeremiah Blocki , Nicolas Christin , Anupam Datta , Ariel Procaccia , Arunesh Sinha

We present a resource-planning game for cyber-security of networked control systems (NCS). The NCS is assumed to be operating in closed-loop using a linear state-feedback $\mathcal{H}_2$ controller. A zero-sum, two-player Stackelberg game…

最优化与控制 · 数学 2022-08-26 Pratishtha Shukla , Lu An , Aranya Chakrabortty , Alexandra Duel-Hallen

Many relevant applications from diverse areas such as marketing, wildlife conservation, or defending critical infrastructure can be modeled as interdiction games. In this work, we introduce interdiction games whose objective is a monotone…

最优化与控制 · 数学 2023-03-24 Kübra Tanınmış , Markus Sinnl

Securing networked infrastructures is important in the real world. The problem of deploying security resources to protect against an attacker in networked domains can be modeled as Network Security Games (NSGs). Unfortunately, existing…

人工智能 · 计算机科学 2021-06-03 Wanqi Xue , Youzhi Zhang , Shuxin Li , Xinrun Wang , Bo An , Chai Kiat Yeo

Here, we prove the existence of solutions to first-order mean-field games (MFGs) arising in optimal switching. First, we use the penalization method to construct approximate solutions. Then, we prove uniform estimates for the penalized…

偏微分方程分析 · 数学 2016-10-04 Diogo A. Gomes , Stefania Patrizi

This paper proposes a novel Mean-Field Game (MFG) framework for large-scale attacker-defender systems aimed at protecting one or multiple High-Value Units (HVUs). Motivated by classical agent-wise attrition models, we introduce a…

偏微分方程分析 · 数学 2026-04-03 Avetik Arakelyan , Tigran Bakaryan , Davit Alaverdyan , Naira Hovakimyan , Isaac Kaminer

In this article, we propose two numerical methods, the Gaussian Process (GP) method and the Fourier Features (FF) algorithm, to solve mean field games (MFGs). The GP algorithm approximates the solution of a MFG with maximum a posteriori…

数值分析 · 数学 2022-05-10 Chenchen Mou , Xianjin Yang , Chao Zhou

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…

计算机科学与博弈论 · 计算机科学 2016-06-14 Haifeng Xu

Min-max optimization problems (i.e., min-max games) have attracted a great deal of attention recently as their applicability to a wide range of machine learning problems has become evident. In this paper, we study min-max games with…

计算机科学与博弈论 · 计算机科学 2022-08-23 Denizalp Goktas , Amy Greenwald

Adversarial Patrolling games form a subclass of Security games where a Defender moves between locations, guarding vulnerable targets. The main algorithmic problem is constructing a strategy for the Defender that minimizes the worst damage…

人工智能 · 计算机科学 2026-04-22 Vojtěch Kůr , Vít Musil , Vojtěch Řehák
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