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The mathematical characterization of social-distancing games in classical epidemic theory remains an important question, for their applications to both infectious-disease theory and memetic theory. We consider a special case of the dynamic…

计算机科学与博弈论 · 计算机科学 2026-03-16 Connor D Olson , Timothy C Reluga

Deep neural networks are vulnerable to adversarial examples, which can fool deep models by adding subtle perturbations. Although existing attacks have achieved promising results, it still leaves a long way to go for generating transferable…

计算机视觉与模式识别 · 计算机科学 2022-01-04 Yexin Duan , Junhua Zou , Xingyu Zhou , Wu Zhang , Jin Zhang , Zhisong Pan

We analyze a cooperative game, where the cooperative act is not based on the previous behaviour of the co-player, but on the similarity between the players. This system has been studied in a mean-field description recently [A. Traulsen and…

统计力学 · 物理学 2007-05-23 Arne Traulsen , Jens Christian Claussen

The concept of an evolutionarily stable strategy (ESS), introduced by Smith and Price, is a refinement of Nash equilibrium in 2-player symmetric games in order to explain counter-intuitive natural phenomena, whose existence is not…

计算复杂性 · 计算机科学 2017-01-30 Themistoklis Melissourgos , Paul Spirakis

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

最优化与控制 · 数学 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

最优化与控制 · 数学 2018-10-22 Fu Lin

An active line of research has considered games played on networks in which payoffs depend on both a player's individual decision and also the decisions of her neighbors. Such games have been used to model issues including the formation of…

计算机科学与博弈论 · 计算机科学 2013-05-01 Flavio Chierichetti , Jon Kleinberg , Sigal Oren

This paper reframes approachability theory within the context of population games. Thus, whilst one player aims at driving her average payoff to a predefined set, her opponent is not malevolent but rather extracted randomly from a…

最优化与控制 · 数学 2014-07-16 Dario Bauso , Thomas W L Norman

The price of anarchy has become a standard measure of the efficiency of equilibria in games. Most of the literature in this area has focused on establishing worst-case bounds for specific classes of games, such as routing games or more…

计算机科学与博弈论 · 计算机科学 2022-06-09 Roberto Cominetti , Valerio Dose , Marco Scarsini

The inability to guarantee robustness is one of the major obstacles to the application of deep learning models in security-demanding domains. We identify that the most commonly used cross-entropy (CE) loss does not guarantee robust boundary…

机器学习 · 计算机科学 2023-02-21 Weiwei Gao , Dazhi Zhang , Yao Li , Zhichang Guo , Ovanes Petrosian

This paper studies the sensor placement problem in a networked control system for improving its security against cyber-physical attacks. The problem is formulated as a zero-sum game between an attacker and a detector. The attacker's…

最优化与控制 · 数学 2018-09-25 Mohammad Pirani , Ehsan Nekouei , Henrik Sandberg , Karl Henrik Johansson

In the contemporary digital landscape, cybersecurity has become a critical issue due to the increasing frequency and sophistication of cyber attacks. This study utilizes a non-zero-sum game theoretical framework to model the strategic…

计算机科学与博弈论 · 计算机科学 2025-05-23 Dongyoung Park , Gaby G. Dagher

A Mathematical Program with Equilibrium Constraints (MPEC) is formulated to capture the relationships between multiple Mobility Service Providers (MSPs) and the users of a multi-modal transport network. The network supply structure is…

计算机科学与博弈论 · 计算机科学 2023-05-24 Claudia Bandiera , Richard D. Connors , Francesco Viti

A new solution concept for two-player zero-sum matrix games with multi-dimensional payoff is introduced. It is based on extensions of vector orders in K-dimensional spaces to order relations in their power sets, so-called set relations, and…

最优化与控制 · 数学 2017-01-31 Andreas H. Hamel , Andreas Loehne

This paper studies the vulnerability of flow networks against adversarial attacks. In particular, consider a power system (or, any system carrying a physical flow) consisting of $N$ transmission lines with initial loads $L_1, \ldots , L_N$…

物理与社会 · 物理学 2018-04-05 Talha Cihad Gulcu , Vaggos Chatziafratis , Yingrui Zhang , Osman Yagan

This paper considers the problem of solving a symmetric positive definite system of linear equations over a network of agents with arbitrary asynchronous interactions and membership dynamics. The latter implies that each agent is allowed to…

系统与控制 · 计算机科学 2016-06-14 Jie Lu , Choon Yik Tang

In recent years, many network perturbation techniques, such as topological perturbations and service perturbations, were employed to study and improve the robustness of complex networks. However, there is no general way to evaluate the…

统计力学 · 物理学 2010-10-25 D. Liu , H. Wang , P. Van Mieghem

We study multiplayer quantitative reachability games played on a finite directed graph, where the objective of each player is to reach his target set of vertices as quickly as possible. Instead of the well-known notion of Nash equilibrium…

计算机科学与博弈论 · 计算机科学 2023-06-22 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Jean-François Raskin , Marie van den Bogaard

Robustness is pivotal for comprehending, designing, optimizing, and rehabilitating networks, with simulation attacks being the prevailing evaluation method. Simulation attacks are often time-consuming or even impractical, however, a more…

社会与信息网络 · 计算机科学 2024-03-04 Wenjun Jiang , Peiyan Li , Tianlong Fan , Ting Li , Chuan-fu Zhang , Tao Zhang , Zong-fu Luo

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

计算机科学与博弈论 · 计算机科学 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani