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We introduce and study a model stemming from game theory for the spread of an epidemic throughout a given population. Each agent is allowed to choose an action whose value dictates to what extent they limit their social interactions, if at…

Probability · Mathematics 2023-03-20 Sayar Karmakar , Moumanti Podder , Souvik Roy , Soumyarup Sadhukhan

We present a detailed investigation of the behavior of the nonlinear q-voter model for opinion dynamics. At the mean-field level we derive analytically, for any value of the number q of agents involved in the elementary update, the phase…

Physics and Society · Physics 2015-06-12 Paolo Moretti , Suyu Liu , Claudio Castellano , Romualdo Pastor-Satorras

In this paper we study iterative procedures for stationary equilibria in games with large number of players. Most of learning algorithms for games with continuous action spaces are limited to strict contraction best reply maps in which the…

Machine Learning · Computer Science 2012-10-18 Hamidou Tembine , Raul Tempone , Pedro Vilanova

Deception is a technique to mislead human or computer systems by manipulating beliefs and information. For the applications of cyber deception, non-cooperative games become a natural choice of models to capture the adversarial interactions…

Cryptography and Security · Computer Science 2019-02-12 Tao Zhang , Linan Huang , Jeffrey Pawlick , Quanyan Zhu

We propose a framework for cyber risk assessment and mitigation which models attackers as formal planners and defenders as interdicting such plans. We illustrate the value of plan interdiction problems by first modeling network cyber risk…

Cryptography and Security · Computer Science 2018-11-16 Yevgeniy Vorobeychik , Michael Pritchard

In this paper, we consider a mean field game model inspired by crowd motion in which several interacting populations evolving in $\mathbb R^d$ aim at reaching given target sets in minimal time. The movement of each agent is described by a…

Optimization and Control · Mathematics 2022-08-16 Saeed Sadeghi Arjmand , Guilherme Mazanti

We introduce Mean Field Markov games with $N$ players, in which each individual in a large population interacts with other randomly selected players. The states and actions of each player in an interaction together determine the…

Optimization and Control · Mathematics 2012-01-12 H. Tembine , J. -Y. Le Boudec , R. El-Azouzi , E. Altman

With computing now ubiquitous across government, industry, and education, cybersecurity has become a critical component for every organization on the planet. Due to this ubiquity of computing, cyber threats have continued to grow year over…

Cryptography and Security · Computer Science 2024-12-03 Erick Galinkin , Emmanouil Pountrourakis , Spiros Mancoridis

We introduce a mean field game with rank-based reward: competing agents optimize their effort to achieve a goal, are ranked according to their completion time, and paid a reward based on their relative rank. First, we propose a tractable…

Optimization and Control · Mathematics 2017-08-07 Marcel Nutz , Yuchong Zhang

In this paper, we investigate the robustness of stationary mean-field equilibria in the presence of model uncertainties, specifically focusing on infinite-horizon discounted cost functions. To achieve this, we initially establish…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Uğur Aydın , Naci Saldi

In this paper, we investigate game-theoretic strategies for containing spreading processes on large-scale networks. Specifically, we consider the class of networked susceptible-infected-susceptible (SIS) epidemics where a large population…

Systems and Control · Electrical Eng. & Systems 2024-07-04 Abhisek Satapathi , Ashish R. Hota

Coordinating communication and control is a key component in the stability and performance of networked multi-agent systems. While single user networked control systems have gained a lot of attention within this domain, in this work, we…

Optimization and Control · Mathematics 2025-06-25 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Melih Bastopcu , Tamer Başar

A cyber security problem in a networked system formulated as a resilient graph problem based on a game-theoretic approach is considered. The connectivity of the underlying graph of the network system is reduced by an attacker who removes…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Yurid Nugraha , Ahmet Cetinkaya , Tomohisa Hayakawa , Hideaki Ishii , Quanyan Zhu

Defending against botnets has always been a cat and mouse game. Cyber-security researchers and government agencies attempt to detect and take down botnets by playing the role of the cat. In this context, a lot of work has been done towards…

Cryptography and Security · Computer Science 2017-12-12 Emmanouil Vasilomanolakis , Jan Helge Wolf , Leon Böck , Shankar Karuppayah , Max Mühlhäuser

In this paper we consider a mean field approach to modeling the agents flow over a transportation network. In particular, beside a standard framework of mean field games, with controlled dynamics by the agents and costs mass-distribution…

Optimization and Control · Mathematics 2020-06-18 Fabio Bagagiolo , Rosario Maggistro , Raffaele Pesenti

In this paper, we propose a mean-field game model for the price formation of a commodity whose production is subjected to random fluctuations. The model generalizes existing deterministic price formation models. Agents seek to minimize…

Analysis of PDEs · Mathematics 2020-03-05 Diogo Gomes , Julian Gutierrez , Ricardo Ribeiro

We formulate a stochastic game of mean field type where the agents solve optimal stopping problems and interact through the proportion of players that have already stopped. Working with a continuum of agents, typical equilibria become…

Optimization and Control · Mathematics 2017-12-01 Marcel Nutz

Securing dynamic networks against adversarial actions is challenging because of the need to anticipate and counter strategic disruptions by adversarial entities within complex network structures. Traditional game-theoretic models, while…

Computational Complexity · Computer Science 2023-12-21 Dhananjay Raju , Georgios Bakirtzis , Ufuk Topcu

This chapter will first present a principal-agent game-theoretic model to capture the interactions between one insurer and one user. The insurer is deemed as the principal who does not have incomplete information about user's security…

Computers and Society · Computer Science 2020-01-01 Quanyan Zhu

Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled objects in interaction. Though these models are much simpler than the underlying differential games they describe in some limit, their…

Physics and Society · Physics 2020-07-15 Thibault Bonnemain , Thierry Gobron , Denis Ullmo
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