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We investigate the sensitivity of the Nash equilibrium of constrained network aggregative games to changes in exogenous parameters affecting the cost function of the players. This setting is motivated by two applications. The first is the…

计算机科学与博弈论 · 计算机科学 2017-06-28 Francesca Parise , Asuman Ozdaglar

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

生物物理 · 物理学 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

In this paper, we investigate the dynamics of coordinating and anti-coordinating agents in a coevolutionary model for actions and opinions. In the model, the individuals of a population interact on a two-layer network, sharing their…

计算机科学与博弈论 · 计算机科学 2025-07-25 Hong Liang , Mengbin Ye , Lorenzo Zino , Weiguo Xia

Markov branching systems form a fundamental class of stochastic models that are extensively applied in biology, physics, finance, and other domains. These systems are distinguished by their continuous-time evolution and inherent branching…

This paper studies a distributed continuous-time bi-virus model in which two competing viruses spread over a network consisting of multiple groups of individuals. Limiting behaviors of the network are characterized by analyzing the…

最优化与控制 · 数学 2019-01-04 Ji Liu , Philip E. Pare , Angelia Nedich , Choon Yik Tang , Carolyn L. Beck , Tamer Basar

Interactions between people are the basis on which the structure of our society arises as a complex system and, at the same time, are the starting point of any physical description of it. In the last few years, much theoretical research has…

计算机科学与博弈论 · 计算机科学 2017-12-06 Mattia Mazzoli , Angel Sanchez

In this work, we introduce a compartmental advection-diffusion network model to describe the propagation of stress in a population situated in two interconnected spatial zones during a disaster situation. The model accounts for interactions…

偏微分方程分析 · 数学 2024-09-24 Kamal Khalil , Irmand Leblond Mikiela Ndzoumbou

We study SIS epidemic spreading models under population dispersal on multi-layer networks. We consider a patchy environment in which each patch comprises individuals belonging to different classes. Individuals disperse to other patches on a…

最优化与控制 · 数学 2022-11-02 Vishal Abhishek , Vaibhav Srivastava

A Chain Event Graph (CEG) is a graphial model which designed to embody conditional independencies in problems whose state spaces are highly asymmetric and do not admit a natural product structure. In this paer we present a probability…

人工智能 · 计算机科学 2012-06-18 Peter Thwaites , Jim Q. Smith , Robert G. Cowell

The very notion of social network implies that linked individuals interact repeatedly with each other. This allows them not only to learn successful strategies and adapt to them, but also to condition their own behavior on the behavior of…

物理与社会 · 物理学 2015-05-27 Luca Dall'Asta , Matteo Marsili , Paolo Pin

This work is concerned with the application of game theoretic principles to model competition between demand response aggregators for selling excess energy stored in electrochemical storage devices directly to other aggregators in a power…

系统与控制 · 计算机科学 2016-12-05 Mahdi Motalleb , Reza Ghorbani

Most information spreading models consider that all individuals are identical psychologically. They ignore, for instance, the curiosity level of people, which may indicate that they can be influenced to seek for information given their…

物理与社会 · 物理学 2017-06-27 Didier A. Vega-Oliveros , Lilian Berton , Federico Vazquez , Francisco A. Rodrigues

We consider multiple diseases spreading in a static Configuration Model network. We make standard assumptions that infection transmits from neighbor to neighbor at a disease-specific rate and infected individuals recover at a…

种群与进化 · 定量生物学 2015-06-11 Joel C. Miller

The network virus propagation is influenced by various factors, and some of them are neglected in most of the existed models in the literature. In this paper, we study the network virus propagation based on the the epidemiological…

计算机科学与博弈论 · 计算机科学 2014-10-15 Iyed Khammassi , Rachid Elazouzi , Majed Haddad , Issam Mabrouki

We study competition between wireless devices with incomplete information about their opponents. We model such interactions as Bayesian interference games. Each wireless device selects a power profile over the entire available bandwidth to…

计算机科学与博弈论 · 计算机科学 2007-09-05 Sachin Adlakha , Ramesh Johari , Andrea Goldsmith

The environment undergoes perpetual changes that are influenced by a combination of endogenous and exogenous factors. Consequently, it exerts a substantial influence on an individual's physical and psychological state, directly or…

物理与社会 · 物理学 2025-12-11 Yuji Zhang , Minyu Feng , Jürgen Kurths , Attila Szolnoki

We study a coupled epidemic-mobility model in which, at each time, individuals move in a network of spatially-distributed regions (sub-populations) according to a Continuous Time Markov Chain (CTMC) and subsequently interact with the local…

系统与控制 · 电气工程与系统科学 2019-09-30 Vishal Abhishek , Vaibhav Srivastava

We study the two-player safe game of Competitive Diffusion, a game-theoretic model for the diffusion of technologies or influence through a social network. In game theory, safe strategies are mixed strategies with a minimal expected gain…

离散数学 · 计算机科学 2015-07-10 Jeannette Janssen , Celeste Vautour

The rapid increase of photovoltaic cells, batteries, and Electric Vehicles (EVs) in electric grids can result in congested distribution networks. An alternative to enhancing network capacity is a redispatch market, allowing Distribution…

系统与控制 · 电气工程与系统科学 2024-03-19 Amirreza Silani , Simon H. Tindemans

We study optimal behavior of energy producers under a CO_2 emission abatement program. We focus on a two-player discrete-time model where each producer is sequentially optimizing her emission and production schedules. The game-theoretic…

最优化与控制 · 数学 2010-08-24 Michael Ludkovski