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Decision-making individuals are typically either an imitator, who mimics the action of the most successful individual(s), a conformist (or coordinating individual), who chooses an action if enough others have done so, or a nonconformist (or…

动力系统 · 数学 2022-02-11 Hien Le , Mohaddeseh Rajaee , Pouria Ramazi

We introduce and discuss certain kinetic models of (continuous) opinion formation involving both exchange of opinion between individual agents and diffusion of information. We show conditions which ensure that the kinetic model reaches non…

数学物理 · 物理学 2007-05-23 G. Toscani

This paper studies a class of consensus dynamics where the interactions between agents are affected by a time-varying unknown scaling factor. This situation is encountered in the control of robotic fleets over a wireless network or in…

系统与控制 · 电气工程与系统科学 2025-11-14 Zoltan Nagy , Irinel-Constantin Morarescu , Lucian Busoniu

This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable…

偏微分方程分析 · 数学 2020-11-10 Nastassia Duteil , Benedetto Piccoli

We recently proposed a model coupling the evolution of the opinions of the individual with the local network topology. The opinion dynamics is based on the Bounded Confidence model. The social networks is based on a group concept where each…

物理与社会 · 物理学 2010-03-19 F. Gargiulo , S. Huet

In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

偏微分方程分析 · 数学 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

In this work, we focus on strategies to influence the opinion dynamics of a well-connected society. We propose a generalization of the popular voter model. This variant of the voter model can capture a wide range of individuals including…

社会与信息网络 · 计算机科学 2020-02-17 Arunabh Saxena , Bhumesh Kumar , Anmol Gupta , Neeraja Sahasrabudhe , Sharayu Moharir

We study a multiscale approach for the control of agent-based, two-population models. The control variable acts over one population of leaders, which influence the population of followers via the coupling generated by their interaction. We…

最优化与控制 · 数学 2018-03-02 Giacomo Albi , Dante Kalise

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

系统与控制 · 电气工程与系统科学 2023-02-16 Yiheng Fu , Pouria Ramazi

In this work we define a kinetic model for understanding the impact of heterogeneous opinion formation dynamics on epidemics. The considered many-agent system is characterized by nonsymmetric interactions which define a coupled system of…

物理与社会 · 物理学 2024-03-13 Sabrina Bonandin , Mattia Zanella

It is shown, that the Boltzmann-like equations allow the formulation of a very general model for behavioral changes. This model takes into account spontaneous (or externally induced) behavioral changes and behavioral changes by pair…

统计力学 · 物理学 2009-10-31 Dirk Helbing

In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

动力系统 · 数学 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

Collective leadership and herding may arise in standard models of opinion dynamics as an interplay of a strong separation of time scales within the population and its hierarchical organization. Using the voter model as a simple opinion…

物理与社会 · 物理学 2017-07-12 Liudmila Rozanova , Marian Boguna

In this paper we study binary interaction schemes with uncertain parameters for a general class of Boltzmann-type equations with applications in classical gas and aggregation dynamics. We consider deterministic (i.e., a priori averaged) and…

偏微分方程分析 · 数学 2018-11-05 Andrea Tosin , Mattia Zanella

In this paper, we analyze the behavior of a multi-agent system driven by the interactions of agents within a competitive environment. To achieve this, we describe the transition probabilities that underlie the system's stochastic nature. We…

多智能体系统 · 计算机科学 2024-12-23 Mohammad Daneshvar , Mandana Delavari

Under certain circumstances such as lack of information or bounded rationality, human players can take decisions on which strategy to choose in a game on the basis of simple opinions. These opinions can be modified after each round by…

物理与社会 · 物理学 2015-06-05 Floriana Gargiulo , Jose J. Ramasco

In many settings of interest, a policy is set by one party, the leader, in order to influence the action of another party, the follower, where the follower's response is determined by some private information. A natural question to ask is,…

计算机科学与博弈论 · 计算机科学 2025-04-23 Michael Albert , Quinlan Dawkins , Minbiao Han , Haifeng Xu

Models of continuous opinion dynamics under bounded confidence show a sharp transition between a consensus and a polarization phase at a critical global bound of confidence. In this paper, heterogeneous bounds of confidence are studied. The…

物理与社会 · 物理学 2010-12-07 Jan Lorenz

In this paper, we present a novel model to characterize individual tendencies in repeated decision-making scenarios, with the goal of designing model-based control strategies that promote virtuous choices amidst social and external…

系统与控制 · 电气工程与系统科学 2025-03-06 Chiara Ravazzi , Valentina Breschi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

A broad range of dynamical systems involve multi-body interactions, or group interactions, which may not be encoded in traditional graphical structures. In this work, we focus on a canonical example from opinion dynamics, the Majority Rule,…

物理与社会 · 物理学 2021-09-01 James Noonan , Renaud Lambiotte