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This paper introduces an improved social force model for companion group that incorporates relative weight attraction. Based on the traditional social force model, the interaction forces among individuals within leader-follower groups are…

物理与社会 · 物理学 2025-09-22 Lihui Dong , Yingshuang He , Yunfeng Deng , Qiuyu Zheng , Tianming Wang

Many classical models of collective behavior assume that emergent dynamics result from external and observable interactions among individuals. However, how collective dynamics in human populations depend on the internal psychological…

物理与社会 · 物理学 2024-09-27 Alice C Schwarze , Mari Kawakatsu , Sarah Iams , Nina H Fefferman , Tahra L Eissa

We investigate the full dynamics of capital allocation and wealth distribution of heterogeneous agents in a frictional economy during booms and busts using tools from mean-field games. Two groups in our models, namely the expert and the…

数理金融 · 定量金融 2025-02-18 Hoang Vu , Tomoyuki Ichiba

Three-body interactions have been found in physics, biology, and sociology. To investigate their effect on dynamical systems, as a first step, we study numerically and theoretically a system of phase oscillators with three-body interaction.…

适应与自组织系统 · 物理学 2014-01-15 Takuma Tanaka , Toshio Aoyagi

In this work we introduce an approach for modeling and analyzing collective behavior of a group of agents using moments. We represent the group of agents via their distribution and derive a method to estimate the dynamics of the moments. We…

最优化与控制 · 数学 2020-04-30 Silun Zhang , Axel Ringh , Xiaoming Hu , Johan Karlsson

We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

物理与社会 · 物理学 2012-05-29 S. R. Souza , S. Goncalves

We review various methods to investigate the statics and the dynamics of collective composition fluctuations in dense polymer mixtures within fluctuating-field approaches. The central idea of fluctuating-field theories is to rewrite the…

软凝聚态物质 · 物理学 2007-05-23 Marcus Mueller , Friederike Schmid

We investigate a dynamical model of opinion formation in which an individual's opinion is influenced by interactions with a group of other agents. We introduce a bias towards one of the opinions in a manner not considered earlier to the…

物理与社会 · 物理学 2024-09-17 Pratik Mullick , Parongama Sen

A simple model, suitable to describe the dynamics of a political system consisting of three macro--groups affected by turncoat--like behaviors and the influence of the opportunistic attitudes of politicians on voters' opinion, is presented.…

物理与社会 · 物理学 2021-08-03 Rosa Di Salvo , Matteo Gorgone , Francesco Oliveri

Social issues are generally discussed by highly-involved and less-involved people to build social norms defining what has to be thought and done about them. As self-involved agents share different attitude dynamics to other agents Wood,…

多智能体系统 · 计算机科学 2018-05-28 Sylvie Huet , Jean-Denis Mathias

We consider several models with long-range interactions evolving via Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean Field (HMF) model and perturbed HMF models with either global anisotropy or an on-site…

统计力学 · 物理学 2009-11-13 Kavita Jain , Freddy Bouchet , David Mukamel

We propose, develop, and analyze a mathematical model of intergroup attitudes in a community that is divided between two distinct social groups (which may be distinguished by religion, ethnicity, or some other socially distinguishing…

物理与社会 · 物理学 2015-12-07 Christopher Thron , Rachel McCoy

A tragedy of the commons (TOC) occurs when individuals acting in their own self-interest deplete commonly-held resources, leading to a worse outcome than had they cooperated. Over time, the depletion of resources can change incentives for…

种群与进化 · 定量生物学 2019-04-17 Yu-Hui Lin , Joshua S. Weitz

A local agglomeration of cooperators can support the survival or spreading of cooperation, even when cooperation is predicted to die out according to the replicator equation, which is often used in evolutionary game theory to study the…

物理与社会 · 物理学 2009-03-06 Dirk Helbing

We propose a novel model of oscillatory chains that generalizes the contour discrete model of Buslaev nets. The model offers a continuous description of conflicts in system dynamics, interpreted as interactions between neighboring…

适应与自组织系统 · 物理学 2025-04-08 Ihor Lubashevsky , Marina Yashina , Vasily Lubashevskiy

The original Leader-Follower model, proposed in \cite{zhao2018understanding}, categorizes agents with opinions in $[-1,1]$ into a follower group, a leader group with a positive target opinion in $[0,1]$, and a leader group with a negative…

最优化与控制 · 数学 2024-08-07 Hsin-Lun Li

We study a model in which two players with opposing interests try to alter a status quo through instability-generating actions. We show that instability can be used to secure longer-term durable changes, even if it is costly to generate and…

理论经济学 · 经济学 2023-03-14 César Barilla , Duarte Gonçalves

Human interactions can be either positive or negative, giving rise to different complex social or anti-social phenomena. The dynamics of these interactions often lead to certain spatio-temporal patterns and complex networks, which can be…

物理与社会 · 物理学 2019-03-18 Syed Shariq Husain , Kiran Sharma

In this paper we present a novel crowd simulation method by modeling the generation and contagion of panic emotion under multi-hazard circumstances. Specifically, we first classify hazards into different types (transient and persistent,…

多智能体系统 · 计算机科学 2019-02-19 Mingliang Xu , Xiaozheng Xie , Pei Lv , Jiangwei Niu , Hua Wang , Chaochao Li , Ruijie Zhu , Zhigang Deng , Bing Zhou

The destruction of a chaotic attractor leading to rough changes in the dynamics of a dynamical system is studied. Local bifurcations are characterised by a single or a pair of characteristic exponents crossing the imaginary axis. The…

混沌动力学 · 物理学 2020-11-16 Alexis Tantet , Valerio Lucarini , Frank Lunkeit , Henk A. Dijkstra