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We briefly introduce a new promising field of applications of statistical physics, opinion dynamics, where the systems at study are social groups or communities and the atoms/spins are the individuals (or agents) belonging to such groups.…

统计力学 · 物理学 2017-08-23 Santo Fortunato

The framework of Mean-field Games (MFGs) is used for modelling the collective dynamics of large populations of non-cooperative decision-making agents. We formulate and analyze a kinetic MFG model for an interacting system of non-cooperative…

最优化与控制 · 数学 2024-07-29 Piyush Grover , Mandy Huo

Motivated by the climate crisis that is currently ravaging the planet, we propose and analyze a novel framework for the evolution of anthropogenic climate impact in which the evolution of human environmental behavior and environmental…

动力系统 · 数学 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao

I present a novel approach to estimating the temporal and spatial patterns of violent conflict. I show how we can use highly temporally and spatially disaggregated data on conflict events in tandem with Gaussian processes to estimate…

机器学习 · 统计学 2025-06-10 Simon P. von der Maase

The stochastic Kuramoto model defined on a sequence of graphs is analyzed: the emphasis is posed on the relationship between the mean field limit, the connectivity of the underlying graph and the long time behavior. We give an explicit…

概率论 · 数学 2019-12-24 Fabio Coppini

In this work we study a continuous opinion dynamics model considering 3-agent interactions and group pressure. Agents interact in a fully-connected population, and two parameters govern the dynamics: the agents' convictions $\lambda$, that…

物理与社会 · 物理学 2020-05-26 Nuno Crokidakis

A mathematical model for behavioral changes by pair interactions (i.e. due to direct contact) of individuals is developed. Three kinds of pair interactions can be distinguished: Imitative processes, avoidance processes, and compromising…

统计力学 · 物理学 2007-05-23 Dirk Helbing

We study a multi-group version of the mean-field or Curie-Weiss spin model. For this model, we show how, analogously to the classical (single-group) model, the three temperature regimes are defined. Then we use the method of moments to…

概率论 · 数学 2022-09-28 Werner Kirsch , Gabor Toth

Evolutionary game theory has been successfully used to investigate the dynamics of systems, in which many entities have competitive interactions. From a physics point of view, it is interesting to study conditions under which a coordination…

物理与社会 · 物理学 2015-05-14 Dirk Helbing , Anders Johansson

In a recent series of papers, we proposed a mathematical model for the dynamics of a group of interacting pedestrians. The model is based on a non-Newtonian potential, that accounts for the need of pedestrians to keep both their interacting…

物理与社会 · 物理学 2017-02-13 Francesco Zanlungo , Zeynep Yucel , Takayuki Kanda

We introduce a mean-field framework for the study of systems of interacting particles sharing a conserved quantity. The work generalises and unites the existing fields of asset-exchange models, often applied to socio-economic systems, and…

物理与社会 · 物理学 2021-06-14 Dominic T Robson , Andreas CW Baas , Alessia Annibale

A two-spin system based on the idea used to formulate the dynamical model simulating the process of opinion spreading in a society, where people adopt one of the four social attitudes [Physica A 351, 593 (2005)] is studied. The model is…

统计力学 · 物理学 2021-02-03 Józef Sznajd

Opinion formation models typically represent each individual as a single variable. However, in practice each individual holds interconnected beliefs whose internal organization may influence collective outcomes. To explore this dependence,…

物理与社会 · 物理学 2026-05-21 Irene Ferri , Albert Díaz-Guilera , Hiroki Sayama

Coalition setting among a set of actors (countries, firms, individuals) is studied using concepts from the theory of spin glasses. Given the distribution of respective bilateral propensities to either cooperation or conflict, the phenomenon…

无序系统与神经网络 · 物理学 2009-10-31 Razvan Florian , Serge Galam

The two-body potential of systems with long-range interactions decays at large distances as $V(r)\sim 1/r^\alpha$, with $\alpha\leq d$, where $d$ is the space dimension. Examples are: gravitational systems, two-dimensional hydrodynamics,…

统计力学 · 物理学 2009-09-03 A. Campa , T. Dauxois , S. Ruffo

We present a novel approach to investigate the long-time stochastic dynamics of multi-dimensional classical systems, in contact with a heat-bath. When the potential energy landscape is rugged, the kinetics displays a decoupling of short and…

软凝聚态物质 · 物理学 2013-05-29 O. Corradini , P. Faccioli , H. Orland

We here discuss a model of continuous opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. We concentrate on the version of the…

其他凝聚态物理 · 物理学 2009-11-10 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard

We study binary state contagion dynamics on a social network where nodes act in response to the average state of their neighborhood. We model the competing tendencies of imitation and non-conformity by incorporating an off-threshold into…

物理与社会 · 物理学 2015-03-13 Kameron Decker Harris

Many-body long-range interacting systems can remain approximately in a quasi-stationary state far-from-thermodynamic equilibrium. These states are typically characterized by a pair of counter-propagating density clusters, or by a single…

斑图形成与孤子 · 物理学 2022-12-20 Danilo M. Rivera , Roberto E. Navarro

The risk of conflict is exasperated by a multitude of internal and external factors. Current multivariate analysis paints diverse causal risk profiles that vary with time. However, these profiles evolve and a universal model to understand…

物理与社会 · 物理学 2019-09-30 Gerardo Aquino , Weisi Guo , Alan Wilson