Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise

Abstract

We introduce an agent-based model for co-evolving opinion and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable. Agents' movements are governed by positions and opinions of other agents and similarly, the opinion dynamics is influenced by agents' spatial proximity and their opinion similarity. Using numerical simulations and formal analysis, we study this feedback loop between opinion dynamics and mobility of agents in a social space. We investigate the behavior of this ABM in different regimes and explore the influence of various factors on appearance of emerging phenomena such as group formation and opinion consensus. We study the empirical distribution and in the limit of infinite number of agents we derive a corresponding reduced model given by a partial differential equation (PDE). Finally, using numerical examples we show that a resulting PDE model is a good approximation of the original ABM.

References in corpus (16)

• Networks beyond pairwise interactions: structure and dynamics
• The physics of higher-order interactions in complex systems
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Homophily, Cultural Drift and the Co-Evolution of Cultural Groups
• Individualization as driving force of clustering phenomena in humans
• Modelling Collective Opinion Formation by Means of Active Brownian Particles
• Time scale competition leading to fragmentation and recombination transitions in the coevolution of network and states
• The noisy Hegselmann-Krause model for opinion dynamics
• Role of conviction in nonequilibrium models of opinion formation
• Noisy continuous--opinion dynamics
• Emergence of metapopulations and echo chambers in mobile agents
• Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions
• From interacting agents to density-based modeling with stochastic PDEs
• The Impact Of Noise And Topology On Opinion Dynamics In Social Networks
• Opinion diversity and community formation in adaptive networks
• The ambiguous role of social influence on the wisdom of crowds: An analytic approach

Cited by in corpus (3)

• Weak error analysis for a nonlinear SPDE approximation of the Dean-Kawasaki equation
• Co-evolving networks for opinion and social dynamics in agent-based models
• A Hybrid Algorithm for Systems of Non-interacting Particles with an External Potential