Dynamics of interdependent multidimensional opinions

Abstract

In opinion dynamics, individuals in a group can change their opinions on issues as a result of connections to other individuals. Motivated by the DeGroot model, we proposed an extended DeGroot model which allows agents to revise their opinions on multiple interdependent topics. We introduce a coupling function which indicates couplings between opinions of multiple interdependent topics. This extended model allows us to choose a specific mathematical function to represent a specific situation. A model is presented which describes the dynamics of the opinions of individuals in a group on one topic by pooling their neighbors' opinions and the influences of their own opinions on multiple topics. Different cases of coupling between agents opinions are investigated. Numerical results are provided that demonstrate how couplings between a number of issue specific opinions influence the convergence of opinions of agents in the network.