Krause Mean Processes Generated by Cubic Stochastic Matrices with Weak Influences

Historically, the concept of consensus formation through iterative averaging was initially propounded by M. H. DeGroot. Subsequently, it has gained prominence across a diverse spectrum of scientific disciplines. To a certain degree, a Krause mean process serves as a comprehensive model for the dynamics of opinion exchange, wherein opinions are represented as vectors. In this study, we present a framework for opinion exchange dynamics by means of the Krause mean process that is generated by a cubic doubly stochastic matrix with weak influence. The primary objective is to establish a consensus in the multi-agent system.