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Krause Mean Processes Generated by Cubic Stochastic Matrices with Weak Influences

Khikmat SaburovAjou University in Tashkent, 100204, Tashkent, Uzbekistan
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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.

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