Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 47, Issue 7, Pages 4615-4621Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0362-546X(01)00574-0
Keywords
consensus formation; bounded confidence; repeated averaging; discrete dynamical system; hierarchical structure
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Consensus formation among n experts is modeled as a positive discrete dynamical system in n dimensions. Experts revise their opinion by repeated averaging over the opinions of those experts whom they trust within some range of confidence (BC model). We present a necessary and sufficient condition for reaching a consensus in the uniform BC model. We also extend the BC model to the hierarchic BC model to model hierarchic structures inside the group of experts.
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