Krause, U. A discrete nonlinear and non-autonomous model of consensus formation. (English) Zbl 0988.39004 Elaydi, S. (ed.) et al., Communications in difference equations. Proceedings of the 4th international conference on difference equations, Poznan, Poland, August 27-31, 1998. Amsterdam: Gordon and Breach Science Publishers. 227-236 (2000). Summary: Consensus formation among \(n\) experts is modeled as a positive discrete dynamical system in \(n\) dimensions. The well-known linear but non-autonomous model is extended to a nonlinear one admitting also various kinds of averaging besides the weighted arithmetic mean. For this model a sufficient condition for reaching a consensus is presented. As a special case consensus formation under bounded confidence is analyzed.For the entire collection see [Zbl 0964.00041]. Cited in 1 ReviewCited in 71 Documents MSC: 39A11 Stability of difference equations (MSC2000) 60J20 Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) Keywords:Markov chains; consensus formation; averaging; bounded confidence; positive discrete dynamical system PDFBibTeX XMLCite \textit{U. Krause}, in: Communications in difference equations. Proceedings of the 4th international conference on difference equations, Poznan, Poland, August 27--31, 1998. Amsterdam: Gordon and Breach Science Publishers. 227--236 (2000; Zbl 0988.39004)