Opinion dynamics using majority functions

Paulin Melatagia Yonta and René Ndoundam

Mathematical Social Sciences, 2009, vol. 57, issue 2, 223-244

Abstract: In this paper, we study the convergence of a mathematical model of opinion dynamics called the majority model. In this model, at each iteration step, each individual adopts the opinion which exerts on him the maximum social pressure. Under some assumptions on interaction among members of the society, we show that, in parallel mode, attractors of the system have period at most two and in sequential mode only fixed points are obtained. We also bound the transient length of iteration graphs of the society in both studied iterating modes.

Keywords: Majority; function; Opinion; dynamics; Transient; length; Period; Quasi-symmetry; Lyapunov; functional (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:57:y:2009:i:2:p:223-244

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