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 Heterophilious dynamics enhances consensus

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We review a general class of models for self-organized dynamics based on alignment. The dynamics of such systems is governed solely by interactions among individuals or -agents,- with the tendency to adjust to their `environmental averages. This, in turn, leads to the formation of clusters, e.g., colonies of ants, flocks of birds, parties of people, etc. A natural question which arises in this context is to understand when and how clusters emerge through the self-alignment of agents, and what type of -rules of engagement- influence the formation of such clusters. Of particular interest to us are cases in which the self-organized behavior tends to concentrate into one cluster, reflecting a consensus of opinions, flocking or concentration of other positions intrinsic to the dynamics. Many standard models for self-organized dynamics in social, biological and physical science assume that the intensity of alignment increases as agents get closer, reflecting a common tendency to align with those who think or act alike. Moreover -Similarity breeds connection,- reflects our intuition that increasing the intensity of alignment as the difference of positions decreases, is more likely to lead to a consensus. We argue here that the converse is true: when the dynamics is driven by local interactions, it is more likely to approach a consensus when the interactions among agents \emph{increase} as a function of their difference in position. \emph{Heterophily} - the tendency to bond more with those who are different rather than with those who are similar, plays a decisive r\^{o}le in the process of clustering. We point out that the number of clusters in heterophilious dynamics \emph{decreases} as the heterophily dependence among agents increases. In particular, sufficiently strong heterophilious interactions enhance consensus.

Autor: Sebastien Motsch; Eitan Tadmor

Fuente: https://archive.org/

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