The evolution of roles


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Date

2022-01

Publication Type

Journal Article

ETH Bibliography

yes

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Abstract

We propose a novel formalization of roles in social networks that unifies the most commonly used definitions of role equivalence. As one consequence, we obtain a single, straightforward proof that role equivalences form lattices. Our formalization focuses on the evolution of roles from arbitrary initial conditions and thereby generalizes notions of relative and iterated roles that have been suggested previously. In addition to the unified structure result this provides a potential micro-foundation for the emergence of roles. Considering the genesis of roles may explain, and help overcome, the problem that social networks rarely exhibit interesting role equivalences of the traditional kind. Finally, we discuss extensions of the role concept to multivariate networks with actor and tie attributes by example.

Publication status

published

Editor

Book title

Volume

68

Pages / Article No.

195 - 208

Publisher

Elsevier

Event

Edition / version

Methods

Software

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Date collected

Date created

Subject

Network analysis; Roles; Role evolution

Organisational unit

09610 - Brandes, Ulrik / Brandes, Ulrik check_circle

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