The evolution of roles

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