  In this study we arrive at a closed form expression for measuring vector
assortativity in networks motivated by our use-case which is to observe
patterns of social mobility in a society. Based on existing works on social
mobility within economics literature, and social reproduction within sociology
literature, we motivate the construction of an occupational network structure
to observe mobility patterns. Basing on existing literature, over this
structure, we define mobility as assortativity of occupations attributed by the
representation of categories such as gender, geography or social groups. We
compare the results from our vector assortativity measure and averaged scalar
assortativity in the Indian context, relying on NSSO 68th round on employment
and unemployment. Our findings indicate that the trends indicated by our vector
assortativity measure is very similar to what is indicated by the averaged
scalar assortativity index. We discuss some implications of this work and
suggest future directions.
