Compositional Equivalence with actor attributes: Positional analysis of\n the the Florentine Families network

Abstract

This paper extends Compositional Equivalence ---which is a structural\ncorrespondence type aimed for multiplex networks--- by incorporating actor\nattributes in the modelling of the network relational structure as diagonal\nmatrices. As an illustration, we construct the positional system of the\nFlorentine families' network in the 15th century with Business and Marriage\nties together with relevant characteristics acquired from the actors such as\nfamilies' financial Wealth and their number of Priorates. Different\nrepresentations of the cumulated person hierarchies reveal that adding Wealth\nin the modelling provides a more accurate picture of what the substantial\nnarrative says about this network.\n