Events and Meetings of Italian Statistical Society, Statistics and Demography: the Legacy of Corrado Gini

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Assessing heterogeneity in social interactions: the Gini-exposure index
Francesco Andreoli

Last modified: 2015-09-05

Abstract


I study the heterogeneity of social interaction profiles among individuals, a form of social segregation. An interaction profile assigns the probabilities that one individual has to interact with well defined social groups, and it can be inferred, for instance, from observation of social ties through networks data. Heterogeneity is minimal if everybody is associated with the same profile. It is maximal if everybody interacts with only one group. I derive a new multi-group measure, the Gini-Exposure index, to rank all the in-between situations. A characterization based on geometric arguments is proposed. An empirical investigation of interaction patterns of natives and immigrants across Italian municipalities allows to keep track of the evolution of the exposure dimension of segregation in Italy during the last decade.

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