@book{e1bb1cb8e119428daca5ec154b2d728d,
title = "A social capital index",
abstract = "In this paper we propose a social capital measure for individuals belonging to a social network. To do this, we use a game theoretical approach and so we suppose that these individuals are also involved in a cooperative TU-game modelling the economic or social interests that motivate their interactions. We propose as a measure of individual social capital the difference between the Myerson and the Shapley values of actors in the social network and explore the properties of such a measure. This definition is close to our previous measure of centrality (G{\'o}mez et al., 2003) and so in this paper we also study the relation between social capital and centrality, finding that this social capital measure can be considered as a vector magnitude with two additive components: centrality and positional externalities. Finally, several real political examples are used to show the agreement of our conclusions with the reality in these situations.",
keywords = "MSC-91A43, MSC-91A12, Social capital, Centrality, TU game, Myerson value, Shapley value",
author = "Enrique Gonz{\'a}lez-Arang{\"u}ena and Khmelnitskaya, {Anna Borisovna} and Conrado Manuel and {del Pozo}, Monica",
year = "2011",
month = dec,
language = "English",
series = "Memorandum",
publisher = "University of Twente",
number = "1966",
address = "Netherlands",
}