A social capital index

Enrique González-Arangüena, Anna Borisovna Khmelnitskaya, Conrado Manuel, Monica del Pozo

Research output: Book/ReportReport

  • 1 Citations

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 (Gómez 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.
LanguageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages20
StatePublished - Dec 2011

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherUniversity of Twente, Department of Applied Mathematics
No.1966
ISSN (Print)1874-4850
ISSN (Electronic)1874-4850

Keywords

  • Centrality
  • EWI-21050
  • Social Capital
  • METIS-281663
  • IR-78979
  • MSC-91A43
  • MSC-91A12
  • TU game
  • Myerson value
  • Shapley value

Cite this

González-Arangüena, E., Khmelnitskaya, A. B., Manuel, C., & del Pozo, M. (2011). A social capital index. (Memorandum / Department of Applied Mathematics; No. 1966). Enschede: University of Twente, Department of Applied Mathematics.
González-Arangüena, Enrique ; Khmelnitskaya, Anna Borisovna ; Manuel, Conrado ; del Pozo, Monica. / A social capital index. Enschede : University of Twente, Department of Applied Mathematics, 2011. 20 p. (Memorandum / Department of Applied Mathematics; 1966).
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González-Arangüena, E, Khmelnitskaya, AB, Manuel, C & del Pozo, M 2011, A social capital index. Memorandum / Department of Applied Mathematics, no. 1966, University of Twente, Department of Applied Mathematics, Enschede.

A social capital index. / González-Arangüena, Enrique; Khmelnitskaya, Anna Borisovna; Manuel, Conrado; del Pozo, Monica.

Enschede : University of Twente, Department of Applied Mathematics, 2011. 20 p. (Memorandum / Department of Applied Mathematics; No. 1966).

Research output: Book/ReportReport

TY - BOOK

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AB - 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 (Gómez 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.

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M3 - Report

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González-Arangüena E, Khmelnitskaya AB, Manuel C, del Pozo M. A social capital index. Enschede: University of Twente, Department of Applied Mathematics, 2011. 20 p. (Memorandum / Department of Applied Mathematics; 1966).