A social capital index

Enrique González‐Arangüena; Anna Khmelnitskaya; Conrado Manuel; Mónica del Pozo

doi:10.1063/1.3637017

A social capital index

Enrique González‐Arangüena, Anna Khmelnitskaya, Conrado Manuel, Mónica del Pozo

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

Abstract

We define an index of social capital using game‐theoretical concepts. We assume that interests of individuals are presented by means of a cooperative game which take into account possible different players abilities whereas the network of relations is modeled by a graph. The social capital of each actor is then measured as the difference between his Myerson value and his Shapley value.

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics, ICNAAM 2011
Subtitle of host publication	International Conference on Numerical Analysis and Applied Mathematics
Editors	Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi
Publisher	AIP
Pages	2041-2043
Number of pages	3
ISBN (Print)	978-0-7354-0956-9
DOIs	https://doi.org/10.1063/1.3637017
Publication status	Published - 2011
Externally published	Yes
Event	9th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece Duration: 19 Sep 2011 → 25 Sep 2011 Conference number: 9

Publication series

Name	AIP Conference Proceedings
Publisher	AIP
Volume	1389

Conference

Conference	9th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2011
Abbreviated title	ICNAAM
Country	Greece
City	Halkidiki
Period	19/09/11 → 25/09/11

Keywords

Social capital
Centrality
TU game
Communication structure
Shapley value
Myerson value

Access to Document

10.1063/1.3637017

Cite this

González‐Arangüena, E., Khmelnitskaya, A., Manuel, C., & del Pozo, M. (2011). A social capital index. In T. E. Simos, G. Psihoyios, C. Tsitouras, & Z. Anastassi (Eds.), Numerical Analysis and Applied Mathematics, ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics (pp. 2041-2043). (AIP Conference Proceedings; Vol. 1389). AIP. https://doi.org/10.1063/1.3637017

González‐Arangüena, Enrique ; Khmelnitskaya, Anna ; Manuel, Conrado ; del Pozo, Mónica. / A social capital index. Numerical Analysis and Applied Mathematics, ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. editor / Theodore E. Simos ; George Psihoyios ; Ch. Tsitouras ; Zacharias Anastassi. AIP, 2011. pp. 2041-2043 (AIP Conference Proceedings).

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abstract = "We define an index of social capital using game‐theoretical concepts. We assume that interests of individuals are presented by means of a cooperative game which take into account possible different players abilities whereas the network of relations is modeled by a graph. The social capital of each actor is then measured as the difference between his Myerson value and his Shapley value.",

keywords = "Social capital, Centrality, TU game, Communication structure, Shapley value, Myerson value",

author = "Enrique Gonz{\'a}lez‐Arang{\"u}ena and Anna Khmelnitskaya and Conrado Manuel and {del Pozo}, M{\'o}nica",

year = "2011",

doi = "10.1063/1.3637017",

language = "English",

isbn = "978-0-7354-0956-9",

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editor = "Simos, {Theodore E.} and George Psihoyios and Ch. Tsitouras and Zacharias Anastassi",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011",

note = "9th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2011, ICNAAM ; Conference date: 19-09-2011 Through 25-09-2011",

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González‐Arangüena, E, Khmelnitskaya, A, Manuel, C & del Pozo, M 2011, A social capital index. in TE Simos, G Psihoyios, C Tsitouras & Z Anastassi (eds), Numerical Analysis and Applied Mathematics, ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, vol. 1389, AIP, pp. 2041-2043, 9th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2011, Halkidiki, Greece, 19/09/11. https://doi.org/10.1063/1.3637017

A social capital index. / González‐Arangüena, Enrique; Khmelnitskaya, Anna; Manuel, Conrado; del Pozo, Mónica.

Numerical Analysis and Applied Mathematics, ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. ed. / Theodore E. Simos; George Psihoyios; Ch. Tsitouras; Zacharias Anastassi. AIP, 2011. p. 2041-2043 (AIP Conference Proceedings; Vol. 1389).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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KW - Centrality

KW - TU game

KW - Communication structure

KW - Shapley value

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ER -

A social capital index

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