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	American Institute of Physics
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 Sept 2011 → 25 Sept 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/Territory	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). American Institute of Physics. https://doi.org/10.1063/1.3637017

González‐Arangüena, Enrique ; Khmelnitskaya, Anna ; Manuel, Conrado et al. / 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. American Institute of Physics, 2011. pp. 2041-2043 (AIP Conference Proceedings).

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title = "A social capital index",

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",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

pages = "2041--2043",

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

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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, American Institute of Physics, 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 et al.
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. American Institute of Physics, 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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AU - González‐Arangüena, Enrique

AU - Khmelnitskaya, Anna

AU - Manuel, Conrado

AU - del Pozo, Mónica

N1 - Conference code: 9

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Social capital

KW - Centrality

KW - TU game

KW - Communication structure

KW - Shapley value

KW - Myerson value

UR - https://www.scopus.com/pages/publications/81855205127

U2 - 10.1063/1.3637017

DO - 10.1063/1.3637017

M3 - Conference contribution

SN - 978-0-7354-0956-9

T3 - AIP Conference Proceedings

SP - 2041

EP - 2043

BT - Numerical Analysis and Applied Mathematics, ICNAAM 2011

A2 - Simos, Theodore E.

A2 - Psihoyios, George

A2 - Tsitouras, Ch.

A2 - Anastassi, Zacharias

PB - American Institute of Physics

T2 - 9th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2011

Y2 - 19 September 2011 through 25 September 2011

ER -

González‐Arangüena E, Khmelnitskaya A, Manuel C, del Pozo M. A social capital index. In Simos TE, Psihoyios G, Tsitouras C, Anastassi Z, editors, Numerical Analysis and Applied Mathematics, ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. American Institute of Physics. 2011. p. 2041-2043. (AIP Conference Proceedings). doi: 10.1063/1.3637017

A social capital index

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A social capital index

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