The cohesiveness of subgroups in social networks: a view from game theory

Gómez González, Daniel; González Arangüena, Enrique; Manuel García, Conrado Miguel; Owen, Guillermo; Pozo Juan, Mónica; Saboyá, Martha

The cohesiveness of subgroups in social networks: a view from game theory

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s10479-007-0247-4.pdf (361.62 KB)

Official URL

http://doi.org/10.1007/S10479-007-0247-4

Publication date

2007

Authors

Gómez González, Daniel

González Arangüena, Enrique

Manuel García, Conrado Miguel

Owen, Guillermo

Pozo Juan, Mónica

Saboyá, Martha

Editors

Boros, Endre

Publisher

Springer

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URI

https://hdl.handle.net/20.500.14352/102270

Citation

Gómez, D. et al. (2008) «The cohesiveness of subgroups in social networks: A view from game theory», en Annals of Operations Research. Kluwer Academic Publishers, pp. 33-46. doi:10.1007/S10479-007-0247-4

Abstract

A family of cohesiveness measures, based on game theoretical concepts, is proposed for subgroups in social networks. Given a communication situation, consisting of a coalitional game and a graph, both defined on the same set of players-nodes, cohesiveness of a subset is defined as the proportion of their worth that the players in subset retain, when the originally deterministic (restricted) graph becomes a probabilistic one (in a specific manner). Conditions on the game are given to reach some desirable properties.