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

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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.

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Authors and Affiliations

  1. Departamento de Estadística e I.O. III. Escuela Universitaria de Estadística, Universidad Complutense de Madrid, Av Puerta de Hierro s/n 28040, Madrid, Spain

    Daniel Gómez, Enrique González–Arangüena, Conrado Manuel & Mónica del Pozo

  2. Department of Mathematics, Naval Postgraduate School, Monterey, USA

    Guillermo Owen

  3. Departamento de Economía Cuantitativa, Facultad de Ciencias Económicas y Empresariales, Universidad Autónoma de Madrid, 28049 Cantoblanco, Madrid, Spain

    Martha Saboyá

Authors
  1. Daniel Gómez
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  2. Enrique González–Arangüena
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  3. Conrado Manuel
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  4. Guillermo Owen
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  5. Mónica del Pozo
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  6. Martha Saboyá
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Correspondence to Daniel Gómez.

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Gómez, D., González–Arangüena, E., Manuel, C. et al. The cohesiveness of subgroups in social networks: A view from game theory. Ann Oper Res 158, 33–46 (2008). https://doi.org/10.1007/s10479-007-0247-4

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  • DOI: https://doi.org/10.1007/s10479-007-0247-4

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