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

Author

Listed:
  • Daniel Gómez
  • Enrique González–Arangüena
  • Conrado Manuel
  • Guillermo Owen
  • Mónica Pozo
  • Martha Saboyá

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. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Daniel Gómez & Enrique González–Arangüena & Conrado Manuel & Guillermo Owen & Mónica Pozo & Martha Saboyá, 2008. "The cohesiveness of subgroups in social networks: A view from game theory," Annals of Operations Research, Springer, vol. 158(1), pages 33-46, February.
    • Handle: RePEc:spr:annopr:v:158:y:2008:i:1:p:33-46:10.1007/s10479-007-0247-4
    DOI: 10.1007/s10479-007-0247-4
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    References listed on IDEAS

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    1. Federico Echenique & Roland G. Fryer Jr., 2005. "On the Measurement of Segregation," Labor and Demography 0503006, University Library of Munich, Germany.
    2. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    3. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    4. Gomez, Daniel & Gonzalez-Aranguena, Enrique & Manuel, Conrado & Owen, Guillermo & del Pozo, Monica & Tejada, Juan, 2003. "Centrality and power in social networks: a game theoretic approach," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 27-54, August.
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    4. Weihua Liu & Shuqing Wang & DongLei Zhu & Di Wang & Xinran Shen, 2018. "Order allocation of logistics service supply chain with fairness concern and demand updating: model analysis and empirical examination," Annals of Operations Research, Springer, vol. 268(1), pages 177-213, September.

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