IDEAS home Printed from https://ideas.repec.org/p/cte/wsrepe/ws142215.html
   My bibliography  Save this paper

A game theoretic approach to group centrality

Author

Listed:
  • Tejada, Juan
  • Flores Díaz, Ramón Jesús
  • Molina Ferragut, Elisenda

Abstract

This paper is centered in the valuation of the centrality of groups following aproblem-specific approach (Friedkin, 1991). Assuming a TU-game that reflects theinterests which motivate the interactions among individuals in a network, we extend thegame theoretic centrality measure of Gomez et al. (2003) to the case of groups, anddefine the game theoretic group centrality of a group as the variation of its value orpower due to their social relations. We rely on the Shapley group value (Flores et al.,2014) for measuring the value of a group in a game without any restriction, and weintroduce the Myerson group value in order to measure the value when the socialstructure is considered.

Suggested Citation

  • Tejada, Juan & Flores Díaz, Ramón Jesús & Molina Ferragut, Elisenda, 2014. "A game theoretic approach to group centrality," DES - Working Papers. Statistics and Econometrics. WS ws142215, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:ws142215
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/rest/api/core/bitstreams/026285d0-c8c9-4cdc-b208-6b469bad9c13/content
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    2. Flores Díaz, Ramón Jesús & Molina, Elisenda & Tejada, Juan, 2013. "The Shapley group value," DES - Working Papers. Statistics and Econometrics. WS ws133430, Universidad Carlos III de Madrid. Departamento de Estadística.
    3. 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.
    4. Stephen P. Borgatti, 2006. "Identifying sets of key players in a social network," Computational and Mathematical Organization Theory, Springer, vol. 12(1), pages 21-34, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Heyes, Anthony & Kapur, Sandeep, 2009. "Enforcement missions: Targets vs budgets," Journal of Environmental Economics and Management, Elsevier, vol. 58(2), pages 129-140, September.
    2. Kazuhiro Ohnishi, 2011. "Two-Stage Quantity-Setting Games and Tacit Collusion," Finnish Economic Papers, Finnish Economic Association, vol. 24(1), pages 64-77, Spring.
    3. Juan‐Pablo Montero & Juan Ignacio Guzman, 2010. "Output‐Expanding Collusion In The Presence Of A Competitive Fringe," Journal of Industrial Economics, Wiley Blackwell, vol. 58(1), pages 106-126, March.
    4. Rodney Beard, 2015. "N-Firm Oligopoly With General Iso-Elastic Demand," Bulletin of Economic Research, Wiley Blackwell, vol. 67(4), pages 336-345, October.
    5. Michael Cohen & Rui Huang, 2012. "Corporate Social Responsibility for Kids’ Sake: A Dynamic Model of Firm Participation," Working Papers 12, University of Connecticut, Department of Agricultural and Resource Economics, Charles J. Zwick Center for Food and Resource Policy.
    6. Matsui, Kenji, 2020. "Optimal bargaining timing of a wholesale price for a manufacturer with a retailer in a dual-channel supply chain," European Journal of Operational Research, Elsevier, vol. 287(1), pages 225-236.
    7. María Fernanda Viecens, 2009. "Compatibility with Firm Dominance," Working Papers 2009-12, FEDEA.
    8. Frank Stähler & Thorsten Upmann, 2008. "Market Entry Regulation and International Competition," Review of International Economics, Wiley Blackwell, vol. 16(4), pages 611-626, September.
    9. Marc Escrihuela-Villar & Ramon Faulí-Oller, 2008. "Mergers in asymmetric Stackelberg markets," Spanish Economic Review, Springer;Spanish Economic Association, vol. 10(4), pages 279-288, December.
    10. L. Lambertini & G. Rossini, 1995. "Are Labor-Managed Firms Really Able to Survive Competition With Profit-Maximizing Firms?," Working Papers 222, Dipartimento Scienze Economiche, Universita' di Bologna.
    11. Bloch, Francis & Ferrer, Helene, 2001. "Strategic complements and substitutes in bilateral oligopolies," Economics Letters, Elsevier, vol. 70(1), pages 83-87, January.
    12. Mário Alexandre Patrício Martins da Silva, 2016. "R&D investments and spillovers under endogenous technological opportunity," FEP Working Papers 571, Universidade do Porto, Faculdade de Economia do Porto.
    13. Ganesh Iyer & T. Tony Ke, 2022. "Competitive Algorithmic Targeting and Model Selection," NBER Chapters, in: Economics of Artificial Intelligence, National Bureau of Economic Research, Inc.
    14. Bletschacher, Georg & Klodt, Henning, 1992. "Strategische Handels- und Industriepolitik: theoretische Grundlagen, Branchenanalysen und wettbewerbspolitische Implikationen," Open Access Publications from Kiel Institute for the World Economy 456, Kiel Institute for the World Economy (IfW Kiel).
    15. Li, Hongyan & Tesfatsion, Leigh, 2012. "Co-learning patterns as emergent market phenomena: An electricity market illustration," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 395-419.
    16. Schulz, Bastian, 2024. "Labor market dynamics with sorting," Journal of Economic Dynamics and Control, Elsevier, vol. 158(C).
    17. Özgür Yýlmaz, 2012. "The Strategic Advantage of Inequality Averse Preferences," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 26(2), pages 83-91.
    18. René van den Brink & Agnieszka Rusinowska, 2023. "Degree Centrality, von Neumann-Morgenstern Expected Utility and Externalities in Networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-04188289, HAL.
    19. Andreas HaufLer & Guttorm Schjelderup & Frank Stähler, 2005. "Barriers to Trade and Imperfect Competition: The Choice of Commodity Tax Base," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 12(3), pages 281-300, May.
    20. Marco Marini & Alberto Zevi, 2011. "‘Just one of us’: consumers playing oligopoly in mixed markets," Journal of Economics, Springer, vol. 104(3), pages 239-263, November.

    More about this item

    Keywords

    Centrality;

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cte:wsrepe:ws142215. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ana Poveda (email available below). General contact details of provider: http://portal.uc3m.es/portal/page/portal/dpto_estadistica .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.