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A Characterization of Farsightedly Stable Networks

Author

Listed:
  • Gilles Grandjean

    (CORE, Université catholique de Louvain, 34 voie du Roman Pays, 1348 Louvain-la-Neuve, Belgium)

  • Ana Mauleon

    (FNRS and CEREC, Facultés universitaires Saint-Louis, 43 Boulevard du Jardin Botanique, 1000 Brussels, Belgium
    FNRS and CORE, Université catholique de Louvain, 34 voie du Roman Pays, 1348 Louvain-la-Neuve, Belgium)

  • Vincent Vannetelbosch

    (FNRS and CORE, Université catholique de Louvain, 34 voie du Roman Pays, 1348 Louvain-la-Neuve, Belgium)

Abstract

We study the stability of social and economic networks when players are farsighted. We first provide an algorithm that characterizes the unique pairwise and groupwise farsightedly stable set of networks under the componentwise egalitarian allocation rule. We then show that this set coincides with the unique groupwise myopically stable set of networks but not with the unique pairwise myopically stable set of networks. We conclude that, if groupwise deviations are allowed then whether players are farsighted or myopic does not matter; if players are farsighted then whether players are allowed to deviate in pairs only or in groups does not matter.

Suggested Citation

  • Gilles Grandjean & Ana Mauleon & Vincent Vannetelbosch, 2010. "A Characterization of Farsightedly Stable Networks," Games, MDPI, vol. 1(3), pages 1-16, July.
    • Handle: RePEc:gam:jgames:v:1:y:2010:i:3:p:226-241:d:9053
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    Cited by:

    1. Polanski Arnold & Cardona Daniel, 2012. "Multilevel Mediation in Symmetric Trees," Review of Network Economics, De Gruyter, vol. 11(3), pages 1-23, September.

    More about this item

    Keywords

    farsighted players; pairwise deviations; groupwise deviations;
    All these keywords.

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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