A characterization of farsightedly stable networks
AbstractWe 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.
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Bibliographic InfoPaper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number -2249.
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Note: In : Games, 1(3), 226-241, 2010
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Other versions of this item:
- Gilles Grandjean & Ana Mauleon & Vincent Vannetelbosch, 2010. "A Characterization of Farsightedly Stable Networks," Games, MDPI, Open Access Journal, vol. 1(3), pages 226-241, July.
- 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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