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On Credible Coalitional Deviations by Prudent Players



In this paper we first explore the predictive power of the solution notion called conservative stable standard of behaviour (CSSB), introduced by Greenberg (1990) in environments with farsighted players (as modelled in Xue (1998)) as intuitively it is quite nice. Unfortunately, we find that CSSB has a number of undesirable properties. Therefore, we introduce a refinement of this which we call conservative stable weak predictor. We explore some existence properties of this new solution.

Suggested Citation

  • A Bhattacharya & A Ziad, "undated". "On Credible Coalitional Deviations by Prudent Players," Discussion Papers 09/33, Department of Economics, University of York.
  • Handle: RePEc:yor:yorken:09/33

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    References listed on IDEAS

    1. J. J. Herings & A. Mauleon & V. Vannetelbosch, 2000. "Social Rationalizability," THEMA Working Papers 2000-36, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
    3. Bhattacharya, Anindya, 2002. "Coalitional stability with a credibility constraint," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 27-44, January.
    4. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650, March.
    5. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    6. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent J., 2004. "Rationalizability for social environments," Games and Economic Behavior, Elsevier, vol. 49(1), pages 135-156, October.
    7. Ana Mauleon & Vincent Vannetelbosch, 2004. "Farsightedness and Cautiousness in Coalition Formation Games with Positive Spillovers," Theory and Decision, Springer, vol. 56(3), pages 291-324, May.
    8. P. Jean-Jacques Herings & Ana Mauleon & Vincent Vannetelbosch, 2010. "Coalition Formation among Farsighted Agents," Games, MDPI, Open Access Journal, vol. 1(3), pages 1-13, September.
    9. Xue, Licun, 1997. "Nonemptiness of the Largest Consistent Set," Journal of Economic Theory, Elsevier, vol. 73(2), pages 453-459, April.
    10. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
    11. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    12. Greenberg, Joseph & Monderer, Dov & Shitovitz, Benyamin, 1996. "Multistage Situations," Econometrica, Econometric Society, vol. 64(6), pages 1415-1437, November.
    13. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
    14. Rubinstein, Ariel, 1980. "Stability of decision systems under majority rule," Journal of Economic Theory, Elsevier, vol. 23(2), pages 150-159, October.
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    Cited by:

    1. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications, Elsevier.

    More about this item


    Coalitions; stable behaviour; perfect foresight;

    JEL classification:

    • 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


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