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On credible coalitional deviations by prudent players

Author

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  • Abderrahmane Ziad

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • Anindya Bhattacharya

Abstract

In this paper we first explore the predictive power of the solution notion called conservative stable standard of behaviour (CSSB), introduced by Greenberg (The theory of social situations, 1990 ), in environments with farsighted players (as modelled in Xue, Econ Theory 11:603-627, 1998 ) as intuitively it is quite nice. Unfortunately, we find that CSSB has a number of undesirable properties: most importantly, it makes vacuous predictions for most natural social environments. Therefore, we introduce an intuitive refinement of this solution which we call conservative stable weak predictor. In settings of proper voting games, we explore some existence properties of this new solution and also show that it may not be unique. However, unfortunately, this refinement may also lead to non-intuitive vacuous predictions.

Suggested Citation

  • Abderrahmane Ziad & Anindya Bhattacharya, 2012. "On credible coalitional deviations by prudent players," Post-Print halshs-00687956, HAL.
    • Handle: RePEc:hal:journl:halshs-00687956
    DOI: 10.1007/s00355-011-0647-x
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    References listed on IDEAS

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    1. Herings, P.J.J. & Mauleon, A. & Vannetelbosch, V., 2000. "Social rationalizability," Research Memorandum 017, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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    3. Bhattacharya, Anindya, 2002. "Coalitional stability with a credibility constraint," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 27-44, January.
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    9. P. Jean-Jacques Herings & Ana Mauleon & Vincent Vannetelbosch, 2010. "Coalition Formation among Farsighted Agents," Games, MDPI, vol. 1(3), pages 1-13, September.
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    2. Debraj Ray & Rajiv Vohra, 2013. "Coalition Formation," Working Papers 2013-1, Brown University, Department of Economics.
    3. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.

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    More about this item

    Keywords

    conservative stable standard of behaviour; farsighted players; natural social environments;
    All these keywords.

    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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