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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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    Cited by:

    1. Kimya, Mert, 2020. "Equilibrium coalitional behavior," Theoretical Economics, Econometric Society, vol. 15(2), May.
    2. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.

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    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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