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On credible coalitional deviations by prudent players

  • Anindya Bhattacharya

    ()

  • Abderrahmane Ziad

    ()

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.

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File URL: http://hdl.handle.net/10.1007/s00355-011-0647-x
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Article provided by Springer & The Society for Social Choice and Welfare in its journal Social Choice and Welfare.

Volume (Year): 39 (2012)
Issue (Month): 2 (July)
Pages: 537-552

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Handle: RePEc:spr:sochwe:v:39:y:2012:i:2:p:537-552
DOI: 10.1007/s00355-011-0647-x
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  1. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650, Junio.
  2. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
  3. Herings, P.J.J. & Mauleon, A. & Vannetelbosch, V., 2000. "Social Rationalizability," Discussion Paper 2000-81, Tilburg University, Center for Economic Research.
  4. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
  5. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Xue, Licun, 1997. "Nonemptiness of the Largest Consistent Set," Journal of Economic Theory, Elsevier, vol. 73(2), pages 453-459, April.
  7. 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.
  8. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
  9. Jean-Jacques HERINGS & Ana MAULEON & Vincent J. VANNETELBOSCH, 2001. "Rationalizability for Social Environments," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2001028, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  10. HERINGS, Jean - Jacques & MAULEON, Ana & VANNETELBOSCH, Vincent, 2010. "Coalition formation among farsighted agents," CORE Discussion Papers 2010022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. 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, 05.
  12. Bhattacharya, Anindya, 2002. "Coalitional stability with a credibility constraint," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 27-44, January.
  13. Greenberg, Joseph & Monderer, Dov & Shitovitz, Benyamin, 1996. "Multistage Situations," Econometrica, Econometric Society, vol. 64(6), pages 1415-37, November.
  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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