On the Number of alpha-Pivotal Players
We show that bounds like those of Al-Najjar and Smorodinsky (J. Econ. Theory, 2000) as well as of Gradwohl et al. (Math. Oper. Res., 2009) on the number of alpha-pivotal agents can be obtained by decomposition of variance. All these bounds have a similar asymptotic behaviour, up to constant factors. Our bound is weaker than that of Al-Najjar and Smorodinsky, but we require only pairwise independent—rather than independent—types. Our result strengthens the bound of Gradwohl et al.
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- Gerardi, Dino & Yariv, Leeat, 2008.
"Information acquisition in committees,"
Games and Economic Behavior,
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- Hans Gersbach, 2009. "Democratic Mechanisms," Journal of the European Economic Association, MIT Press, vol. 7(6), pages 1436-1469, December.
- Al-Najjar, Nabil I., 2001. "A reputational model of authority," Journal of Economic Behavior & Organization, Elsevier, vol. 46(2), pages 165-191, October.
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