On the Number of alpha-Pivotal Players

Johannes Gerd Becker ()
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Johannes Gerd Becker: ETH Zurich, Switzerland

No 11/142, CER-ETH Economics working paper series from CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich

Abstract: 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.

Keywords: alpha-pivotal agent; influence; direct mechanism; decomposition of variance (search for similar items in EconPapers)
JEL-codes: D62 D89 (search for similar items in EconPapers)
Pages: 13 pages
Date: 2011-02
New Economics Papers: this item is included in nep-cis and nep-gth
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Citations: View citations in EconPapers (1)

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