On the Number of alpha-Pivotal Players
AbstractWe 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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Bibliographic InfoPaper provided by CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich in its series CER-ETH Economics working paper series with number 11/142.
Length: 13 pages
Date of creation: Feb 2011
Date of revision:
alpha-pivotal agent; influence; direct mechanism; decomposition of variance;
Find related papers by JEL classification:
- D62 - Microeconomics - - Welfare Economics - - - Externalities
- D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-02-19 (All new papers)
- NEP-CIS-2011-02-19 (Confederation of Independent States)
- NEP-GTH-2011-02-19 (Game Theory)
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Cowles Foundation Discussion Papers
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