A note on the number of α-pivotal players

Becker, Johannes Gerd

doi:10.1287/moor.1110.0523

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	A note on the number of α-pivotal players
Authors:	Becker, Johannes Gerd
DOI:	10.1287/moor.1110.0523
Published in:	Mathematical Methods of Operations Research
Volume(Issue):	37
Issue:	1
Page(s):	196
Pages to:	200
Issue Date:	2012
Publisher / Ed. Institution:	Springer
ISSN:	1432-2994 1432-5217
Language:	English
Subject (DDC):	510: Mathematics 658.4: Executive Management
Abstract:	We show that bounds like those of Al-Najjar and Smorodinsky [Al-Najjar, N. I., R. Smorodinsky. 2000. Pivotal players and the characterization of influence. J. Econom. Theory 92(2) 318–342] as well as of Gradwohl et al. [Gradwohl, R., O. Reingold, A. Yadin, A. Yehudayoff. 2009. Players' effects under limited independence. Math. Oper. Res. 34(4) 971–980] on the number of a-pivotal agents, derived by a combinatorial approach, can be obtained by decomposition of variance, i.e., an orthogonality argument as used in Appendix 1 of Mailath and Postlewaite [Mailath, G. J., A. Postlewaite. 1990. Asymmetric information bargaining problems with many agents. Rev. Econom. Stud. 57(3) 351–367]. All these bounds have a similar asymptotic behavior, 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.
URI:	https://digitalcollection.zhaw.ch/handle/11475/8503
Fulltext version:	Published version
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Management and Law
Appears in collections:	Publikationen School of Management and Law

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Becker, J. G. (2012). A note on the number of α-pivotal players. Mathematical Methods of Operations Research, 37(1), 196–200. https://doi.org/10.1287/moor.1110.0523

Becker, J.G. (2012) ‘A note on the number of α-pivotal players’, Mathematical Methods of Operations Research, 37(1), pp. 196–200. Available at: https://doi.org/10.1287/moor.1110.0523.

J. G. Becker, “A note on the number of α-pivotal players,” Mathematical Methods of Operations Research, vol. 37, no. 1, pp. 196–200, 2012, doi: 10.1287/moor.1110.0523.

BECKER, Johannes Gerd, 2012. A note on the number of α-pivotal players. Mathematical Methods of Operations Research. 2012. Bd. 37, Nr. 1, S. 196–200. DOI 10.1287/moor.1110.0523

Becker, Johannes Gerd. 2012. “A Note on the Number of α-Pivotal Players.” Mathematical Methods of Operations Research 37 (1): 196–200. https://doi.org/10.1287/moor.1110.0523.

Becker, Johannes Gerd. “A Note on the Number of α-Pivotal Players.” Mathematical Methods of Operations Research, vol. 37, no. 1, 2012, pp. 196–200, https://doi.org/10.1287/moor.1110.0523.