|Title:||A note on the number of α-pivotal players|
|Authors :||Becker, Johannes Gerd|
|Published in :||Mathematical Methods of Operations Research|
|Publisher / Ed. Institution :||Springer|
|License (according to publishing contract) :||Licence according to publishing contract|
|Type of review:||Peer review (Publication)|
|Subject (DDC) :||500: Natural sciences and 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.|
|Departement:||School of Management and Law|
|Publication type:||Article in scientific Journal|
|Appears in Collections:||Publikationen School of Management and Law|
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