| Publikationstyp: | Beitrag in wissenschaftlicher Zeitschrift |
| Art der Begutachtung: | Peer review (Publikation) |
| Titel: | A note on the number of α-pivotal players |
| Autor/-in: | Becker, Johannes Gerd |
| DOI: | 10.1287/moor.1110.0523 |
| Erschienen in: | Mathematical Methods of Operations Research |
| Band(Heft): | 37 |
| Heft: | 1 |
| Seite(n): | 196 |
| Seiten bis: | 200 |
| Erscheinungsdatum: | 2012 |
| Verlag / Hrsg. Institution: | Springer |
| ISSN: | 1432-2994 1432-5217 |
| Sprache: | Englisch |
| Fachgebiet (DDC): | 510: Mathematik 658.4: Leitendes Management |
| Zusammenfassung: | 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 |
| Volltext Version: | Publizierte Version |
| Lizenz (gemäss Verlagsvertrag): | Lizenz gemäss Verlagsvertrag |
| Departement: | School of Management and Law |
| Enthalten in den Sammlungen: | 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.
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