note: On an Axiomatization of the Banzhaf Value without the Additivity Axiom
AbstractWe prove that the Banzhaf value is a unique symmetric solution having the dummy player property, the marginal contribution property introduced by Young (1985) and satisfying a very natural reduction axiom of Lehrer (1988).
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Bibliographic InfoArticle provided by Springer in its journal International Journal of Game Theory.
Volume (Year): 26 (1997)
Issue (Month): 1 ()
Note: Received January 1996 Revised version July 1996
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- Gerard van der Laan & René van den Brink, 2002.
"A Banzhaf share function for cooperative games in coalition structure,"
Theory and Decision,
Springer, vol. 53(1), pages 61-86, August.
- Laan, G. van der & Brink, J.R. van den, 1998. "A Banzhaf share function for cooperative games in coalition structure," Discussion Paper 1998-66, Tilburg University, Center for Economic Research.
- Federico Valenciano & Annick Laruelle, 2000. "- Shapley-Shubik And Banzhaf Indices Revisited," Working Papers. Serie AD 2000-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Barua, Rana & Chakravarty, Satya R. & Roy, Sonali & Sarka, Palash, 2007.
"A Characterization and Some Properties of the Banzhaf-Coleman-Dubey-Shapley Sensitivity Index,"
Staff General Research Papers
12807, Iowa State University, Department of Economics.
- Barua, Rana & Chakravarty, Satya R. & Roy, Sonali & Sarkar, Palash, 2004. "A characterization and some properties of the Banzhaf-Coleman-Dubey-Shapley sensitivity index," Games and Economic Behavior, Elsevier, vol. 49(1), pages 31-48, October.
- André Casajus, 2011. "Marginality, differential marginality, and the Banzhaf value," Theory and Decision, Springer, vol. 71(3), pages 365-372, September.
- Barua, Rana & Chakravarty, Sanya R. & Roy, Sonali, 2007.
"On the Coleman Indices of Voting Power,"
Staff General Research Papers
12810, Iowa State University, Department of Economics.
- Brink, J.R. van den & Laan, G. van der, 2001.
"A Class of Consistent Share Functions For Games in Coalition Structure,"
2001-33, Tilburg University, Center for Economic Research.
- van den Brink, Rene & van der Laan, Gerard, 2005. "A class of consistent share functions for games in coalition structure," Games and Economic Behavior, Elsevier, vol. 51(1), pages 193-212, April.
- René van den Brink & Gerard van der Laan, 2001. "A Class of Consistent Share Functions for Games in Coalition Structure," Tinbergen Institute Discussion Papers 01-044/1, Tinbergen Institute.
- Yan-An Hwang & Yu-Hsien Liao, 2010. "Consistency and dynamic approach of indexes," Social Choice and Welfare, Springer, vol. 34(4), pages 679-694, April.
- Marcin Malawski, 2002. "Equal treatment, symmetry and Banzhaf value axiomatizations," International Journal of Game Theory, Springer, vol. 31(1), pages 47-67.
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