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Author
Ekes Maria (Szkoła Główna Handlowa w Warszawie)
Title
Two types of the Banzhaf-Coleman index in games with a priori unions
Source
Roczniki Kolegium Analiz Ekonomicznych / Szkoła Główna Handlowa, 2006, nr 15, s. 31-45, rys., bibliogr. 6 poz.
Issue title
Metody formalne w teorii gier, teorii wzrostu i ekonomii finansowej
Keyword
Paradoks, Teoria gier
Paradox, Game theory
Note
summ.
Abstract
The paper presented concerns a voting body divided into subsets (parties). We consider the Banzhaf-Coleman index of an individual counted as a product of its index inside the party in the majority voting game and the index of the party in the weighted voting game and the modified Banzhaf-Coleman index of the game with precoalitions. Both indices are not normalised and have probabilistic interpretation. We also examine changes of values of both indices caused by changes in the structure of precoalitions. (original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
The Main Library of the Wroclaw University of Economics
Bibliography
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  1. Albizuri M.J., An Axiomatization of the Modifed Banzhaf-Coleman Index, Discussion Papers, Department of Applied Economics IV Basque Country University, No. 8, 2000.
  2. Felsenthal D.S., Machover M., The Measurement of Voting Power. Theory and Practice, Problems and Paradoxes, Edward Elgar Publishing, Cheltenham, 1998.
  3. Valenciano Laurelle F., On the meaning of Owen-Banzhaf Coalitional value in voting situations, Theory and Decision 56, pp. 113-123, 2004.
  4. Leech D., Leech R., Voting Power and Voting Blocs, Warwick Economic Research Papers, No. 719, 2004.
  5. Owen G., Values of Games with a propri Unions, in Lecture Notes in Economics Mathematical Systems, Essays in Honour of Oskar Morgenstern, eds. R. Henn and O. Moschlin, Springer-Verlag, New York, pp. 76-88, 1977.
  6. Owen R., Modification of the Banzhaf-Coleman Index for Games with a priori Unions, in Power, Voting and Voting Power, ed. M.J.Holler, Physica-Verlag, Wurzburg, pp. 232-238, 1981.
Cited by
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ISSN
1232-4671
Language
eng
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