Achievable Hierarchies In Voting Games
AbstractPrevious work by Diffo Lambo and Moulen [Theory and Decision 53, 313â€“325 (2002)] and Felsenthal and Machover [The Measurement of Voting Power, Edward Elgar Publishing Limited (1998)], shows that all swap preserving measures of voting power are ordinally equivalent on any swap robust simple voting game. Swap preserving measures include the Banzhaf, the Shapleyâ€“Shubik and other commonly used measures of a priori voting power. In this paper, we completely characterize the achievable hierarchies for any such measure on a swap robust simple voting game. Each possible hierarchy can be induced by a weighted voting game and we provide a constructive proof of this result. In particular, the strict hierarchy is always achievable as long as there are at least five players. Copyright Springer 2006
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Bibliographic InfoArticle provided by Springer in its journal Theory and Decision.
Volume (Year): 61 (2006)
Issue (Month): 4 (December)
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Web page: http://www.springerlink.com/link.asp?id=100341
desirability relation; ordinal equivalence; power indices; swap robust; voting games;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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