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Egalitarian property for power indices

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10.1007/s00355-011-0593-7
 
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hdl:2117/28262

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Freixas Bosch, JosepMés informacióMés informacióMés informació
Marciniak, Dorota
Document typeArticle
Defense date2013
PublisherSpringer
Rights accessOpen Access
Attribution 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution 3.0 Spain
Abstract
In this study, we introduce and examine the Egalitarian property for some power indices on the class of simple games. This property means that after intersecting a game with a symmetric or anonymous game the difference between the values of two comparable players does not increase. We prove that the Shapley–Shubik index, the absolute Banzhaf index, and the Johnston score satisfy this property. We also give counterexamples for Holler, Deegan–Packel, normalized Banzhaf and Johnston indices. We prove that the Egalitarian property is a stronger condition for efficient power indices than the Lorentz domination.
CitationFreixas, J.; Marciniak, D. Egalitarian property for power indices. "Social choice and welfare", 2013, vol. 40, núm. 1, p. 207-227. 
URIhttp://hdl.handle.net/2117/28262
DOI10.1007/s00355-011-0593-7
ISSN0176-1714
Publisher versionhttp://link.springer.com/article/10.1007%2Fs00355-011-0593-7?LI=true
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