Please use this identifier to cite or link to this item: https://doi.org/10.1007/s003550100144
Title: A method for evaluating the behavior of power indices in weighted plurality games
Authors: Chua, V.C.H.
Ueng, C.H.
Huang, H.C. 
Issue Date: Jul-2002
Source: Chua, V.C.H., Ueng, C.H., Huang, H.C. (2002-07). A method for evaluating the behavior of power indices in weighted plurality games. Social Choice and Welfare 19 (3) : 665-680. ScholarBank@NUS Repository. https://doi.org/10.1007/s003550100144
Abstract: In this paper, a systematic method to facilitate the comparison of a priori measures of power in an n-player r-candidate (n, r) weighted plurality game is proposed. This method, which exploits the notion of a structure of embedded winning coalitions (SEWC), enables the listing of all power profiles relevant to an (n, r) game under a given index and permits the computation of the probability of occurrence of each of these profiles. The vulnerability of an index to different paradoxes of power can also be systematically studied. For the purpose of illustration, we apply this method to the analysis of four well-known 2-candidate power indices namely the Shapley-Shubik index, the Banzhaf index, the Johnston index and the Deegan-Packel index. In each case, the set of power profiles and the likelihood of occurrence of each of these profiles are enumerated. The superadditivity property of these indices is also studied.
Source Title: Social Choice and Welfare
URI: http://scholarbank.nus.edu.sg/handle/10635/54355
ISSN: 01761714
DOI: 10.1007/s003550100144
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