Chapter 11: Weighted Voting Systems The Shapely-Shubik Power Index
{"Image DocumentName": "Chapter 11: Weighted Voting Systems The Shapely-Shubik Power Index", "Image ImageDescription": "The Shapely-Shubik Power Index (developed 1954) The Shapley-Shubik power index of each voter is computed by counting the number of permutations in which he or she is pivotal and then dividing it by the total number of permutations. Lloyd S. Shapley. Martin Shubik. Permutation \u2013 A permutation of voters is an ordering of all the voters in a voting system. Pivotal Voter \u2013 The first voter in a permutation who, when joined by those coming before him or her, would have enough voting weight to win is the pivotal voter in the permutation. Each permutation has exactly one pivotal voter. Factorial \u2013 For a positive whole number n. n! = n \u00d7 (n \u2212 1) \u00d7 (n \u2212 2) \u00d7 \u2026 \u00d7 2 \u00d7 1 (where 0! = 1) 8.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}