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Warm-up Find the Banzaf power index for the following Information: A 35% B 30% C 25% D 10%

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Presentation on theme: "Warm-up Find the Banzaf power index for the following Information: A 35% B 30% C 25% D 10%"— Presentation transcript:

1 Warm-up Find the Banzaf power index for the following Information: A 35% B 30% C 25% D 10%

2 Shapley – Shubik Power Index
DM.13

3 Pivotal voter: add voters to a coalition one at a time, the PIVOTAL VOTER is the first person added to the coalition that makes it a winning coalition.

4 Identify the Pivotal Voter
[5:3, 2, 2, 1] Find the pivotal voter in each coalition: A, B, C, D A, D, C, B D, A, B, C D, C, A, B

5 Shapley-Shubik Index # of times the voter is pivotal in some permutation of the voters _____________________________________ Total # of permutations of the voters

6 Example [4: 3, 2, 1]

7 Assignment Classwork: pg , 27, 29 Homework: Pg , 28, 30


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