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

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Presentation transcript:

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

Shapley – Shubik Power Index DM.13

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.

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

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

Example [4: 3, 2, 1]

Assignment Classwork: pg 68-69 25, 27, 29 Homework: Pg 68-69 26, 28, 30