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one of these is exercise 11 and the other is the textbook answer to exercise 11. 32. Show that the voting system described in Exercise

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one of these is exercise 11 and the other is the textbook answer to exercise 11.
image text in transcribed
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32. Show that the voting system described in Exercise 11 is equivalent to the weihted voting system [4:3,1,1,1,1] and determine its Banzhaf power index. A five-member committee has a voting system in which the chairman, Don, can pass or block any motion he supports or opposes, provided at least one other member is on his side. Describe the permutations in which Don would be the pivotal voter and determine the Shapley-Shubik power index of each voter. Don would be pivot in any of the three middle positions of a permutation. His Shapley-Shubik power index is therefore 53. The other four voters share the remaining 52 of the power; their indices are 101 each

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