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Measuring power on a theater guild. The Theater Guild consists of (P) erformers, (T) echnicians, and (S) upport staff. Representation on the guild is proportional to the number in each group, and the representatives of each group vote in a bloc. A simple majority is required to pass a resolution. There are five performers, four technicians, and two members of the support staff on the guild.
a. List all permutations of
b. Determine the pivotal voter in each permutation of
c. Find the Shapley-Shubik index for each voter in this system.
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Mathematics All Around (6th Edition)
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