Consider a committee consisting of four 4-vote voters and four 1-vote voters. Assume the majority needed is 13 votes. (a
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Consider a committee consisting of four 4-vote voters and four 1-vote voters. Assume the majority needed is 13 votes. (a
Consider a committee consisting of four 4-vote voters and four 1-vote voters. Assume the majority needed is 13 votes. (a) Calculate the Banzhaf power indices for the 1-vote voters and the 4-vote voters. Justify your answer in detail. [14] (b) Assume the 4-vote voters are representatives of towns with 40,000 inhabitants each, and the 1-vote voters are representatives of towns with 10,000 inhabitants each. Do you think that a mathematician living in a 10,000 people town would consider the voting system fair? Write a few sentences to explain your answer. [4]
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