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Unformatted text preview: 12. Rank the candidates using extended Borda count method 13. Rank the candidates using extended pluralitywithelimination method 14. Rank the candidates using extended pairwise comparison method. (OVER) Consider the weighted voting system [ 5; 3, 2, 1, 1 ]. 1. What is the weight of the coalition formed by P 1 and P 3 ? 2. Which players are critical in the coalition { P 1 , P 2 , P 3 } ? 3. Which players are critical in the coalition { P 1 , P 3 , P 4 } ? 4. Write down all winning coalitions. 5. Find the Banzhaf power distribution of this weighted voting system. Consider the weighted voting system [ 8; 7, 6, 2 ] 6. Write down all sequential coalitions involving all three players. 7. In each of these coalitions, underling the pivotal player. 8. Find the ShapleyShubik power distribution of this weighted voting system. Consider the weighted voting system [ 6; 4, 3, 2, 1 ]. 9. Find the ShapleyShubik power distribution of this weighted voting system....
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 Spring '08
 SOLFIELL

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