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solve the following Consider the preference profile shown below: 36 29 20 1 5 A D B D B C C B C A A

solve the following

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Consider the preference profile shown below: 36 29 20 1 5 A D B D B C C B C A A A D B D C In the questions that follow, answer T for any kind of tie and answer N for "there is none". Show your work on the answer sheet you will upload. 1. Who wins the plurality method? 2. Who is the Condorcet candidate? 3. Who wins the Vote For Two method? 4. Who wins the Copeland method? 5. Who wins the Coombs method? 6. Who is the AntiPareto candidate? 7. "Bucklin voting" was used in various places in the US in the 19th century. Start by counting the voters to determine the number q of votes needed for a simple majority. If a candidate gets q or more first place votes they win. OthenNise, all the second place votes are added in, and again, ifa candidate gets q or more rst and second place votes they win. This until there is a winner (or winners). Who wins Bucklin voting? 8. "Nanson's method" works in rounds. In each round compute the Borda score and drop the candidate with the lowest Borda score. The last remaining candidate wins. Who wins by Nanson's method

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