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| 1 . |
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Questions 1 through 8 refer to an election with four candidates (A, B, C, and D), and with the following preference schedule:
| Number of voters | 9 | 7 | 4 | 2 | | 1st choice | A | D | B | C | | 2nd choice | B | C | D | B | | 3rd choice | C | B | C | D | | 4th choice | D | A | A | A |
How many people voted in this election?
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| 2 . |
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Using the plurality method, which candidate wins the election?
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| 3 . |
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Using the Borda count method, which candidate wins the election?
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| 4 . |
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Using the plurality-with-elimination method, which candidate wins the election?
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| 5 . |
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Using the extended plurality-with-elimination ranking method, which candidate comes in second?
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| 6 . |
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Using the recursive plurality-with-elimination ranking method, which candidate comes in second?
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| 7 . |
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Using the recursive plurality ranking method, which candidate comes in third?
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| 8 . |
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Using the Borda count method, which candidate wins the election if candidate B drops out of the race?
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| 9 . |
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In a round robin tournament, every player plays against every other player. If 12 players are entered in a round robin golf tournament, how many matches will be played?
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| 10 . |
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4 + 8 + 12 + ... + 396 + 400 =
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| 11 . |
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“If choice X is a winner of an election and, in a reelection, the only changes in the ballots are changes that only favor X, then X should remain a winner of the election.” This fairness criterion is called the
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| 12 . |
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An election is held among 5 candidates (A, B, C, D and E) using the Borda count method. There are 30 voters. If candidate A received 93 points, candidate B received 87 points, candidate C received 48 points, and candidates D and E tied, how many points did candidates D and E each receive?
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| 13 . |
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An election is held among seven candidates (A, B, C, D, E, F and G). There are 7,000 voters. Using the method of pairwise comparisons, A, B, and C win 3 pairwise comparisons each. D, E, and F each win 2 pairwise comparisons, and G wins all the rest. In this election
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| 14 . |
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An election involving 7 candidates and 20 voters is held and the results of the election are to be determined using the Borda count method. Assuming there isn't a tie for first place, the minimum number of points a winning candidate can receive is
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| 15 . |
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Arrow’s Impossibility Theorem implies
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Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.
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