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| Topic: |
Science
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| Number of pages / Number of words: |
5 / 1195 |
Essay's paper body
a ranking of A > B > C implies that ?A? is preferred to ?B?, ?B? is preferred to ?C? and, transitively, ?A? is preferred to ?C?):
1. A > B > C
2. A > C > B
3. B > A > C
4. B > C > A
5. C > A > B
6. C > B > A
From this, it is seen that in general, there are there are ?n!? ways a voter could prefer ?n? candidates...
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Now a voting vector is a vector whose components say how much it?s worth to be ranked first, second, third, etc. Each candidate would have a vector whose ith component would be how many times that candidate was ranked ith by a voter. In these elections, the winner is the candidate who has the highest dot product with the voting vector...
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