1. Difficult: How "fair" is determined by the Borda method. i.e. what if the weight that people want some candidates is not distributed evenly? If they want a canditate a total of 1 = %100, then a possible Borda vote could represent ABCD as(3/6,1/3,1/6,0) but what if the candidate wants ABCD to the tune of (3/4,3/8,1/8) or some other vector?
2. Interesting: Mathematics of Voting by Donald Saari was the best lecture I have been to in a long time!! Take-home message was: 70% of the time our voting method actually determines the elected candidate, rather than being elected by the "people"!
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