Voting Pairwise Comparison.

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Presentation transcript:

Voting Pairwise Comparison

T. Serino Pairwise Comparison

Pairwise Comparison Stay organized! T. Serino Stay organized! Every candidate must face every other candidate head-to-head.

Pairwise Comparison A vs. B 2 2 1 2 B vs. C 2 2 1 2 1 2 B C C A 2 2 B T. Serino A vs. B 2 2 1 2 B vs. C 2 2 1 2 1 2 B C C A 2 2 B C C A + 2 + 2 A B A B + 2 + 1 A B A B 3 4 C A B C 4 3 C A B C Candidate B wins this match-up. (earns 1 point) Candidate B wins this match-up. (earns 1 point) A vs. C 2 2 1 2 Point Totals: A – 1 point B – 2 points C – 0 points B wins! After each head-to-head match-up, count the number of points for each candidate. (A win counts as 1 point, and a tie counts as ½ point. In the next match-up, there will be an election between candidates B and C only. (candidate A does not count in this match-up) In the last match-up, there will be an election between candidates A and C only. (candidate B does not count in this match-up) In the first match-up, there will be an election between candidates A and B only. (candidate C does not count in this match-up) 2 2 B C C A + 2 + 1 A B A B 4 3 C A B C Candidate A wins this match-up. (earns 1 point)

Pairwise Comparison T. Serino Candidate B matched up with each of the other candidates except candidate A; B already faced A in the previous column. Candidate A matched up with each of the other candidates. C vs. D is the only matchup left.

Pairwise Comparison 14 10 4 8 1 14 10 8 4 1 Point Totals: T. Serino 14 10 4 8 1 14 10 8 4 1 Point Totals: A – 0 B – 2 C – 3 D – 1 B wins 1 point 28 9 14 23 B wins 1 point 14 10 8 4 1 14 4 10 8 1 14 10 1 8 4 14 10 8 4 1 25 12 18 19 14 23 14 23 C wins 1 point C wins 1 point C wins 1 point D wins 1 point

T. Serino Pairwise Comparison

T. Serino Pairwise Comparison

athematical M D ecision aking