Question

The fraternity is electing a school president and there are four candidates: Kim (K), Selena (S), Carl (C), and Princess (P). The voter preferences are:

(CKPS)	(CKSP)	(PKSC)	(SKPC)
45	30	35	45

Does this violate the Condorcet Criterion and why?

Answer 1

C is preferred by 45+30=75 voters

K is preferred by 0 voters

P is preferred by 35 voters and S by 45 voters

Points received by C:

45 x 330 x 3 35 x 0+45 x 0 225

Points received by K:

45 x 230x 2 35 x 2 + 45 x 2 310

Already based on this incomplete calculation we can say that C is not the winner as candidate K already has more points than C. This means the Condorcet Criterion is violated as the candidate with the most number of 1st preferences (C) is not the eventual winner here.