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) = 45 (CKSP) = 30 (PKSC) = 35 (SKPC) = 45 Who wins the election by the Hare method? Does this violate the Condorcet Criterion?

Answer 1

in data opel Bavore Скрѕ CKSP PKSC Sk PC freno 45 30 35 45 No. of Candidates - 4 Kim (K) to & Selena is) vor 16 3 Carl (c) princem (P) on site in crossri Allame According to question 45+30 +35+45 Total numby of votes 2 155 DEECH By Haqe's method wanneį should have more than 155 votes i.e 78 No. of votes voter preference, Uite 45 c>k J PTS 30 C>k>S>P 35 P>k>s>c Otis S>K>P>C ce 45+30 75 No. of votes to No. of voty to P 35 dak No ot votes to. S-45 evol No of votes to 4 to show to on

According to tage's method the smallest numby be moved should be eleminated and the votes should to next party No of votus to k = 30 No. of votos to c = 45 No ob voty to P - 35 CI No. of vote to s 45 thee still no-one hay 78 voty, we shall repeat more proces opping Ca and needs to be transferred smallest numby is still 30 Pro to the next candidate iz CORO Toto porno olor No. of votis of K-0 it 5 =) -45 No. of voly of s - 45+30 75 co 3YCY D DOOHOO0Bodi DOH No. of vots of С. = 45 No ot votes of P - 35 still no winnes repeating process again as No. of votes of k = 0 No. of roty of s No. of votis of c. - 45 No. of votes of P = 35+30=65 still no winny, now the next smallert no is 35 repeating the process with that No. of votus of C: 45+30 = 75 No. of votes of P = 0 lido No ot votis of 4 - 35 torosh -> No. of vots of S = 45

still no winner Repeating again No. of. vots of c:75 No ob votes of P=0 Noot voty of rto No. of voty of S 45+35 = 80 than majority required which is more Hence S wins the election. c is preferred by 45+30 = 75 votos Kis preferred by o votes voty Pis preferred by 35 votes and s by 45 points peceived by c: 45x3+30x3+35X0 +45X0 - 135+90 toto C: 2251. points received by K = 45X2 +30x2 +35x2+45X2 90+60+70+90 к 310 Already based on this oncomplete alculation we can say that 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 st preferences (c) is not the eventual winner here. -