September 24, 2009 Leave a comment
This is a scenario that can arise in a mock election situation.
Suppose there are 3 voters 1,2 and 3; and three candidates A, B and C.
The preferences of each of the voters are as follows:
Voter 1 : A B C
Voter 2 : B C A
Voter 3 : C A B
If A is considered as the winner, then one can argue against that by noting that C is ahead of A in the preference list of 2 of the 3 voters (Voters 2 and 3).
Similarly, if B is declared as the winner, then it can be argued that A is preferred over B by a majority ( 2 out of 3) of the voters.
Similar is the case with C being declared as the winner.
So, under the majority rule, none of A, B or C can be rightly declared as winners.
See http://en.wikipedia.org/wiki/Voting_paradox for more on this.