Voting Paradox

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.

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