Consider the following preference table If the Borda method

Consider the following preference table. If the Borda method is used to determine the winner, is the Condorcet criterion satisfied or violated? Explain.

Solution

Given that

1.CONDORCET METHOD

BY USING PAIRWISE METHOD TO DETERMINE CONDORCET WINNER  

1. P VS. L, 2. P VS. S, 3. L VS. S

     

SO P IS WINNER,HERE T IS TOTAL

2.P VS. S

P IS WINNER

3.L VS. S

HERE L IS WINNER

BY USING PAIRWISE COMPARSION ,WE FIND CONDORCET WINNER IS P

BORDA METHOD:

TOTAL:P=8+1+0+1+0=10, L=4+2+1+0+4=11, S=0+0+2+2+2=6

SO THE BORDA WINNER IS L

CRITERION IS VIOLATED

BECAUSE P IS CONDORCET WINNER BY USING PAIRWISE COMPARSION BUT BY USING BORDA METHOD WE FOUND THE BORDA WINNER IS L

TWO METHODS HAVE GOT TWO DIFFERENT WINNERS

no of voters	ranking
4	P>L>S
1	L>P>S
1	S>L>P
1	S>P>L
2	L>S>P