An election with five candidates (A, B, C, D, and E) is decided using the method of

Chapter 1, Problem 49

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QUESTION:

An election with five candidates (A, B, C, D, and E) is decided using the method of pairwise comparisons. If B loses two pairwise comparisons, C loses one, D loses one and ties one, and E loses two and ties one, (a) find how many pairwise comparisons A loses. (b) find the winner of the election.

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QUESTION:

An election with five candidates (A, B, C, D, and E) is decided using the method of pairwise comparisons. If B loses two pairwise comparisons, C loses one, D loses one and ties one, and E loses two and ties one, (a) find how many pairwise comparisons A loses. (b) find the winner of the election.

ANSWER:

Step 1 of 2

Given,

 loses 2 comparisons.

 loses 1 comparison.

 loses 1 comparison and have a tie.

 loses 2 comparisons and have a tie.

We know, each candidate will have 4 comparisons, therefore total points are:

 

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