ANSWER: There is a tie between George and James


The completed head-to-head matchup table is shown below.

  George Holly James Inez
George ---------- GEORGE JAMES GEORGE
Holly ---------- ---------- HOLLY INEZ
James ---------- ---------- ---------- JAMES
Inez ---------- ---------- ---------- ----------

George gets 2 points

James gets 2 points

Holly gets 2 points

Inez gets 0 points

For the purposes of this course, we will not break ties. In reality, there would be some predetermined method of breaking ties so that a unique winner could always be determined. (For instance, there might be a rule that said in the case of a two-way tie, the winner would be the candidate involved in the tie who beat the other tied candidate in their head-to-head matchup. If we applied such a tie-breaking rule here, the winner would be James since he beat George in their head-to-head matchup.) How might we handle a 3-way tie?

Ties are common with the Method of Pairwise Comparisons.
The frequency of ties is one of the disadvantages often cited by critics of the Method of Pairwise Comparisons.

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