Contemporary Math-Voting Theory

(8 points) Kyira likes to set out candy on her office desk for her coworkers and she decides to find out what type of candy her coworkers would like the best if they had a choice between Sprees, Lifesavers, and M&M's.

	Number of votes
Ranking	8	7	2	2
1st	M & Ms	Lifesavers	Sprees	Lifesavers
2nd	Sprees	Sprees	M & Ms	Sprees
3rd	Lifesavers	M & Ms	Lifesavers	M & Ms

1. If Kyira uses her coworkers' preferences above and uses the Instant Runoff Voting method (IRV) to decide which candy to get for the office, which candy will she get?

2. Is any of the three candies a Condorcet candidate? If so, which one? Show your work.

3. Does this show a violation of the Condorcet criterion? Explain your answer.