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In these two examples, the first one is an example of the Monotonicity Fairness Criteria being violated, and the second one is not. Write a

In these two examples, the first one is an example of the Monotonicity Fairness Criteria being violated, and the second one is not.

Write a few sentences explaining why the montonicity criteria was violated in the first example, but not in the second example.

This is an example of the Montonocity Fairness Criteria being violated:

# of Votes 2 10 7 8
1st Place D A B C
2nd Place B B C A
3rd Place A C A D
4th Place C D D B

The Instant Run Off Winner of this problem is Candidate A

But then the votes are changed and the 2 people in the first column decide that they prefer A to B,

but they still like D the best.

The new preference table looks like this:

# of Votes 2 10 7 8
1st Place D A B C
2nd Place A B C A
3rd Place B C A D
4th Place C D D B

The new winner is candidate C

This is an example of the Montonocity Fairness Criteria not being violated:

# of Votes 2 10 7 8
1st Place D A B C
2nd Place B B C A
3rd Place A C A D
4th Place C D D B

The Instant Run Off Winner of this problem is Candidate A

But then the votes are changed and the 7 people in the third column decide that they no longer like candidate B, and they demote him to last place.

The new preference table looks like this:

# of Votes 2 10 7 8
1st Place D A C C
2nd Place A B A A
3rd Place B C D D
4th Place C D B B

The new winner is candidate C

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