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