IRV sometimes is not monotone, and sometimes is very terrible
Kirshenbaum is infact IRV.
In image above:
IRV will eliminate A, and B will be the winner.
Here IRV is not consistent with Condorcet winner (without ambiguity “A”).
Two more people who loved C , start to love B and bring B to their best choice. This will Cause B not to be the collective Choice anymore !!
NOW IRV removes C and A is the winner !
Here IRV is good but is was not monotone from 35 to 37 loving B