Clay Shentrup wants to know an argument that instant runoff voting (IRV) gets the winner wrong in at least one of these two elections:
#voters their vote ------- ---------- 8 B>A>C 5 C>B>A 4 A>C>B (winner = C) #voters their vote ------- ---------- 4 B>A>C 6 C>B>A 5 A>C>B 2 B>C>A (winner = C)
Rename A→Z, C→Y, B→X in election #2:
#voters their vote ------- ---------- 5 Z>Y>X 4 X>Z>Y 6 Y>X>Z 2 X>Y>Z (winner = Y)
Rename A→X, B→Y, C→Z in election #1:
#voters their vote ------- ---------- 5 Z>Y>X 4 X>Z>Y 8 Y>X>Z (winner = Z)
Now the sole difference between the two elections is 2 "Y>X>Z" voters switched their vote to "X>Y>Z" causing Z to stop winning and Y to start winning (?!).