Instructions:
Move votes from q>p>r to q>r>p one at a time by clicking on the “Next” button below (be sure to let the similation come to rest before changing the vote again).
Observe how the red point crosses the boundary between wedges.
Repeat the experiment with the “Mediancentre” button selected below the simulation. How do these two differ?
▷ Explanation:
Take the “Smallest McBorda manipulation” profile <2,0,1,0,1,1>, scale it by a factor of 3 to get <6,0,3,0,3,3>, and shift the 3 q>r>p voters temporarily to q>p>r, to obtain the profile <6,0,3,0,6,0> you see here.
By transferring votes from q>p>r back to q>r>p one-at-a-time, we see what started as a single weak Borda manipulation now teased apart (thanks to the higher resolution of the scaled profile) into two such manipulations, as the red point moves first from one side onto the boundary, and then off the boundary to the other side.
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