
Figure 1: These stacks of votes give the impression that they represent numbers. Look carefully though, and you can see they aren't numerically consistent.
The argument had escalated quite rapidly – in no small part due to my overzealous opening statement, “there is not a single valid argument to ditching AV in favour of our current, broken electoral system of first past the post.” Unfortunately, this had the predictable effect of hardening the opposition against any possibility of a change of heart, and attempts at changing his mind for the rest of the evening were completely hopeless. As it turns out, the focus of his argument was on the claims of a single diagram, printed on a ‘No2AV’ leaflet that had somehow found its way onto our kitchen table (Fig. 1).
The diagram appears to show that under AV, a candidate winning the greatest number of votes can (*gasp*) lose an election to the candidate with the second greatest number of votes. There are so many ways to discredit this cynical, deceitful and poisonous argument, so where to begin? Actually, I had to wrack my brains for a while to decide why it is that this stupid diagram was so effective. I could see intuitively that it was incredibly dishonest and deliberately misleading, but I couldn’t immediately explain why – I think this pretty much sums it up though:
1: The diagram is qualitative, yet masquerades as a quantitative basis for an argument. In other words, the heights of the piles are instinctively interpreted by the reader as representing the total number of votes cast for each candidate. However, they do not (see Fig. 2). Once quantitative representation breaks down, the diagram becomes meaningless, except as a means to propagate no2AV’s agenda.
2: If you look at all voting rounds, you can see that the height of candidate A’s stack stays the same throughout. This means that all the alternative votes cast by all voters for candidates C, D and E piles go toward candidate B. There are no reciprocal alternative votes between candidates C-E, and none for the candidate A (Fig. 3). Think of your local constituency – what are the chances of this happening there?

Figure 2: If you add up the votestack heights from candidates B - E, you end up with a stack almost twice as high as candidate A's. Why did no2AV perform this little stunt? Because if people see that candidate B has an overwhelming majority of votes - yes, AV is a *2-vote* system, and both votes count - they might see through this deceit.
3: Following on from [2], if no2AV were serious, they would give an example of a situation where all alternative votes cast went to a single candidate, from a real-life election held under AV in another country. I suspect such an example does not exist. So, no2AV give no indication of (i) how likely the situation in [2] actually is (the odds are not good) and, most importantly, (ii) why this would be a bad thing anyway.
4: Expanding on 3(ii), this diagram was put there to support a stinking, rotten red herring of a premise: That it is *unfair*, or scandalous for the so-called 1st-place candidate to lose. Why is it unfair? The 2nd place candidate got all of the alternative votes of all the rest of the voters. This means that more people placed a vote (first, or alternative) for candidate B, than for candidate A. In other words, more people voted for the ’2nd-place candidate’ than the ’1st-place candidate’! This is the root of why the diagram is so misleading and corrosive – the mere act of calling the ‘1st-place party’ the ‘1st-place party’ sets up the whole misunderstanding. It is a subtle psychological manipulation of an electorate that have never had a second vote. Candidate A is only the 1st-place party in terms of the first vote. It loses because it receives no alternative votes at all. The diagram works so effectively because it plays on the fact that the electorate is stuck in the mindset of a single-vote system. In our minds, only the first vote matters. This is ludicrous because the whole point of AV is that we get 2 votes!

Figure 3: The votestack for candidate A doesn't change throughout the voting stages - however, in each stage there are always purple arrows leading from the smallest stack to the rest of the stacks. But, since all redestributed (alternative) votes all going to candidate B, there should only be one arrow in each stage, pointing to candidate B. For instance, in the final stage here, you can see clearly that the A stack does not change height, so why does arrow (i) even appear?
The clever combination of an implicitly quantitative diagram with deliberate inconsistency in the heights of the vote stacks and misleading arrows is effectively fraud: a visual lie. This is the equivalent of a sleight of hand card or magic trick. However, no2AV cover themselves from accusations of wrong-doing, because nowhere on the leaflet does it state that the stacks represent numbers.
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