[EM] Spatial models of voting

[Richard Lung]

Spatial models of voting

A few decades ago, I came across a spatial model voting, which was only 
in terms of the spatial positions of spot votes or single preference 
votes. It was essentially a strategy game, calculating what was the best 
spatial position for a candidate to occupy in order to win. Anyway, 
that’s how I remember it, all this time ago, now that I’m reminded of it 
by erudite mathematical and computational discussions around me.

Then I also remembered that I have actually done an electoral model of 
physical space-time – the Minkowski Interval (in my free Smashwords 
e-book: Statistical Relativity Elections.)

It draws on my previous e-book, FAB STV: Four Averages Binomial Single 
Transferable Vote.

To make this analogy work, you have to have a two-dimensional version of 
Binomial STV. That means a complex number count. One vote is for your 
individual representative. The other vote is for the best arbiter for 
the community. The arbiter is a neutral, not an identity or a polar 
opposite, and is thus physically represented at right angles to the 
representative axis. The two axes, of representation and arbitration, 
are each exactly the same as one-dimensional binomial STV. But a 
two-dimensional plane, of individual and community representation, 
requires a complex number count.

Regards,

Richard Lung.
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