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<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold"">Spatial models of voting</span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold""> </span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold"">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.</span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold"">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.)</span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold"">It draws on my previous e-book, FAB STV: Four
Averages Binomial Single Transferable Vote.</span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold"">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.</span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold""> </span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold"">Regards,</span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold"">Richard Lung.</span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold""> </span></p>
<p class="MsoNormal"><span
style="font-size:16.0pt;font-family:"Arial Rounded MT
Bold""> </span></p>
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