[Election-Methods] YN model - simple voting model in which range optimal, others not

[Dave Ketchum]

Ok, I give up on poking at this one.

While the stated votes may be possible, I do not accept them as being of 
enough expectability to be useful in comparison among the election systems.

DWK

On Wed, 26 Mar 2008 11:13:42 -0400 Warren Smith wrote:
>> Then have THE SAME voters vote Range and Condorcet.  I would expect
>> comparable vote counts - if that does not happen, tell us why.
> 
> 
> --I *do* use the same voters for Range & Condorcet.  In the example answer e,
> the range voters elect the best winner YYYY,
> and the Condorcet voters elect the worst winner NNNN
> (or at least they prefer NNNN over YYYY pairwise by a large margin: 70 to 30).
> 
> 
>> > --well, the voters were not biased toward Ns - they were biased toward Ys!
>>
>> Quoting from the web page that I printed 3/23:
>> "e.If 70% of the voters each have ideologies consisting of 70% Ns ..."
> 
> 
> --yes.  And that means there are 70%*70%=49%  Ns versus 51% Ys, which
> yields a Y-favortism, on every single individual issue, by 51% majority.
> 
> The problem is when these issues get AGGLOMERATED into voters with
> different stances in an unhappy manner, the result is that Condorcet
> and other voting
> systems malfunction, whereas range continues to function fine.
> 
> The other systems are not "self consistent" under such aggregation,
> that is my whole point.
> 
> To make an analogy, it is like gerrymandering.   With gerrymandering,
> it is possible
> (and common!) for Republicans to win a majority in Congress, despite
> the majority of
> voters being Democrat and all votes honest.
> 
> With issue-agglomeration, it is possible in many voting systems
> for the worst candidate NNNN to win, despite the majority of voters being
> pro-Y on every individual issue, and despite 100% honest voting.
> Range voting does not exhibit this problem.
> 
> Now it might be that in real life, gerrymandering is common and hence
> a serious problem, while
> this kind of issue agglomeration is uncommon and hence not a serious problem.
> That seems at least plausible, but I do not currently know if it is
> true.  The examples
> I constructed were intended to maximally dramatize the situation - but
> the problem
> will also arise in less-dramatic forms.
-- 
  davek at clarityconnect.com    people.clarityconnect.com/webpages3/davek
  Dave Ketchum   108 Halstead Ave, Owego, NY  13827-1708   607-687-5026
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