James Green-Armytage suggested:
>       Let's try to follow through with one of these examples 
> until the end. Let's say that in a presidential election, the 
> ballots cast are
> 
> 48: Bush > McCain > Gore
> 3: McCain > Bush > Gore
> 49: Gore > McCain > Bush
> 
>       The Condorcet winner is McCain, and the IRV winner is Bush.
>       Now, let's imagine that there is a runoff election 
> between McCain and Bush. How do you think that people will vote?

1.  I cannot usefully comment of the likely outcome of this run-off because I don't 
know enough
about the candidates and the electors.

2.  More importantly, changing to a run-off election part-way through and asking 
questions about
that, does not address the issues arising from the outcome of the Condorcet election.  
My hypothesis
is that politicians and the general public are likely to reject both the election 
result and the
voting system if the voting system allows the "weak middle" to come through and win 
when that "weak
middle" has the first-preference support of only a very small percentage of the 
voters.  They
understand very well all the ideas of "compromise" and "everyone's second choice", but 
based on
their response on some other "dimension", they will reject the result and the voting 
system that
produced it.

Trying to guess and analyse what these voters might do in various run-off sub-sets 
doesn't really
help us to measure their likely response on this "other dimension", except that there 
is good
evidence that voters (at least some voters) will vote different in an exhaustive 
ballot (repeated
run-off) from how they would vote if IRV were used.  Some analysts see that difference 
as a good
feature of the exhaustive ballot, others see it as a bad feature.  I have in mind here 
the voting
behaviour of MPs of certain UK political parties who have, in the past, elected their 
party leaders
by exhaustive ballot.  The results from successive stages have shown very clearly that 
these voters
have changed their "preferences" quite markedly after they have seen the preferences 
of all the
other voters in the previous stage and stages.  In this particular case there may be a 
strong
element of wanting to be seen to have been "on the winning side" (even when the ballot 
is secret)
because that is the path to political preferment (high office at the leader's sole 
discretion).
However, I suspect this is a more general phenomenon.  Problem is, we very rarely get 
relevant data
because no one normally asks real electors to vote the same real election by several 
different
systems.

James G.



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