On Wed, 26 Sep 2001 15:51:37 -0700 (PDT) Forest Simmons <[EMAIL PROTECTED]> wrote: > The only winner that all Condorcet methods agree on is the CW head-to-head > beats-all winner. > > So if A wins in all of the precincts, but B wins the election, then not > all Condorcet methods would agree that A won in all of the precincts and > that B won the election. > > So in some appropriate topology, Condorcet Methods are on the boundary of > the set of methods that fail the Consistency Criterion, while IRV is > interior to that set. > > In my opinion this line of reasoning is a better apologetic for > Condorcet's relationship to the Consistency Criterion than the apologetic > that tries to discredit the Consistency Criterion itself. > > In other words, saying we almost reached the grapes is better than calling > them sour.
I would agree that the consistency criterion is desirable to the extent that it can be used as a criticism of methods that fail it. The consistency criterion is intuitive. But once you think about it, it doesn't actually make much sense. So, I think it is much better to attack the consistency criterion directly. On the other hand, I can envision the following scenario. Candidate X says, I won decisively in every precinct, but lost over-all, how come? I retort, what do you mean, in this precinct, more people voted for candidate Y over you than vice versa. How can you say that you won decisively in that precinct? This retort will always work for any Condorcet completion method, so they can be defended against someone who claims decisive victories. > See my Greek Tragedy example in the archives at ... > > http://www.mail-archive.com/[email protected]/msg06168.html All methods will have some results that are counter-intuitive, at least to some people. You can always construct an argument by claiming that if the public sees such and such a result, they will revolt, causing chaos, horror, and a bloody purge of election method theorists. The reality is that the current electoral process gives frequent counter-intuitive results, and there isn't the slightest hint of revolution (at least not from that). --- Blake Cretney
