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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)



On Wed, Nov 29, 2000 at 01:44:33AM +1000, Anthony Towns wrote:
> The reason I'm not accepting your interpretation, or considering it
> at all reasonable, is that I'm still not seeing any basis for your
> interpretation than that it comes up with the right answer. 

I'd say "plausible answer" instead of right answer -- your interpretation
does not come up with a plausible answer.

I suppose a part of the problem also lies with the word "prefer".  [Do
transitive ranking characteristics indicate preference?  The constitution
doesn't explicitly say.]

> Why not simply define the terms as they are used by the people who care
> about these things, and then clearly express the procedure by which ties
> should be dealt with, rather than defining them out of existance?

Sounds good.

> 	A.6(2) An option A is said to Dominate another option B, if
> 	       there are more votes which rank option A above option B
> 	       than there are votes which rank option B above option A.
>
> 	A.6(2a) The Smith Set of options in a vote is the smallest
> 	       non-empty set of options, each of which Dominates every
> 	       option not in the Smith Set.
> 
> 	A.6(3) If there is only one option in the Smith Set, it is
> 	       the winner.
> 
> This still leaves the more important problem of how to handle related
> (opposing) options in a single vote unaddressed, however. I'm further
> inclined to suspect that using Single Transferable Vote to choose the
> winner from the Smith Set isn't ideal, but I don't know enough about
> the alternatives to give a basis for that suspicion.

Single Transferable Vote biases the selection in favor of first
preferences at the expense of other preferences.  Can you think of a
better kind of criteria for making the selection?  Or, can you construct
an example where you feel that Single Transferable Vote seems unfair?

Thanks,

-- 
Raul



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