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Talk:Independence of clones criterion

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This is an old revision of this page, as edited by 63.194.187.135 (talk) at 21:49, 5 November 2008 (→‎Woodall's terminology). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

mergefrom Clone (voting) - I like the more-straightforward presentation of the other page, perhaps we could re-organize this one to carry the same information 24.19.11.19 09:24, 31 August 2007 (UTC)[reply]

Number shifting and second example

I shifted the numbers in the first example. I may be completely ignorant here, so feel free to revert me, but it seems that when alloting 55 votes versus 45 votes, it's much harder to make clear that candidate A(clone) is the same, in every way, as candidate A (since 55 cannot be split evenly, and in fact wasn't split evenly in the example). Switching the votes from 55-45 to 100-75 keeps the principle intact, while making it more obvious that A(clone) isn't just a third candidate, but is an absolute clone of A in every way. Of course, 100+75 does not equal 100, which makes "my" set less pretty than the old one. It also means that the numbers in the first section are different than those in the second section - which, of course, can be easily fixed (or ignored, if my numbers aren't ideal) --Badger Drink 19:58, 18 October 2007 (UTC)[reply]

And, as a third-party possibility, we could consider going back to the 55-45 numbers, and changing them from a vote-count to a percentage, thus allowing A and A(clone) to end up with 27.5% of the vote. --Badger Drink 20:00, 18 October 2007 (UTC)[reply]

This article should be either rewritten or deleted

This article is totally unsourced, is pure speculation and is completely self-referential. It asserts that "The independence of clones criterion states that the addition of a candidate identical to one already present in an election will not cause the winner of the election to change", and then sets out to prove that assertion mathematically. Providing proofs for esoteric statistical theories is not the function of an encyclopaedia. Either this argument is of the author's own invention, in which case it is original research, or else it is copied from somewhere else, in which case it is plagiarism. I happen to know that it derives from the work of Nicolaus Tideman, but the reader is not informed of this. Either this article must be rewritten as a properly referenced discussion of the issues, or I will nominate it for deletion. Intelligent Mr Toad (talk) 08:36, 5 May 2008 (UTC)[reply]

Woodall's terminology

As far as I remember correctly, Woodall's "clone-winner" criterion says that replacing a candidate A, who was elected with a positive probability, by a set of clones A(1),...,A(m) must not decrease the probability that the winner is chosen from this set. As far as I remember correctly, Woodall's "clone-loser" criterion says that replacing a candidate A, who was elected with zero probability, by a set of clones A(1),...,A(m) must not change the result of the elections at all. In any case, as far as I remember correctly, those papers, where Woodall introduces these terms, have not yet been published. Markus Schulze 16:38, 26 July 2008 (UTC)[reply]

A Head in the Polls

Does the A Head in the Polls episode present or demonstrate (in the ideal case) some of the kinds of of problems that arise with this, and if so, which ones?