> Date: Mon, 20 Jan 2003 19:59:16 +1300
> From: Craig Carey <[EMAIL PROTECTED]>
> Subject: Notes on total withholding over nonexistent withheld Schulze Clones test
>
> Communication from the owner of the 'Politicians And Polytopes'
> mailing list.
>
> I ha
n the
> wording, which of these is the case?:
> * "is only needed" refers to the designer's intent ?, or
> * it is implied by some detail proof that was missing.
That's a matter of taste. Those situations where all voters are indifferent
about all candidates can be exc
Dear Craig,
"Independence from Clones" is a criterion for single-winner elections.
"Independence from Clones" has been introduced by Tideman. Please read:
[1] T. Nicolaus Tideman, "Independence of Clones as a Criterion for
Voting Rules," SOCIAL CHOICE AND WELF
Origin of clones-
N1 A > B
N2 B > A
N Total votes
C comes along
C *may* beat -
A
B
A and B
neither A or B (is beat by both A and B).
The degree of beatings may, of course, vary --- by 1 vote to 100 percent of
the votes.
One can not obviously detect if a beating is due to in
100: A
The proposal makes A and B 'clones'!
Well, if you don't like an example which starts with just two candidates and
therefore will reduce to no-contest when one is deleted, let's try again
with a third candidate, e.g. start with: 100: A>B>C.
Either way - deleting
I just thought of a possible definition of clones:
Candidates A and B are clones in a ranked-ballot election if and only if
deleting A from the ballots and renaming B as A is equivalent to deleting B
from the ballots.
Example:
49:Reagan>Anderson>Carter
33:Carter>Anderson>Reagan
Some more about the mysteries of clones ---
34 ABC
33 BCA
32 CAB
99
First 2 places
A 66
B 67 Max
C 65
X a 100 percent clone of A comes along
34 AXBC
33 BCAX
32 CAXB
99
First 2 places Last 2 places
A 66 33
X 34 65
B 33 66 Max
C 65
would say, "What a dismal bunch of clown clones!"
One possibility is that people will approve only a few
candidates no matter how large the field, or that the number
of approvals will increase with increasing number of
candidates, but not as fast. For (speculative) example, with
four c
Demorep wrote:
>
>51 AB
>49 BA
>
>Choice C comes along
>
>Some extreme possibilities--
>
>C is first on all ballots
>
>51 CAB
>49 CBA
>
>Are both A and B mutant reverse clones of C ???
No! C isn't a clone with A or with B. Clones are candidates w
The recent Ossipoff-Schulze back and forth comments about clones lead me
again to note the below.
51 AB
49 BA
Choice C comes along
Some extreme possibilities--
C is first on all ballots
51 CAB
49 CBA
Are both A and B mutant reverse clones of C ???
--
C beats A on every ballot
51 CAB
49
The following definitions, lemmas, and propositions may be
generally useful in proving properties about voting methods.
Many of the them are related to independence of clones.
I haven't provided proofs of the lemmas, due to lack of time.
Hopefully I will find time at a later
EM list--
Right after I sent my most recent posting, it occurred to
me that 2 of my reasons for preferring SSD's choice in the
tied clone sets example weren't really good reasons at all.
The one about lesser-of-2-evils voters, and the one about
the fairness of overruling the fewest voters. Beca
67 67 234
K 65 32 X 99 99 295 Max.
M 65 32 0 X 99 196
N 65 32 0 0 X 97
990 = 99 x 10
Note the A defeats by K, M and N.
Creating clones obviously produces misleading Borda amounts. Namely, simple
Borda is highly defective.
Again- the highest
35 ABDC
34 BDCA
31 CABD
100
A > B and D, B and D > C, C > A, 100 B > 0 D
Going backwards, even the 2 or 3 choice cases can be deemed to have an
element of cloneness. Namely, the largest head to head defeat shows the
largest clone (noting that head to head comparisons may involve di
Should partial twins/clones be given special treatment ?
Example--
25 BAC
20 ABC
15 CAB
Should the 15 [ABC] clone and 5 [AB] clone be treated special ?
Supplement 1
For clarification---
I suggest that Mr. Schulze's Clinton clone example should be treated as
120 voters vote [Clinton Clones] > Dole > Perot.
105 voters vote Dole > Perot > [Clinton Clones].
75 voters vote Perot > [Clinton Clones] > Dole.
That is
In Re: Condorect sub-cycle rule, Sat, Oct 4, 1997 12:18 PM EDT Mr. Schulze
copied an example from Mr. Saari regarding clones
> [Saari] Assume the following ratings (opinions):
>
> Apple-1 Apple-2 Apple-3 Chocolate (Ranking)
> 20% Exc(99) Exc(98) Exc(97) Exc(95) A1>A2>A3>
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