Condorcet fans seem unable to comprehend that with 2 of 3 candidates being
"extremists" on a ballot that each "middle" voter will be in a tough
situation about what to do about their second choice vote (if any).
A middle voter may hate one extremist by "absolutely" minus 99.9 percent and
hate
Supplement 7
Some clarification regarding the defeat of losers using Reverse Bucklin--
If all candidates lose at a certain Reverse Buckin level, then (a) the early
choices could be used to break the tie or (b) the candidate with the lowest
number of first choice votes would lose with the math
Markus Schulze wrote:
in the last days, you have spamed the Election Methods
Mailing List with mails about the Reverse Bucklin tiebreaker.
You have explained the Reverse Bucklin tiebreaker in detail
and calculated many examples. But you haven't written
anything about the expected advantages of
Below is the 4 choice general circular tie case with each choice grouped last
(6 each) (assuming no truncated votes). N number= a number of votes
Perhaps it will enlighten as to how to get a majority consensus winner in all
cases (3 to M(any) choices in a circular tie).
The 3 choice general
Mr. Ossipoff wrote in part--
Markus posted examples to show that SC violates No Show and
Positive Participation, but how does Schulze's method do with
regard to those 2 criteria?
For the folks who do live on the various criteria (such as me), I ask how many
criteria are out there in internet
Supplement 1
More on the theory--
DC = Desired Choices, CC = Compromise Choices (i.e. lesser of evils choices),
OC = Opposed Choices, N = Number of votes for each type of vote
N1 DC CC OC
N2 DC CC OC
N3 DC CC OC
N4 DC CC OC
N5 DC
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) A1A2A3Ch
20% Exc(97) Exc(99)
Britain will get PR referendum, Cook says
By Mike Peacock
LONDON, Jan 9 (Reuters) - Foreign Secretary Robin Cook insisted on Sunday the
government would offer Britons a referendum on a proportional representation
voting system despite disquiet among Labour Party members.
``We think the
http://www.cap-press.com/lowenstein/
has info about the book
Election Law, Cases and Materials by Daniel Hays Lowenstein (1995)
See the Table of Contents at
http://www.cap-press.com/lowenstein/toc.html
(especially the gerrymander chapter).
18 Jan 2000
To: ALL Defenders of Democracy
From: [EMAIL PROTECTED]
RE: Proposed Revised U.S.A. Constitution
The U.S.A. 1787 Constitution has the following fatal anti-democratic
features--
1. The minority rule gerrymanders for electing the House of Representatives,
the Senate and the President
*** Democracies Online Newswire - http://www.e-democracy.org/do ***
Below is the table of contents and text of the Executive Summary:
http://www.ss.ca.gov/executive/ivote/
(Thank you Kim Alexander and Marc Strassman for notices on the
report. Also if anyone who receives this
Certain adjective/ adverb buzz words and phrases of seem especially to set
off certain folks.
A few examples- best, worst, better, worse, fair, unfair, etc., anti-etc.
How about banning such words and phrases (since they are meaningless in a
real election method) ???
I note again for about the 20th time-
A. undivided majority minority
B. all or part of a minority plus part of a divided majority can be rest
of the divided majority
B produces the clones and circular ties and the related sundry strategies and
criteria floating around.
I note again- an election method must work on the votes cast (not some added
or removed votes).
Apparently Prof. Saari and other journal writers are unaware (to be mildly
generous) about such elementary common sense principle (related to starting
conditions in any scientific method
There is a new site about the New Zealand Mixed Member Proportional
representation system for electing the New Zealand Parliament at
http://www.elections.org.nz/elections/general/govt_elect.html
There is a very interesting electoral glossary (especially for parliamentary
systems) at
Mr. Cretney wrote:
I've had an EM resource web page, including a single-winner FAQ for some
time now. It's at:
http://www.fortunecity.com/meltingpot/harrow/124
I am always open to suggestions for making it better and more complete.
---
D- Absent an EM FAQ, I suggest that all such pages
Mr. Cretney wrote-
Consider the following example:
45 A B C
25 B C A
30 C B A
--
D-
Place Votes
1 2 3
A 45055
B 25 75 0
C 30 2545
100 100 100
Subtracting the 3rd place from the 1st place votes ---
Net Place Votes
1-3 2
A -10
I wrote-
Is there still support for the single step tiebreaker using the fewest votes
against in the worst defeat (especially with 4 or more choices in a circular
tie) ?
---
D- Seeing no responses-- I note another simple circular tie example with 5
choices
22 ABCDE
21 BCDEA
20 CDEAB
19 DEABC
[An interesting article on Iowa's electronic voting trial and electronic
voting in general. The reporter emphasized my negative quotes
more than I would have liked, but overall a good article.--LFC]
http://www.boston.com/dailyglobe2/305/nation/Iowa_to_put_Internet_voting_to_
the_test+.shtml
The
A 5 by 5 place votes table for single winner elections--
Each letter-number is a number of votes
1 2 3 4 5
A A1A2A3A4A5
B B1B2B3B4B5
C C1C2C3C4C5
D D1D2D3D4D5
E E1E2E3E4E5
Mr. Ossipoff wrote-
Compared to other non-Condorcet methods, Approval
requires twice as many mistaken compromisers in order to give away
an election. So one disadvantage about compromise strategy is the
possibility of giving away an election. Additionally, it sends the
wrong message to the other
Ontario, Canada June 3, 1999 Summary Gerrymander Election Results
103 Single member districts
37th General Election - Summary of Valid Ballots
Registered Political Parties
SEATS WON
PERCENT OF TOTAL SEATS
VALID VOTES
PERCENT OF TOTAL VOTES
PTS-PTV
Communist Party of Canada (Ontario)
0
0.0
814
For 5 choices and rank voting there are the following possible combinations --
Place
12 345
Vote 55 x 4 x 3 x 2 x 1 = 120*
Vote 45 x 4 x 3 x 2 = 120*
Vote 35 x 4 x 3 = 60
Vote 25 x 4 = 20
Vote 15
Yet another possibility for breaking ties in a net wins table is to simply
combine the choices with the individual highest net wins/ losses, repeatedly.
Example--
27 ABCD
26 BCDA
25 CDAB
23 DABC
101
75 AB 2649 AB -49
50 AC 51-1 AC1
27 AD 74 -47 AD 47
76 BC 2551 BC -51
53
Another visual aid to show the various possibilities. View in a monospace
font for better alignment.
5 Choices-- A,B,C,D,E
Position votes
Assume all votes where a choice is shown and the X choice(s) to the left of
such choice are YES votes.
A "Z" choice is any one of the other 4 choices and
Applying the Conditional YES votes to a standard 3 choice case that appears
to be a circular tie--
1 2 3
35 A B C
34 B C A
31 C A B
100
Some of the second choice votes may be Conditional YES or NO.
If a choice gets a majority NO, then it loses and the rankings on the ballots
having
You wrote (16 Sep 1999):
What of Condorcet, a topic of this mailing list?:
An example: In an election with 2,152,370 candidates and
430,927 winners, how can it be certain that pairwise
comparing of two candidates is an idea that ever had some
mathematical importance on the fist day?, in
A party list- district winner p.r. system---
Parties and district candidates get on the ballots using a nominating
petition.
Each district should contain at least 5 X Total Voters at last election/
Total seats.
Voters vote on a national party list and vote for district candidates.
For each
Mr. Schulze wrote in part--
Suppose that the Senate uses SSD to elect its President
pro tempore. Suppose that 50 Senators are Democrats and
50 Senators are Republicans. Suppose that the Democrats
nominate three candidates A1, A2 and A3 and that the
Republicans nominate only one
Donald: They, centrist candidates, make fair `Caretaker' officials.
It depends what you mean. Some people would argue that centrist
candidates are bad, because more extreme candidates will change things,
and that change is desirable. If one extreme takes over, they can
change things one way.
Some more about simple sets ---
26 AB
25 BA
49 C
100
The [AB] set has a majority (of 2).
A standard circular tie ---
35 ABC
34 BCA
31 CAB
100
Doing the 3 set comparisons--
35 [AB]
C 31
4 [AB] Net
---
34 [BC]
A 35
A 1 Net
---
31 [CA]
B 34
B 3 Net
Does the 4 [AB] Net mean
Mr. Ossipoff wrote in part-
The compromise strategist isn't a dishonest
cheating manipulator. He's someone trying to get his rightful due.
The person who does the compromise strategy is the only victim in
that story. That's the problem--that he's strategically forced to
use compromise strategy.
Mr. Ossipoff wrote-
I don't know why there would be any question about that.
A non-vote isn't any kind of a vote. A non-vote isn't a half-vote
for anyone. A non-vote isn't a pair of opposite half-votes.
--
D-
Example- (X) = no explicit vote (i.e. a truncated vote)
26 BC(A) 26 BC, 26 BA, 26 CA
Mr. Schulze's example --
could you -please- explain your method using the
following example with 100 voters and 4 candidates
running for 3 seats?
30 voters vote A B C D.
26 voters vote B D A C.
24 voters vote C B A D.
20 voters vote D B A C.
produces the below head to head matrix
Supplement-
1. Votes in simple Approval Voting have a de facto YES component.
It is because there is no number ranking of AV votes that it is defective (in
not having head to head pairings if 2 or more AV choices get majority votes)
(noting that a majority requirement is not part of simple
The below is a simple method to get multi-member p.r. districts to lessen
gerrymanders.
Draw a rectangle around the area having the legislative body involved.
Note the longer axis in the rectangle.
Cut the longer axis along political subdivision lines such that half the
population (or
I note the general problem with 3 or more choices in a circular tie in a net
wins table- namely, there are 12 obvious possibilities --
All cells of net wins or losses (in the body of a table), Row Sums and Each
choice row
versus
Max Wins, Min Wins, Max Losses, Min Losses in each category
http://PRO.harvard.edu/panels/034/p034005.html
[The below are papers from the 1999 APSA meeting]
Electoral Systems and Strategic Voting
Chair:
Richard G. Niemi
Papers:
Making Votes Count in Hungary: The evolution of strategic voting and
anticipation in a new electoral system
Endre
The various tiebreakers for the infamous circular tie in a single winner case
can be classified into various types. Some of the possibilities--
Removal of choices
One at a time
Two or more at a time
based on
number of YES (NO) votes
number of first (last) choice votes (i.e. votes in
Example-
50 Seats, 10 districts
Party list votes
A 1000
B650
C530
D820
Tot 3000 / 50 = 60 votes per seat average
Seats
A 1000 / 60 = 16.67 --- 16
B650 / 60 = 10.83 --- 11
C530 / 60 =8.83 --- 9
D820 / 60 = 13.67 --- 14
Mr. Schulze wrote-
It is understandable that if some voters rank a candidate
higher then this candidate might win ("compromising"). And
it is understandable that if some voters rank a candidate
lower then this candidate might lose ("burying").
D-
Desired Compromise Unacceptable
A slight reality check -
http://www.fec.gov/votregis/vendorslist.htm
has
Known Vendors of Computerized Vote Tabulation Systems
(as of 01/04/2000)
Folks should try to get the vendors to program their voting systems for
YES/NO, rank voting, scale voting or whatever to test the various
A revised example of clone defeats.
34 ABC
33 BCA
32 CAB
99
67 BC 32
66 AB 33
65 CA 34
AB, BC, CA circular tie
Z, a 100 percent clone of B, is added after B
34 ABZC
33 BZCA
32 CABZ
99
99 BZ 0
67 BC 32
67 ZC 32
66 AB 33
66 AZ 33
65 CA 34
BZ, AZ, ZC
AB, BC, CA (same as above)
In a message dated 3/21/00 1:25:35 AM, Mr. Cretney wrote:
This is the first time a non-Nationalist has won. It seems obvious that
the two losing candidates split the Nationalist vote. Any non-FPP
system would likely have produced a different result
---
D- One can only hope that such minority
In a message dated 12/11/00 5:25:41 PM, [EMAIL PROTECTED] wrote:
Votes:
ABC
ABC
ABC
BAC
BAC
CAB
CAB
CAB
CAB
Using plurality, C wins. If we assume that voters have rankings, _whether
or not they can express them on their ballots_, then plurality fails a
Condorcet criterion.
---
D- The A and B
Which choices have a simple YES/NO majority approval/acceptability ??
(which also affects Mr. Ossipoff's comments in his --the anti-middle strategy
examples with Condorcet (I think).
An example of the pre-election poll-strategy game just happened in the
presidential primary in Michigan.
[EMAIL PROTECTED] wrote-
Is (S+2)(T+S+1)/2(S+1)T/2 ?
D- s349436 is good to raise the question. It has been very many years
since I have done much algebra.
The denominator 2's cancel on both sides.
(S+2)(T+S+1)/(S+1) T
The numerator S+2 is denominator S+1. The left side is obviously
[EMAIL PROTECTED] wrote in part--
Okay- "Regularity" is the name used earlier by Albert Langer (Craig might
recognise the name ;) ) to describe the probabilistic analogue of IIA. It
goes like this-
The addition (removal) of a candidate does not, for any other candidate,
increase (decrease) the
[EMAIL PROTECTED] wrote-
The majority rule is a rule is not desirable since it says there should
be 1 winner in all elections where it is specified that there be 0
winners. It is discredited. There is no respectability to the majority
rule because it is a rule that fails in 1 candidate
The central problem of voting theory is insincerity- the divergence of the
best vote from the directed vote.
---
D- Such problems happens due to the possibility having divided majorities if
there are 3 or more choices --- a variant of Mr. Arrow's observations.
26 ABC
25 BAC
49 C
Do some of
Mr. Ossipoff wrote-
About the parties, the probem is that the IRVies have already convinced
the Greens, the Alaska Republicans, and, I guess, the New Mexico
Democrats, and the progressives in Vermont.
--
D- Such folks are probably unaware of my Hitler-Stalin-Washington example
(now several
Mr. Davison wrote--
If we were to have an election and the leading candidate does not
receive a majority, no one has the right to declare him the winner. No,
because most of the voters wanted someone else. So, we need a solution.
-
D- Thanks for your conclusory type propaganda. Try
With things heating up (again) about various criterions on this list---
Perhaps folks would like (again) to submit their rank order lists of
criterions (aka criteria in my Webster's dictionary) so that the various
election methods (single winner or multi-winner) can one at a time be ground
to
12 3
34 AB C
33 BC A
32 CA B
99
If rank 1 YES votes are combined with rank 2 Conditional YES votes, then
A 66
B 67 Max. (due to the second choice A votes)
C 65
198
However if clone Z of A is added, then there is--
12 34
34 AZ BC
33 BC AZ
32 CA ZB
99
1 plus 2 ranks
A 66 Max.
B
Mr. Layton wrote--
I'm not sure that there is a definition of sincere voting that fully
differentiates between sincere strategic voting.
---
D- A minority cannot get its way.
Desired Compromise (one of more of those lesser evils floating around)
Unacceptable (one or more of those really
I repeat my observation about clones-
34 ABC
33 BCA
32 CAB
99
Circular tie
ABCA
Adding D-- a 100 percent clone of B
34 ABDC
33 BDCA
32 CABD
ABDCA
Going backwards, even the simple 3 choice example above can be deemed to have
a lurking clone. Namely, the worst defeated choice is the most
Markus said:
Dear participants,
it is clear why Mike Ossipoff is unwilling to understand that
plurality can be defined on preferential ballots
Mr. Ossipoff wrote--
I don't know whom you're replying to, Markus. You're not replying
to me, and you apparently didn't read my previous message
For the benefit of newer EM folks, I mention again that apparently ALL
methods have problems with sincere versus insincere votes when there 3 or
more choices (especially due to having divided majorities).
"Sincere Votes" example using YES votes and head to head number votes.
One executive
Here's how the Russians handle the plurality and nonvoter problems--
---
Putin Pushes for High Voter Turnout
By VLADIMIR ISACHENKOV
.c The Associated Press
MOSCOW (AP) - On the final day of the presidential campaign, acting President
Vladimir Putin sought today to overcome voter apathy
In response to [EMAIL PROTECTED] ---
D- I wrote in part--
A simple p.r method for low tech/ no tech areas (and possibly for so-called
high tech areas) etc.
I did lightly use "low tech/ no tech". On the news tonight a story regarding
the pending person 6 billion on Mother Earth, it
Mr. Schulze wrote in part-
I haven't yet understood how you circumvent the Banzhaf Paradox?
[For those who don't know what Proxy Voting is: The Banzhaf Paradox says
that -if the members of a committee have different numbers of votes- then
the real voting power of a committee member can differ
ONTARIO 3 JUNE 1999 GENERAL ELECTION
MINORITY RULE SUMMARY DATA
103 SINGLE MEMBER DISTRICTS
VOTES PCT TVB
103 WIN 2,292,163 52.2135 L, 9 ND, 59 PC
52 LOW WIN 960,871 21.8924 L, 8 ND, 20 PC
52 LOW PC WIN 1,191,655 27.14
TVB
Mr. Layton wrote--
AB 55 - 45
BC 47 - 35
CA 51 - 35
-Majority Winner Set consists of A C
-A is eliminated
-Majority Winner Set consists of C
-
D- I have noted that it is improper to disregard truncated votes in a place
votes table-
12 3 Tot
A
Mr. Ossipoff wrote-
No, a voting system must be defined in terms of how it acts on
people's actual votes, not on their preferences.
***
The only input available to the voting system is the
voters' actual votes.
There's no need for me to introduce a new concept for what input to
refer to when
Source of clones--
Simple example--
N1 AB
N2 BA
Clone C comes along.
N1.1 CAB C 1st
N1.2 ACB C 2nd
N1.3 ABC C 3rd
N1 Total
N2.1 CBA C 1st
N2.2 BCA C 2nd
N2.3 BAC C 3rd
N2 Total
If the clone is not in last place, then it generates some confusion.
If there
This list has gone through the 3 choice circular tie example about 5 times in
the last 3 years.
The simple general example is--
N1 ABC
N2 BCA
N3 CAB
Assume-
N1+N3 A N2 B
N1+N2 B N3 C
N2+N3 C N1 A
The preceding can obviously be expanded for 4 or more choices. Adding clones
complicates
Mr. Ossipoff wrote--
IRVies claim that after IRV eliminates all but 2 candidates, and
a majority of all the voters prefer one of those to the other
(as they surely will if no one equal-rates any candidates),
then that means that that more preferred of those 2 candidates
"has a majority" and is a
25.2 percent of the voters defacto elected the U.S. President and Vice
President (Clinton and Gore) in the 1996 election (in 25 States and D.C. with
270 of 538 electoral votes in the so-called "Electoral College").
Divide the popular votes by the Electoral College votes and sort low to high.
Mr. T. Round wrote in part (referring to Mr. D. Davidson's comments)=--
4. Donald states that "One truism of Proportional Representation is that
members are to be elected by equal portions of total votes." I don't dispute
that.
***
PS: Could I please have some feedback from others on the list
Mr. Layton wrote--
If there is approval voting, there might be--
H 50
S 49
W 99
Mr. Layton wrote-
There also might be:
H 34
S 33
W 32
What voters would do with an approval vote is very difficult, if not
impossible, to predict. The support is close enough so that both the Hitler
Mr. Ingles wrote in part-
My view regarding truncation:
Assuming three candidates A, B, and C, where B is always ranked lower
than A, and C's ranking is unspecified,
If a voter raises B's ranking, regardless of whether he/she raises B
above A's ranking:
1) It is acceptable if this causes B
In response to Donald -- I did not idly use "low-tech".
If computer ("high-tech") voting is available for legislative body elections,
then-
Each voter can vote YES/NO on each candidate and number his/her choices (1,
2, etc.)
All combinations of N test winner candidates should be matched head
MIKE OSSIPOFF wrote:
Blake wrote:
Often people want to create examples involving pairwise methods,
usually to show that the method behaves badly in some situation.
Since not all pairwise matrices are possible, it is customary to
provide a set of ballots instead of just providing a
Demorep1-
* Fixed terms
Recall elections should exist to be able to get rid of/change idiot
legislative bodies or executive / judicial officers anytime.
Blake Cretney-
Do citizens in PR countries talk as much about recall as those in countries
like Canada and the US? It seems to me
Mr. Ossipoff wrote in part (via Demorep1 on Feb. 15, 2000)--
"Drop the weakest defeat that is in a cycle with defeats that are
all stronger than it is". Repeat that until there's an unbeaten
candidate."
This has been called "Sequential Dropping" ("SD").
SD
Mr. Ossipoff wrote in part-
I suspect that Tideman(wv) BeatpathWinner are the most popular
rank-counts on EM.
By the way, as I said in a reply to Demorep, I think there's a
question about how truncated rankings should be interpreted. The
voter should be able to indicate whether he means
Any book reviewers on this list ???
Mount Holyoke College Voting Systems Expert Available to Comment on Issues
Related to the Election
SOUTH HADLEY, Mass., Nov. 10 /U.S. Newswire/ -- Douglas J. Amy, a national
expert on voting systems and reform, is available to discuss national voting
Just a friendly reminder of the underlying problem when there are ANY choices.
1. A choice does or does not have simple majority acceptablity (in a simple
YES/NO vote). Obviously, none, 1, 2, or 3 or more will get YES majorities.
YES/NO matrix
2. A choice does or does not beat each other
I noted a few days ago that candidates may die which is one reason to have
YES/NO votes. A real event ---
-
Carnahan Will Remain On Ballot
.c The Associated Press
JEFFERSON CITY, Mo. (AP) - It's too late to remove Gov. Mel Carnahan's name
from the Nov. 7 ballot, despite his death in
Final results of Russia Duma poll for party lists
MOSCOW, Dec 29 (Reuters) - Russia's Central Electoral
Commission on Wednesday released final official results for the
225 seats contested in the December 19 parliamentary election on
the basis of party lists.
The remaining 225 seats in the
A visual aid for the Conditional YES votes method--
Real rank position
12345 Totals
A A1 A2 etc.
B B1 B2 etc.
Cetc.
D
E
Totals
There would be a YES table and a NO table.
There are 2P-1 possible majorities
One way to get an estimate of what is going on with multiple choices
(especially with the amount of cloning) is to combine the highest net wins
choice(s) with the lowest net wins choice(s) repeatedly (canceling out the
internal wins and losses by making the combination).
Example-
Net
30 Nov 1999
To get some more accountability in MMP systems --
Ballot access for candidates only by voter nominating petitions. (i.e. NO
party lists)
A candidate could run in 1 or more districts (i.e. possibly at large)
Voters use Number Votes (1, 2, etc.) for all candidates. (i.e. each voter
Simple Approval Voting has the rather major defect of having a later vote
cancel out an earlier vote.
Real rank order
60 ABC
39 B
1 C
100
B wins (99 votes) using simple AV even though A has a first choice majority.
YES votes could be made conditional.
If an early YES choice does not get a
Bart wrote in part --
Condorcet example:
1) Polls show a low social utility [?] candidate as the likely Condorcet
winner:
45 A(10)B(2) C(0)
11 B(10) A,C(0)
44 C(10)B(2) A(0)
2) The A and C voters realize that they can improve utility expectations
by eliminating B,
Mr. Ossipoff wrote-
What I don't understand is why you didn't run a better candidate,
to run against Hitler, Stalin, Mao Sadaam?
If those are the candidates, then of course one of them should win.
Hopefully the best one. But it's important that people not be cowed
into dumping the one they
Mr. Ossipoff wrote-
I quite agree that relative rank positions aren't Y/N votes.
The advantage of rank balloting is that the election isn't a Y/N
choice: It's a relative choice. Someone has to win, so which
should it be? Relative balloting, because the election is a relative
choice.
---
D- Not
Mr. Carey wrote-
I can't imagine proponents of STV finding a lot of merit in the
"clones" ideas that paird of two preferences have the same order
or both are reversed but it is not that case that one is permuted
and the other isn't.
---
D- In my earlier Re: FPTP family theory, REDLOG
The mind somewhat boggles regarding Condorcet and sincere/insincere votes
(almost as much as the dimpled chads in the Florida punchcards have boggled
the brains of the the entire Florida government since 7 Nov 2000 but ending
with a whimper on 12 Dec 2000 in Bush v. Gore in the U.S. Supreme
A simple p.r method for low tech/ no tech areas (and possibly for so-called
high tech areas)
A. Each voter may vote [X vote] for any legislative body candidate.
B. Each candidate may transfer all or part of the votes that he/she receives
to any other candidate in any district or at
Bart wrote in part-
What might be helpful is examples showing where Droop and Hare each
excel, if possible. I suggest a simple 2-seat election, with as many
candidates as needed to make the point.
Example:
50 ABC
24 BAC
26 CAB
Hare: Quota = 50
A wins first seat; all A votes exhausted.
C wins
On Fri, 17 Sep 1999, Markus Schulze wrote:
Example 1:
There are 120 voters and 4 candidates for 2 seats.
8 voters vote A C B D.
8 voters vote A C D B.
8 voters vote B C A D.
8 voters vote B C D A.
8 voters vote C A B D.
8 voters vote C A D B.
8 voters vote D A B
D- The below was put on the Canada Votes email list
([EMAIL PROTECTED]) on Nov. 29, 1999 by Mr. Frampton (not me).
--
Saturday's election in New Zealand shows just how much -- or perhaps that
should be how little -- ability the voters have to remove an MP under the
Mixed Member Proportional
I return to the 3 clone circular tie example in Supp. 5 but adding the raw
votes--
X Y1Y2Y3 Z HTotNet
X --40404065 185-30
Y160-- 100 10025 285170
Y260 0 --10025 185-30
Y360 0
[EMAIL PROTECTED] wrote in part-
A voting paradox will still exist in several cases in which, at least, the
addition of a close clone will punish its voters.
D- A clone is a clone is a clone to varying degrees in ANY matrix (2 x 2 to N
x N).
Examples
100 AB
0 BA
net 100 AB
99 CD
1 DC
Mr. Layton wrote--
I'm definately beginning to doubt the desirability of approval (vis a vis
IRV) as well. Despite the apparent simplicity of the system, electoral
strategies, polling etc becomes much more of a problem.
---
D- For about the 4th time I note that Approval Voting has the
An example showing the need for a majority YES requirement-
Two major groups split into factions.
An early poll (even before the candidate filing deadline) shows
[brackets] means truncated choices
9 ABC [M=N]
9 ACB [M=N]
9 BCA [M=N]
8 BAC [M=N]
8 CAB [M=N]
8 CBA [M=N]
25 MN
The below shows the obvious defect of requiring more than a Droop/Hare quota
of the total seats in order to get a seat.
NZ's Labour ahead one week out from election-poll
AUCKLAND, Nov 21 (Reuters) - Support for New Zealand's main opposition Labour
Party had surged at the expense of
The Droop ratio approaches the Hare ratio with an increasing number of
seats-
S= Number of Seats, D/H = Droop/Hare ratio (as a percentage)
SD/H (each is little more depending on the total number of votes)
150.00
266.67
375.00
480.00
...
990.00
...
1995.00
For new EM readers (and perhaps even old EM readers who can still learn
something)--
The 3 Matrices
1. Absolute Votes Matrix (for each choice)
Variations
A. YES NO
B. +100 percent to-100 percent (for folks with negative math skills)
C. 100 percent
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