... As I was saying, vote only for A, if you're letting them flip coins. ... For each of the 8 equiprobable ways that those 3 people could all vote, determine...
MIKE OSSIPOFF
nkklrp@...
Mar 1, 2001 9:51 pm
6727
I might have said "Add the expressions and solve for Ub", when I meant to say "Add the expressions for the 8 situations, set their sum equal to zero, and solve...
MIKE OSSIPOFF
nkklrp@...
Mar 1, 2001 10:17 pm
6728
I have ambiguous feelings about my two favorite methods. Sometimes it seems like Condorcet is over-elaborate, making fine distinctions between the deck chairs...
Forest Simmons
fsimmons@...
Mar 1, 2001 10:49 pm
6729
... Ultra: Great! Method II would be easy to apply to Craig's example (utilities of 100, 25, 20, and 0, repectively, for candidates A, B, C, D, having...
Ultra Runner
UltraRunners@...
Mar 1, 2001 11:09 pm
6730
On Tues. eve., suitably enfeebled, I turned to Richard's Approval Strategy puzzle and argued basically as Mike suggests. Voter #4 should vote both A and B if...
Joe Weinstein
jweins123@...
Mar 2, 2001 12:49 am
6731
... Looking at just the first for now... ... Why not allow them to (if they want to) make an entire ranking, and then draw a line between the approved and...
Martin Harper
mcnh2@...
Mar 2, 2001 1:25 am
6732
Now that we've calculated the raw probabilities, what do I mean by "strategy matrix" and all those delta Ps? With the probabilities known for each outcome, we...
Richard Moore
rmoore4@...
Mar 2, 2001 4:06 am
6733
I am posting this in two parts. The first part discusses the puzzle's solution and the second part uses the problem as the basis for an example of what I...
Richard Moore
rmoore4@...
Mar 2, 2001 4:07 am
6734
... I'm sorry - Hare Quota? eg; 200 voters, 3 candidates to be elected (x stands for "the rest of the field"); 69 A>B>C 69 D>B>C 29 B>x>C 33 C>x The Hare quota...
LAYTON Craig
Craig.LAYTON@...
Mar 2, 2001 4:37 am
6735
... I also think it is good. My only concern is the complexity of the instructions, and the requirement to truncate your vote. I can imagine a great deal of...
LAYTON Craig
Craig.LAYTON@...
Mar 2, 2001 5:26 am
6736
Thanks to Martin Harper and Craig Layton for valuable critiques. In particular, Martin is right. The voters should be able to make distinctions among their...
Forest Simmons
fsimmons@...
Mar 2, 2001 4:31 pm
6737
One other thing. In a zero information election, start by expressing your utilities in binary rounded to three binary digits, this takes you directly to the...
Forest Simmons
fsimmons@...
Mar 2, 2001 7:47 pm
6738
For this zero information direct utility conversion to work best, all utilities should be between zero and .99, and after the conversion to binary, truncate to...
Forest Simmons
fsimmons@...
Mar 2, 2001 9:58 pm
6739
... Oops, this means that there's a whopping difference between 100 and 011, merely because of an artifact of the representation. That is, if you dropped ABC...
Tony Simmons
asimmons@...
Mar 3, 2001 1:57 am
6740
If you solve circular ties by Approval, where candidates whom you've ranked get an Approval vote from you, then you have to worry about strategy, how far to...
MIKE OSSIPOFF
nkklrp@...
Mar 3, 2001 4:12 am
6741
I would like to make a suggestion for a multiple winner proportional method that is as good or better than any I have heard proposed so far, short of the...
Forest Simmons
fsimmons@...
Mar 3, 2001 4:41 am
6742
Once again --- on the addition (or subtraction) of alternatives and resulting math complications. N1 A>B N2 B>A N1 or N2 is a majority. Choice C comes along....
DEMOREP1@...
Mar 3, 2001 7:35 pm
6743
... But this isn't a zero-info election. We know everyone's sincere rankings, and have probability information about how many candidates each person will vote...
MIKE OSSIPOFF
nkklrp@...
Mar 3, 2001 9:49 pm
6744
[The following message was composed and sent Fri 2 March 2001 approx 6 PM Pacific Standard Time. Hours later my Hotmail postmaster indicated - without giving...
Joe Weinstein
jweins123@...
Mar 3, 2001 9:53 pm
6745
Joe's objection to Condorcet, which I've quoted below, is something that's been much discussed here, on numerous occasions, since the inception of the EM list....
MIKE OSSIPOFF
nkklrp@...
Mar 3, 2001 10:21 pm
6746
... You're right that it isn't a zero-info situation. But the probabilities are so evenly distributed that it resembles one. I do think that the reason this...
Richard Moore
rmoore4@...
Mar 4, 2001 3:02 am
6747
... I think so, though I admit that I'm new to Approval with very few voters. Yes, it's the way your votes affect eachother's effects that makes Pij more...
MIKE OSSIPOFF
nkklrp@...
Mar 4, 2001 5:03 am
6748
Say that, instead of 3 voters, there are 4: A, B, C, & D. Say we want to determine whether or not to vote for B. If we're voting for C, then voting for B just...
MIKE OSSIPOFF
nkklrp@...
Mar 4, 2001 9:35 pm
6749
This part of a message that I sent before my 2 other "few voters" messages. None of them were initially posted, because I accidentally somehow got removed from...
MIKE OSSIPOFF
nkklrp@...
Mar 4, 2001 10:22 pm
6750
With nonzero-info, few voters, and just 3 candidates, there's still no problem, because it's assured that we're voting for A & not for C. Say there are 4...
MIKE OSSIPOFF
nkklrp@...
Mar 4, 2001 10:23 pm
6751
... (1) Is it a problem that can be solved? (2) Is it really a problem at all? The example, because of its simplicity, highlights the difficulty of resolving...
Tony Simmons
asimmons@...
Mar 4, 2001 11:00 pm
6752
- - - - - - - - - - - - - - - - - - - - - - - - - - 03/05/01 Layton wrote: I'm sorry - Hare Quota? Don: You should be sorry - writing such a poor letter,...
I Like Irving
donald@...
Mar 5, 2001 12:52 pm
6753
... Then can you explain the following? I posted this at the end of my previous message: "If we replace voters 1, 2, and 3 with three groups of 1000 voters ...
Richard Moore
rmoore4@...
Mar 5, 2001 5:45 pm
6754
Both yield equal proportionality - Droop yields the better degree of _fairness_ and strategy-proofness because Droop is the natural quota even given a Hare...
David Catchpole
s349436@...
Mar 5, 2001 10:06 pm
6755
Craig, thanks for the critique. I mentioned in one posting that I owed Joe W., Bart I., and Martin H. for certain insights that led to the need for (and...
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