Re: [EM] Clone proofing Copeland

2007-01-13 Thread Juho
On Jan 8, 2007, at 19:38 , Chris Benham wrote: > > Juho, > > 26: A>B > 25: C>A > 49: B>C (sincere is B>A or B) > > > Juho wrote: > >> But I'll however mention some random observations that the >> example that you used made me think. >> - One could also claim that these votes are a result of st

Re: [EM] Clone proofing Copeland

2007-01-08 Thread Chris Benham
Juho, 26: A>B 25: C>A 49: B>C (sincere is B>A or B) Juho wrote: >But I'll however mention some random observations that the example >that you used made me think. >- One could also claim that these votes are a result of strategic >voting but in another way than what you described. Instead

Re: [EM] Clone proofing Copeland

2007-01-07 Thread Juho
Ok, the method that I proposed is not as defensive against burial as the original one. My target was just to make the method better with sincere votes (not to seek the ultimate most strategy resistant method). I'll come back with this method and also some other variants when I find some mor

Re: [EM] Clone proofing Copeland

2007-01-06 Thread Chris Benham
Simmons, Forest wrote: >Here's a version that is both clone proof and monotonic: > >The winner is the alternative A with the smallest number of ballots on which >alternatives that beat A pairwise are ranked in first place. [shared first >place slots are counted fractionally] > >That's it. >

Re: [EM] clone proofing Copeland

2007-01-03 Thread Chris Benham
Simmons, Forest wrote: >In view of comments and suggestions from Chris, Warren, Markus, and all (for >which I thank you all warmly) I would like to suggest that this attempt at >clone proofing Copeland be used in a three slot setting. > >I'll restate it for the record: > >For each candidate

Re: [EM] clone proofing Copeland

2007-01-03 Thread Simmons, Forest
In view of comments and suggestions from Chris, Warren, Markus, and all (for which I thank you all warmly) I would like to suggest that this attempt at clone proofing Copeland be used in a three slot setting. I'll restate it for the record: For each candidate X let p(X) be the probability tha

Re: [EM] Clone proofing Copeland

2007-01-02 Thread Brian Olson
If I understand this, it's a Condorcet cycle resolution system based purely on who was 1st pick on each ballot. So, count up the virtual round robin matrix, and count 1st place votes separately for later if needed. It's incomplete. A Condorcet method can elect someone no one put in for fir

Re: [EM] Clone proofing Copeland

2007-01-02 Thread Chris Benham
Juho wrote: >How about "the smallest number of ballots on which some alternative >that beats A pairwise is ranked higher than A"? > >Juho > > No, that would have nothing like the same strength or resistance to Burial. 26: A>B 25: C>A 49: B>C (sincere is B>A or B) The Simmons method narrow

Re: [EM] Clone proofing Copeland

2007-01-01 Thread Chris Benham
[EMAIL PROTECTED] wrote: Chris Benham wrote: I'm happy with its performance in this old example: 101: A 001: B>A 101: C>B It easily elects A. Schulze (like the other Winning Votes "defeat dropper" methods) elects B. It meets my "No Zero-Information Strategy" criterion, which m

Re: [EM] Clone proofing Copeland

2007-01-01 Thread mrouse1
Chris Benham wrote: > I'm happy with its performance in this old example: > > 101: A > 001: B>A > 101: C>B > > It easily elects A. Schulze (like the other Winning Votes "defeat dropper" methods) elects B. > > It meets my "No Zero-Information Strategy" criterion, which means that the voter with no

Re: [EM] Clone proofing Copeland

2006-12-31 Thread Juho
How about "the smallest number of ballots on which some alternative that beats A pairwise is ranked higher than A"? Juho On Dec 31, 2006, at 3:52 , Simmons, Forest wrote: > Here's a version that is both clone proof and monotonic: > > The winner is the alternative A with the smallest number o

Re: [EM] Clone proofing Copeland

2006-12-31 Thread Markus Schulze
Dear Forest Simmons, you wrote (30 Dec 2006): > Here's a version that is both clone proof and monotonic: > > The winner is the alternative A with the smallest number > of ballots on which alternatives that beat A pairwise are > ranked in first place. [shared first place slots are counted > fracti

Re: [EM] Clone proofing Copeland

2006-12-31 Thread Chris Benham
Simmons, Forest wrote: Here's a version that is both clone proof and monotonic: The winner is the alternative A with the smallest number of ballots on which alternatives that beat A pairwise are ranked in first place. [shared first place slots are counted fractionally] That's it. This met

Re: [EM] Clone proofing Copeland

2006-12-30 Thread Simmons, Forest
Here's a version that is both clone proof and monotonic: The winner is the alternative A with the smallest number of ballots on which alternatives that beat A pairwise are ranked in first place. [shared first place slots are counted fractionally] That's it. This method satisfies the Smith C

[EM] Clone Proofing Copeland

2006-12-29 Thread Simmons, Forest
Here's an idea for clone proofing Copeland: 1. First (as in Copeland) compute the pairwise win/lose matrix, which has a +1, -1, or zero in row i column j according as alternative i beats, loses to, or ties with candidate j in the (i, j) pairwise comparison. 2. Then (unlike Copeland) mul