Re: [EM] MinMax(AWP) and Participation

2010-04-24 Thread Markus Schulze
Hallo, the Young method calculates for each candidate A the minimum number of ballots that have to be removed so that candidate A doesn't lose any of its pairwise comparisons. The Young method chooses that candidate for whom this number is the smallest. Also the Young method satisfies

[EM] Why is Germany's electoral system non-monotonic?

2010-04-24 Thread Kathy Dopp
I met someone from Germany today that mentioned that Germany's electoral method (to elect its national legislature) is nonmonotonic because of some interplay between two electoral methods it uses. (at least that's what I understood, this conversation was in a noisy bar/restaurant). Can anyone

Re: [EM] How to fix the flawed Nash equilibrium concept for voting-theory purposes

2010-04-24 Thread Michael Allan
... There can be no useful relation between a model that assumes a maximum of purposive rationality and a reality that demonstrates none. No voter ever attempts to improve her standing in the electoral game, because no single vote ever affects the outcome of a typical election. Warren

[EM] Details of the Enhanced MinMax(AWP) procedure:

2010-04-24 Thread fsimmons
Details of the Enhanced MinMax(AWP) procedure: First form the matrix M whose entry M(x,y) in row x and column y is one if alternative x pairwise beats y, is zero if y beats x, and is 1/2 if x and y are tied and the tie cannot be broken by approval scores. In particular each diagonal entry of M

Re: [EM] How to fix the flawed Nash equilibrium concept for voting-theory purposes

2010-04-24 Thread Jameson Quinn
You for instance, Warren. You are not deluded. There's a difference between realizing your own cognitive biases, and wanting to overcome them. And there's another difference between wanting and actually overcoming them. Just ask any addict. JQ Election-Methods mailing list - see

[EM] Participation

2010-04-24 Thread fsimmons
If I am not mistaken, both Bucklin and MMPO satisfy Perez' weak version of Participation: if the winner changes when a ballot is added, then the old winner was not ranked top on the added ballot. I wonder if some kind of hybrid between these two methods might be better than either without losing

Re: [EM] Participation

2010-04-24 Thread Markus Schulze
Hallo, Bucklin violates mono-add-top. See: http://lists.electorama.com/pipermail/election-methods-electorama.com/2004-April/012752.html Markus Schulze Election-Methods mailing list - see http://electorama.com/em for list info

Re: [EM] Participation

2010-04-24 Thread fsimmons
The other thing I wanted to mention about why Bucklin and MMPO might complement each other is that MMPO potentially makes more use of the information in the lower ranks than Bucklin (especially in a many level cardinal weighted pairwise version), while MMPO tends to encourage equal ranking at

Re: [EM] Participation

2010-04-24 Thread fsimmons
Markus pointed out that Bucklin fails mono add top. Now I see why. If x is ranked second on all of the ballots except the new one, and some other candidate y has exactly 50% first place support, then one ballot of the form xy will change the Bucklin winner from x to y, because now the collapse

Re: [EM] Participation

2010-04-24 Thread fsimmons
I want to thank Markus for keeping me from going too far off track. And the link he gave below to a great message of Chris Benham was valuable for more than showing us that Bucklin violates mono-add-top: Chris also pointed out that WMA (weighted median approval) does satisfy Participation.

Re: [EM] Participation

2010-04-24 Thread Abd ul-Rahman Lomax
At 02:28 PM 4/24/2010, Markus Schulze wrote: Hallo, Bucklin violates mono-add-top. See: http://lists.electorama.com/pipermail/election-methods-electorama.com/2004-April/012752.html The criteria failures of Bucklin don't apply to all Bucklin methods. Woodall's definition of mono-add-top:

Re: [EM] Participation

2010-04-24 Thread Abd ul-Rahman Lomax
At 03:06 PM 4/24/2010, fsimm...@pcc.edu wrote: Markus pointed out that Bucklin fails mono add top. Now I see why. If x is ranked second on all of the ballots except the new one, and some other candidate y has exactly 50% first place support, then one ballot of the form xy will change the

Re: [EM] Participation

2010-04-24 Thread Kevin Venzke
Hi Abd, --- En date de : Sam 24.4.10, Abd ul-Rahman Lomax a...@lomaxdesign.com a écrit : This is what is common with the use of voting systems criteria to study methods. Scenarios are created, sometimes cleverly, to cause a failure of a criterion. Does it matter if those conditions never