Re: [EM] electing a variable number of seats

2011-05-19 Thread Andy Jennings
Isn't Jameson right? In the non-sequential version of RRV, if there are only two seats to be awarded and C gets niether of them, then the sum of the C voter's grades of the elected candidates is zero, which will contribute a huge negative value to the sum of the logs. But if C is given one of

Re: [EM] electing a variable number of seats

2011-05-19 Thread fsimmons
: Re: [EM] electing a variable number of seats To: fsimm...@pcc.edu Cc: election-methods@lists.electorama.com Isn't Jameson right? In the non-sequential version of RRV, if there are only two seats to be awarded and C gets niether of them, then the sum of the C voter's grades of the elected

Re: [EM] electing a variable number of seats

2011-05-18 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Andy, I like the idea of iterating RRV to infinity to find the weights for a weighted voting system. And of course,interpreted stochastically. it also gives another solution to Jobst's consensus challenge. I doubt that it is always the same as the Ultimate Lottery.

Re: [EM] electing a variable number of seats

2011-05-18 Thread fsimmons
Yes, I do think the non-sequential version of RRV for sufficiently large numbers of winners (with repeated wins allowed) is equivalent to the Ultimate Lottery.The Ultimate Lottery is the lottery that maximizes the product of ballot expectations, or equivalently the one that maximizes the sum of

Re: [EM] electing a variable number of seats

2011-05-18 Thread Jameson Quinn
2011/5/18 fsimm...@pcc.edu Yes, I do think the non-sequential version of RRV for sufficiently large numbers of winners (with repeated wins allowed) is equivalent to the Ultimate Lottery. The Ultimate Lottery is the lottery that maximizes the product of ballot expectations, or equivalently

Re: [EM] electing a variable number of seats

2011-05-18 Thread fsimmons
Jameson Quinn wrote ... Wait a minute so under non-sequential RRV, there is no leftover Hare quota of unrepresented voters? If 99 voters vote A100 B99 and one voter votes C100, then C will be in the 2-member parliament? That seems broken. FWS replies: Your question has the same answer

Re: [EM] electing a variable number of seats

2011-05-17 Thread fsimmons
] electing a variable number of seats To: fsimm...@pcc.edu Cc: election-methods@lists.electorama.com Forrest, With this profile, using RRV, Y is elected in round 1 and X is elected in round 2. As such, they will have equal weight. However, we can continue to iterate RRV, without removing

Re: [EM] electing a variable number of seats

2011-05-16 Thread Andy Jennings
Forrest, With this profile, using RRV, Y is elected in round 1 and X is elected in round 2. As such, they will have equal weight. However, we can continue to iterate RRV, without removing these candidates. The more times a candidate is chosen, the more voting weight he will get. The election

Re: [EM] electing a variable number of seats

2011-05-12 Thread fsimmons
If, in addition to allowing the number of seats to vary, you are willing to allow different weights for different seats, then there is another solution: find the best proportional lottery L (e.g. by use of the Ultimate Lottery), and then, instead of using the lottery L to choose one of the

Re: [EM] electing a variable number of seats

2011-05-11 Thread fsimmons
Raph Frank wrote ... On Fri, Feb 18, 2011 at 7:54 AM, Juho Laatu juho4880 at yahoo.co.uk wrote: If you want to keep this property, the approach proposed by Michael Rouse could determine the number of board members. If most votes go to few candidates,

Re: [EM] electing a variable number of seats

2011-02-19 Thread Kristofer Munsterhjelm
Charlie DeTar wrote: Howdy, I'm on the board of a small non-profit, and have been tasked with revising the portion of the bylaws that defines how to elect the board of directors. Having had some exposure to better election methods through a colleague, I'm interested in exploring how we might

Re: [EM] electing a variable number of seats

2011-02-19 Thread Kristofer Munsterhjelm
Brandon Wiley wrote: While I think Range Voting would work great here, if for some reason it doesn't go over (sometimes people think it seems complicated) then Approval Voting would also be very easy to use. Again just rank candidates by number of approvals and take the top X. Both bloc

Re: [EM] electing a variable number of seats

2011-02-19 Thread Andy Jennings
Another way to elect a variable number of seats is to use Monroe's method. Here's the overview for a fixed number of winners, N. Every voter gives every candidate a score on a numeric scale. Then we find the optimal way to choose the N winners AND divide up the voters equally and assign them to

Re: [EM] electing a variable number of seats

2011-02-19 Thread Brandon Wiley
On Sat, Feb 19, 2011 at 5:21 AM, Kristofer Munsterhjelm km-el...@broadpark.no wrote: Brandon Wiley wrote: While I think Range Voting would work great here, if for some reason it doesn't go over (sometimes people think it seems complicated) then Approval Voting would also be very easy to

Re: [EM] electing a variable number of seats

2011-02-19 Thread Andy Jennings
As far as iterative methods go, I like RRV. It seems to be the natural way to extend the divisor methods to work with range-style inputs. But I feel like the combinatorial methods will give better proportionality than iterative methods. If there are lots of candidates, the best four-winner set

Re: [EM] electing a variable number of seats

2011-02-18 Thread Padraig Delgado
see the problem. Paddy. From: Charlie DeTar c...@media.mit.edu To: jgilm...@globalnet.co.uk Cc: election-methods@lists.electorama.com Sent: Fri, 18 February, 2011 0:38:44 Subject: Re: [EM] electing a variable number of seats On 02/17/2011 07:21 PM, James Gilmour

Re: [EM] electing a variable number of seats

2011-02-18 Thread Raph Frank
On Fri, Feb 18, 2011 at 7:54 AM, Juho Laatu juho4...@yahoo.co.uk wrote: If you want to keep this property, the approach proposed by Michael Rouse could determine the number of board members. If most votes go to few candidates, then there would be 5 members (with different weight). If the

Re: [EM] electing a variable number of seats

2011-02-17 Thread Markus Schulze
Dear Charlie, I recommend that you should use a method to create a proportional ranking. A proportional ranking is a complete ranking of all candidates such that, for every possible number M, the first M candidates of this ranking represent the electorate in a manner as proportional as possible.

Re: [EM] electing a variable number of seats

2011-02-17 Thread James Gilmour
Of Charlie DeTar Sent: Thursday, February 17, 2011 3:39 AM To: election-methods@lists.electorama.com Subject: [EM] electing a variable number of seats Howdy, I'm on the board of a small non-profit, and have been tasked with revising the portion of the bylaws that defines how to elect

Re: [EM] electing a variable number of seats

2011-02-17 Thread Charlie DeTar
On 02/17/2011 07:21 PM, James Gilmour wrote: Charlie I see two problems here. 1. You do not give the conditions under which the constitution of this organisation allows the number of board members to be varied. 2. More importantly, someone needs to define the purpose of this election

Re: [EM] electing a variable number of seats

2011-02-16 Thread Michael Rouse
Do you need to give everyone on the board identical voting power? If not, a proxy method (where each board member's voting power is directly related to how many votes he or she received) might work. Candidate A might have twice the voting power of Candidate B, who might have 30 percent more

Re: [EM] electing a variable number of seats

2011-02-16 Thread Brandon Wiley
RRV is the Range Voting equivalent of STV: http://rangevoting.org/RRV.html I implemented RRV as a Google Wave gadget back when a few people were using that and did some test elections. In my limited experience with it I found that RRV often gave the same results as simply ranking the candidates