Re: [EM] I need an example of Condorcet method being subjected to the spoiler effect if any

2010-01-23 Thread Kristofer Munsterhjelm
Juho wrote: Many of the criteria would be nice to have. One must however remember that often they have two sides. Winning something in some area may mean losing something in another area (e.g. the LNH property of IRV has been discussed widely on this list recently) especially when trying to

Re: [EM] I need an example of Condorcet method being subjected to the spoiler effect if any

2010-01-23 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: Thanks Kristofer for the explanations. Do you know a good place that discusses the Ranked Pairs method of resolving cycles, or all the methods of resolving cycles? I would still like an example of a spoiler in Condorcet no matter how unlikely if possible. Thank you.

Re: [EM] I need an example of Condorcet method being subjected to the spoiler effect if any

2010-01-23 Thread Kristofer Munsterhjelm
Juho wrote: On Jan 22, 2010, at 12:05 AM, Kristofer Munsterhjelm wrote: Jonathan Lundell wrote: In that case it might be a good starting point to define spoiler, so we know what we've found when we find it. What's an example of an IRV spoiler who's not a pretty strong candidate? A very

Re: [EM] IRV vs Plurality (back to the pile count controversy)

2010-01-23 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: James, Your formulas below are only correct in the case that voters are allowed to rank all the candidates who run for an election contest. That may be true in Australia, but is not true in the US where typically voters are allowed to rank up to only three candidates. As a

Re: [EM] I need an example of Condorcet method being subjected

2010-01-23 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: Jonathan, Monotonicity is a mathematical concept that is fairly simple to describe. There is non-decreasing monotonicity, strictly increasing monotonicity, non-increasing monotonicity, etc. Arrow describes the concept re. elections fairly well in one of his fairness

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-03 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: On Feb 2, 2010, at 2:28 PM, robert bristow-johnson wrote: Warren tells me that C-1 SUM{ C!/n! } n=1 has a closed form, but didn't tell me what it is. does someone have the closed form for it? i fiddled with it a little, and i can certainly see

Re: [EM] IRV ballot pile count (proof of closed form)

2010-02-04 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: People on this list seem to still be sending around their incorrect or incomplete formulas for the number of possible rank orders for rank order ballots. This number BTW does *not* correspond to the number of piles needed to count IRV which is a lesser number but does

[EM] A possible solution to SNTV vote-splitting

2010-02-08 Thread Kristofer Munsterhjelm
One problem of SNTV (which is monotone), even the cumulative redistributing version I showed earlier, is that voters can spread their support too thin. This corresponds Plurality's infamous vote-splitting feature, and shouldn't be very surprising, given that SNTV is basically multiwinner

Re: [EM] Bayesian Regret analysis of Bucklin, Top-Two-Runoff, and other methods

2010-02-08 Thread Kristofer Munsterhjelm
Abd ul-Rahman Lomax wrote: Various factors that affect real elections have been neglected in the simulations which have been done to compare performance of various voting systems. The analysis which has been done, so far, is quite valuable and represents the best data we have on voting system

Re: [EM] A possible solution to SNTV vote-splitting

2010-02-09 Thread Kristofer Munsterhjelm
Raph Frank wrote: On Mon, Feb 8, 2010 at 3:23 PM, Kristofer Munsterhjelm km-el...@broadpark.no wrote: So why not have the method devise its own strategy? This is what PR-STV was designed to do. The trick, of course, is to have the strategy transformation preserve monotonicity. Well

[EM] Monotonicity failure in SNTV DSV without diminuation

2010-02-14 Thread Kristofer Munsterhjelm
I have found a monotonicity problem in my Cumulative SNTV-DSV idea, albeit the one without reweighting. Consider this simple example: A1 A2 A3 B1 B2 B3 (a-voters) 67: 10 8 8 1 1 0power: 28 (b-voters) 33: 1 1 0 10 8 8power: 28

Re: [EM] good method ? was IRV ballot pile count (proof of closed form)

2010-02-15 Thread Kristofer Munsterhjelm
Jonathan Lundell wrote: On Feb 14, 2010, at 4:46 PM, Abd ul-Rahman Lomax wrote: We may disagree with the counting method that is applied when 35:A 32:BC 33:C occurs, but it seems very clear that the Condorcet winner in this case is C, as you seem to agree with me in this case. Yes. The A

[EM] Divisor-based diminuation doesn't solve monotonicity problem in SNTV DSV.

2010-02-17 Thread Kristofer Munsterhjelm
In a previous post, I showed how my DSV version of SNTV, based on cumulative votes, could paint itself into a nonmonotonic corner. I said that this happened because there was no diminuation, so selecting better candidates led to one of them having an excess, and therefore, a candidate that was

Re: [EM] Market-Based multiwinner system II

2010-02-18 Thread Kristofer Munsterhjelm
Warren Smith wrote: Here's a different rule set which might be better for the internet age. It pretty much depends on modern technology (fortunately, or not). W-winner election with C candidates, 0WC. We assume there is a public bulletin board on which the total for each candidate is

Re: [EM] Market based voting paradigm. Revolutionary(?) design idea for multiwinner election schemes.

2010-02-19 Thread Kristofer Munsterhjelm
Warren Smith wrote: A preliminary page on this now at http://rangevoting.org/MarketBasedVoting.html Insights please... One possible problem of the market paradigm is this: in a market, there are buyers and sellers. The market finds a clearing price so that supply balances demand. While the

[EM] Simple monotonicity question

2010-02-20 Thread Kristofer Munsterhjelm
Does nonmonotonicity in three-candidate IRV only happen when the Condorcet winner is eliminated? More generally, does a candidate-elimination method have to be able to eliminate the Condorcet winner in a three-candidate scenario in order to be nonmonotonic with only three candidates?

Re: [EM] Simple monotonicity question

2010-02-20 Thread Kristofer Munsterhjelm
Juho wrote: does a candidate-elimination method have to be able to eliminate the Condorcet winner in a three-candidate scenario in order to be nonmonotonic with only three candidates? I'm not quite sure what the intended question is but isn't it enough to eliminate the candidate with most

Re: [EM] Burlington Vermont repeals IRV 52% to 48%

2010-03-02 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: Well, that's sad. Even with a sorta narrow victory the anti-IRVers will swagger down Church Street like they own the place. We will now all accept that God instituted the traditional ballot for use forever and that a 40% Plurality is a winner. It would have

Re: [EM] Burlington Vermont repeals IRV 52% to 48%

2010-03-06 Thread Kristofer Munsterhjelm
Dave Ketchum wrote: On Mar 5, 2010, at 8:34 PM, robert bristow-johnson wrote: On Mar 5, 2010, at 8:17 PM, Dave Ketchum wrote: On Mar 4, 2010, at 1:04 AM, robert bristow-johnson wrote: ... so, i'm for Condorcet too. i am sorta agnostic about what to do about a cycle (because i really doubt

Re: [EM] Burlington Vermont repeals IRV 52% to 48%

2010-03-10 Thread Kristofer Munsterhjelm
Chris Benham wrote: Kristofer Munsterhjelm wrote (6 March 2010): Another benefit to Ranked Pairs is that you don't have to confuse matters with WV versus Margins. snip Kristofer, Why is that?! That certainly is a benefit of Smith//Approval. It's not the only method where you don't

Re: [EM] Smith, FPP fails Minimal Defense and Clone-Winner

2010-03-10 Thread Kristofer Munsterhjelm
Juho wrote: On Mar 10, 2010, at 7:08 AM, robert bristow-johnson wrote: so, keeping RP, Schulze in mind for later, what would be a good scheme for resolving cycles by use of elimination of candidates? what would be a good (that is resistant to more anomalies) and simple method to identify

[EM] A monotonic proportional multiwinner method

2010-03-11 Thread Kristofer Munsterhjelm
I think I have found a multiwinner method that is both monotonic and proportional. I have, at least, found no counterexample. The method achieves monotonicity by cheating about proportionality: instead of strictly adhering to the quota, it determines a divisor and sets up a number of constraints

Re: [EM] Simulating multiwinner goodness

2010-03-11 Thread Kristofer Munsterhjelm
Brian Olson wrote: There was a question on the list a while ago, and skimming to catch up I didn't see a resolution, about what the right way to measure multiwinner result goodness is. [snip] This is sounding a bit like an election method definition, and I expect that this definition of

Re: [EM] Smith, FPP fails Minimal Defense and Clone-Winner

2010-03-11 Thread Kristofer Munsterhjelm
Juho wrote: On Mar 10, 2010, at 7:26 PM, Kristofer Munsterhjelm wrote: Juho wrote: I'm not aware of any sequential candidate elimination based method that I'd be happy to recommend. One can however describe e.g. minmax(margins) in that way. Eliminate the candidate that is worst

Re: [EM] Smith, FPP fails Minimal Defense and Clone-Winner

2010-03-11 Thread Kristofer Munsterhjelm
Raph Frank wrote: On Thu, Mar 11, 2010 at 9:41 PM, Kristofer Munsterhjelm km-el...@broadpark.no wrote: Having just a single from each state may be /too/ centrist, but to pick two senators from each using a proportional ordering might work - as long as it doesn't introduce partisan division

Re: [EM] A monotonic proportional multiwinner method

2010-03-11 Thread Kristofer Munsterhjelm
Warren Smith wrote: Kristofer Munsterhjelm's monotonic proportional multiwinner method -- a few comments (1) wow, very complicated. Interesting, but I certainly do not feel at present that I fully understand it. Alright. If you have any questions, feel free to ask. (2) RRV obeys a

Re: [EM] A monotonic proportional multiwinner method

2010-03-12 Thread Kristofer Munsterhjelm
Raph Frank wrote: On Thu, Mar 11, 2010 at 8:38 PM, Kristofer Munsterhjelm km-el...@broadpark.no wrote: In other words, determine the value of q so that at least one set can pass the combined set of constraints (at least round(V_i / q) of the candidates from coalition i must be in the outcome

Re: [EM] A monotonic proportional multiwinner method

2010-03-14 Thread Kristofer Munsterhjelm
Raph Frank wrote: I wonder if this is equivalent to your method; assign seats to each coalition one at a time, using Sainte-lague, until there is only 1 coalition possible. Let's see if I got this right. Form a sorted list by number of voters, adjusted according to Sainte-Lague. Then go down

Re: [EM] Condorcet How?

2010-03-20 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: On Mar 20, 2010, at 12:08 PM, Dave Ketchum wrote: Counting: Besides the N*N matrix, i dunno why the common layout of the NxN matrix is popularly used. it should be like a triangle, e.g. for the 2009 Burlington election: [snip] It's used to handle equal

Re: [EM] Condorcet How?

2010-03-21 Thread Kristofer Munsterhjelm
Markus Schulze wrote: Hallo, of course, I am leaning towards the Schulze method. This method is by far the most wide-spread Condorcet method. It is used by about 50 organizations with about 100,000 eligible members in total. It has also become very popular among scientists:

Re: [EM] metrics on elections

2010-03-21 Thread Kristofer Munsterhjelm
Stephen Turner wrote: Hello. It's been quite a while since I posted here. I have a question: does anyone have any good pointers to material on metrics on elections? A metric is as usual, and an election would be simply an election profile, that is you have some set S of permitted ballot

Re: [EM] Proportional Representation Systems I'd Support

2010-03-22 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: Upon cursory reflection and in response to my strong opposition to any nonmonotonic method and to any method that fail to treat all voters' votes equally, the only proportional method I know I would support for legislative representation would be the party list system where

[EM] Proportionality-preference tradeoffs

2010-03-22 Thread Kristofer Munsterhjelm
After reading the post on measuring multiwinner goodness (and writing a reply to it), I started to think of how to determine how good the different multiwinner methods actually are. One way to do that is by criterion compliance. But there is another: while proportionality can't be expressed

Re: [EM] A turd by any other name

2010-03-24 Thread Kristofer Munsterhjelm
Brian Olson wrote: Someone needs to tell Thomas Friedman that Alternative Voting (IRV) isn't all it's claimed to be. http://www.nytimes.com/2010/03/24/opinion/24friedman.html It appears that FairVote's strategy is working, for some value of working at least. In so insistently giving the

Re: [EM] Condorcet How?

2010-03-24 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: On Mar 23, 2010, at 9:01 AM, Terry Bouricius wrote: [...] Since the bill, as passed, actually used a top-two contingent system (only the top two initial candidates would advance), the tally would be relatively easy. so the regional venues would report

Re: [EM] Proportional Representation Systems I'd Support

2010-03-24 Thread Kristofer Munsterhjelm
Raph Frank wrote: On Wed, Mar 24, 2010 at 4:01 PM, James Gilmour jgilm...@globalnet.co.uk wrote: No, it's not at all like MMP. In MMP half or more of the members are elected from single-member electoral districts (usually by FPTP). The additional members in MMP are elected by party-list

Re: [EM] Proportional Representation Systems I'd Support

2010-03-26 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: On Thu, Mar 25, 2010 at 3:01 PM, election-methods-requ...@lists.electorama.com wrote: Send Election-Methods mailing list submissions to election-methods@lists.electorama.com From: Kristofer Munsterhjelm km-el...@broadpark.no The general scheme would then be: party

[EM] Multiwinner runoffs (Re: Proportional Representation Systems I'd Support)

2010-03-27 Thread Kristofer Munsterhjelm
Raph Frank wrote: This is less complex, but not as fair as transferring the surpluses. Your first method is more proportional than your second. If what you want is a majoritarian/centrist outcome, use the second. In any case, I think it can be generalized if you have a house-monotone method

[EM] Droop proportionality criterion for multiwinner Approval

2010-03-27 Thread Kristofer Munsterhjelm
How's this for an Approval version of the DPC? If for a given subset S of the candidates, at least p Droop quotas approve of S and there is no greater set that contains S that also is approved by at least p Droop quotas, then if this subset has cardinality f, at least min(p, f) of these

[EM] Median ratings

2010-03-30 Thread Kristofer Munsterhjelm
Hello, Is it possible to make Median Ratings summable? Median Ratings works like this: gather rated ballots, then the winner is the candidate with the greatest median score. Even if it's not a very good method, a way to make it summable would be of interest to me because it would let me

Re: [EM] Condorcet How?

2010-04-09 Thread Kristofer Munsterhjelm
Abd ul-Rahman Lomax wrote: At 05:57 AM 4/8/2010, Raph Frank wrote: On Wed, Apr 7, 2010 at 11:25 PM, Dave Ketchum da...@clarityconnect.com wrote: Write-ins permitted (if few write-ins expected, counters may lump all such as if a single candidate - if assumption correct the count verifies

Re: [EM] MMPO revisited

2010-04-09 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: MMPO minimizes the maximum pairwise opposition, so in some sense tries to minimize the total disappointment that results from the MMPO winner being elected instead of some other candidate. (...) In general no matter who wins, there will be disappointed voters. Why not

Re: [EM] Condorcet How?

2010-04-12 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: i haven't been following closely this example scenario (for some reason they don't seem compelling to me), but i did see WV referred to several times and missed the definition. i can imagine it might stand for West Virginia or Working Voter or Winning Votes or

Re: [EM] How close can we get to the IIAC

2010-04-16 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Schulze's CSSD (Beatpath) method does not satisfy the IIAC, but it does satisfy all of Arrow's other criteria, that is to say all of the reasonable ones plus some others like Clone Independence, Independence from Pareto Dominated Alternatives, etc. We cannot hold the

Re: [EM] How to get closer to the impossible ideal of the IIAC

2010-04-16 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: If we had a method that chose the winner on the basis of all possible candidates, rather than just the actual candidates, then the method would satisfy the IIAC, because any loser that was removed would automatically be replaced with a virtual candidate at the same

Re: [EM] MMPO revisited

2010-04-16 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Kristopher, Thanks for your interest. Yes, MMTD also elects C in your scenario. But that is no problem in the context that I have in mind for MMTD, namely allowing all nominated lotteries into the competition. In this case an obvious lottery to include is (A+B)/2 .

Re: [EM] Paper by Ron Rivest

2010-04-16 Thread Kristofer Munsterhjelm
Markus Schulze wrote: Hallo, here is an interesting paper by Ron Rivest: http://people.csail.mit.edu/rivest/RivestShen-AnOptimalSingleWinnerPreferentialVotingSystemBasedOnGameTheory.pdf He gets to the conclusion that the Schulze method is nearly perfect (page 12). I'm curious now as to how

[EM] Uncovered set methods (Re: How close can we get to the IIAC)

2010-04-18 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Here's a method I proposed a while back that is monotone, clone free, always elects a candidate from the uncovered set, and is independent from candidates that beat the winner, i.e. if a candidate that pairwise beats the winner is removed, the winner still wins: 1.

Re: [EM] How close can we get to the IIAC (= in the absence of cyclic preferences)

2010-04-19 Thread Kristofer Munsterhjelm
Juho wrote: On Apr 16, 2010, at 1:23 AM, fsimm...@pcc.edu wrote: Since the IIAC is out of the question, how close can we get to the IIAC? Independence from Pareto Dominated Alternatives (IPDA) is one tiny step in that direction. Another step might be independence from alternatives that are

Re: [EM] How close can we get to the IIAC (= in the absence of cyclic preferences)

2010-04-19 Thread Kristofer Munsterhjelm
Juho wrote: On Apr 19, 2010, at 10:46 AM, Kristofer Munsterhjelm wrote: The same is true of, for instance, LNHarm. If X is the CW, then if a subset of the voters add Y to the end of their ballots, that won't make X a non-CW. However, it's also possible to show that no matter how

Re: [EM] Classifying 3-cand scenarios. LNHarm methods again.

2010-04-19 Thread Kristofer Munsterhjelm
Kevin Venzke wrote: The Burlington votes are inspiring. I'm amazed at how close the first preference counts were, and that a fourth candidate even got 15%. Unfortunately the resolution is so stereotypical you could think it was contrived to make a point. What worries me is the possibility

Re: [EM] Classifying 3-cand scenarios. LNHarm methods again.

2010-04-19 Thread Kristofer Munsterhjelm
James Gilmour wrote: robert bristow-johnson Sent: Monday, April 19, 2010 4:03 AM I dunno about France, but is that the case in Italy? or Israel? I thought there were a bunch of countries with a half dozen contending parties or more. it looks to me that even the UK has three significant

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

2010-04-19 Thread Kristofer Munsterhjelm
Michael Allan wrote: I think it misses the main point. For your part, you and Raph hope to apply Nash's model within the context of voting. You therefore tweak that context in vitro by adding a little indeterminacy, such that Nash can grapple with it for analytical purposes. Alternatively,

Re: [EM] Paper by Ron Rivest

2010-04-20 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: The Rivest lottery is non-monotone, but here is a monotone, clone independent lottery that always selects from the uncovered set: 1. Let C1 be a candidate chosen by random ballot. If C1 is uncovered, then C1 wins. 2. Else use random ballot to find a candidte C2

Re: [EM] Uncovered set methods (Re: How close can we get to the IIAC)

2010-04-23 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: By the way, (contrary to Marcus' confusion) UncAAO does satisfy Monotonicity, Clone Independence, IDPA, and Independence from Non-Smith Alternatives, as well as the following: 1. It elects the same member of a clone set as the method would when restricted to the clone

Re: [EM] Idea Proposal: Listening Democracy

2010-04-23 Thread Kristofer Munsterhjelm
Andrew Myers wrote: On 7/22/64 2:59 PM, Abd ul-Rahman Lomax wrote: However, I strongly urge people who attempt to analyze the situation and to propose reforms to: 1. Keep it simple. An extraordinarily powerful system for fully proportional representation consisting of a seemingly-simple

Re: [EM] Proportional election method needed for the Czech Green party - Council elections

2010-04-26 Thread Kristofer Munsterhjelm
Peter Zbornik wrote: Hi, I am a member of the Czech Green party, and we are giving our statutes an overhaul. We are a small parliamentary party with only some 2000 members. Lately we have had quite some problems infighting due to the winner-takes-it-all election methods used within the party. I

Re: [EM] Participation

2010-04-26 Thread Kristofer Munsterhjelm
Abd ul-Rahman Lomax wrote: At 11:57 PM 4/24/2010, Kevin Venzke wrote: 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

Re: [EM] Proportional election method needed for the Czech Green party - Council elections

2010-04-26 Thread Kristofer Munsterhjelm
Peter Zbornik wrote: Hi Kristoffer, The election methods you proposed are a great help. Just one clarification in order to avoid misunderstandings: The president and the vice presidents are all members of the board, i.e. you have X board members out of which one is the president, vice

[EM] Most elimination methods based on weighted positional systems are nonmonotone

2010-04-28 Thread Kristofer Munsterhjelm
Consider an elimination method based on a weighted positional system. WLOG, when dealing with three candidates, the weighted positional system can be defined so that the candidate ranked first on a ballot gets one point, the candidate ranked second gets w points, and the candidate ranked last

Re: [EM] VoteFair representation ranking recommended for Czech Green Party

2010-04-29 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: On Apr 29, 2010, at 10:25 AM, Jameson Quinn wrote: STV uses IRV. i thought it was the other way around. no? really, isn't STV the more technical term (that is descriptive of what is happening in those rounds) and IRV or RCV or PV or whatever are the terms

Re: [EM] Proportional election method needed for the Czech Green party - Council elections

2010-05-03 Thread Kristofer Munsterhjelm
Peter Zbornik wrote: Dear all, I am sending a post scriptum to the email below. 1. The conservative method is only interesting if, the unambiguously pre-elected president and vice president(s) are not in the set of proportionally (for instance STV) elected council members. 2. If the

Re: [EM] Proportional election method needed for the Czech Green party - Council elections

2010-05-05 Thread Kristofer Munsterhjelm
Raph Frank wrote: On Wed, May 5, 2010 at 12:08 AM, Juho juho4...@yahoo.co.uk wrote: (I note that Raph Frank proposed also an approach where the election of the last representative would be free of these sex related requirements. That is one way of relieving the proportionality related problems

Re: [EM] piling on against IRV

2010-05-06 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: On May 6, 2010, at 12:01 AM, Dave Ketchum wrote: What could and should be done now is an interesting topic. i found this to be a fascinating solution: http://www.nationalpopularvote.com/ . it doesn't need to amend the U.S. Constitution to abolish electing

Re: [EM] Meta-criteria 6 of 9: Heuristics. #1, simplicity

2010-05-07 Thread Kristofer Munsterhjelm
Juho wrote: One could discuss which rule should apply in those special cases when both criteria can not be met. In order to determine exactly when we have true clones in our hands we would need to have the original votes, and also the preference strengths to know if the candidates are closely

Re: [EM] Meta-criteria 6 of 9: Heuristics. #1, simplicity

2010-05-07 Thread Kristofer Munsterhjelm
Juho wrote: On May 7, 2010, at 7:11 PM, Kristofer Munsterhjelm wrote: Schulze's primary argument is that the use of paths let one make a method that is very close to Minmax, yet is cloneproof and elects from Smith. Thus, if one thinks the Minmax yardstick is a good one, yet that Minmax's

[EM] An Approval variant of M-Set Webster

2010-05-08 Thread Kristofer Munsterhjelm
I just thought of a possible Approval variant of M-Set Webster (my nameless monotone multiwinner method). The only change that is required is the construction of the sets that are used as a basis for the constraints. This change is as follows: Each voter gives one point to every subset of the

Re: [EM] Article: Electoral dysfunction: Why democracy is always unfair (New Scientist)

2010-05-10 Thread Kristofer Munsterhjelm
Peter Zbornik wrote: Article in New Scientist: http://www.newscientist.com/article/mg20627581.400-electoral-dysfunction-why-democracy-is-always-unfair.htm (link from http://www.openstv.org/). I suppose it's good enough for an introductory article, but some of the emphasis seems odd. For

Re: [EM] Scenario where IRV and Asset outperform Condorcet, Range, Bucklin, Approval.

2010-05-12 Thread Kristofer Munsterhjelm
Jameson Quinn wrote: Condorcet winner is M. But if all the RCM voters truncate before M, then M does not beat R and L, so there's two cycles MRCR,LM. Most Condorcet tiebreakers, including Schulze and Minimax, would name RC as the winner. (Of course, if the M voters retaliate in kind, then R

Re: [EM] Scenario where IRV and Asset outperform Condorcet, Range, Bucklin, Approval.

2010-05-12 Thread Kristofer Munsterhjelm
Jameson Quinn wrote: Would DH3-resistant Condorcet methods like Smith,IRV or BTR-IRV also resist the truncation strategy? Smith-IRV would resist the radical center strategy. I'm not familiar with BTR-IRV but it very well may do so too. BTR-IRV is like IRV, but when deciding which

Re: [EM] Scenario where IRV and Asset outperform Condorcet, Range, Bucklin, Approval.

2010-05-13 Thread Kristofer Munsterhjelm
Chris Benham wrote: Kristofer Munsterhjelm wrote (12 May 2010): One idea of mine, although extremely complex, would be to select the two candidates for a runoff by two Condorcet methods - one that's resistant to strategy (like Smith,IRV), and one that's not but provides better results

Re: [EM] Why proportional elections - Power arguments needed (Czech green party)

2010-05-18 Thread Kristofer Munsterhjelm
Peter Zbornik wrote: Dear all, thank you for your help with the election system for the council elections of the green party. I will try to move on with technical testing of Schulze's methods and the specification of the elections to the party lists as soon as time allows. Thanks all for

Re: [EM] A method DNA generator, tester, and fixer

2010-05-18 Thread Kristofer Munsterhjelm
Kevin Venzke wrote: Hello, I've been working on a new method generator/tester/fixer. I did this once before, and my approach is still the same, but now truncation is allowed (instead of strict ranking). The old simulation only defined methods on 8 scenarios, allowing 6561 possible methods. The

Re: [EM] Why proportional elections - Power arguments needed (Czech green party)

2010-05-19 Thread Kristofer Munsterhjelm
Peter Zbornik wrote: Dear Kristoffer, dear readers, Kristofer, you wrote below: A minor opinion within the party might need time to grow, and might in the end turn out to be significant, but using a winner-takes-it-all method quashes such minority opinions before they get the chance.

Re: [EM] Satisfaction Approval Voting - A Better Proportional Representation Electoral Method

2010-05-19 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: I believe that may be the case, because a sentence in the paper says: For example, if a candidate receives 3 votes from bullet voters, 2 votes from voters who approve of two candidates, and 5 votes from voters who approve of three candidates, his or her satisfaction score is

Re: [EM] Satisfaction Approval Voting - A Better Proportional Representation Electoral Method

2010-05-19 Thread Kristofer Munsterhjelm
Kristofer Munsterhjelm wrote: Now, you may say that the second problem is analogous to STV's Woodall vote management (don't vote for a candidate that would otherwise win), I meant, of course, Hylland vote management. Woodall vote management involves prefixing the vote with preferences

Re: [EM] Satisfaction Approval Voting - A Better Proportional Representation Electoral Method

2010-05-20 Thread Kristofer Munsterhjelm
Raph Frank wrote: Proportional Approval voting uses a different satisfaction metric. Each voter is consider to have satisfaction of 1 + 1/2 + 1/3 + + 1/N where N is the number of approved candidates who are elected. Proportional approval voting also uses raw Approval scores instead of

Re: [EM] Satisfaction Approval Voting - A Better Proportional Representation Electoral Method

2010-05-20 Thread Kristofer Munsterhjelm
Jameson Quinn wrote: If you're looking for simple proportional systems, you could look at total representation, where district-based representatives win with a majority, but some extra seats are assigned to the highest-vote-getting losers of underrepresented parties to help balance. I

Re: [EM] Satisfaction Approval Voting - A Better Proportional Representation Electoral Method

2010-05-20 Thread Kristofer Munsterhjelm
Kathy Dopp wrote: Would that system still be additive like SAV is? Not sure how you obtain the satisfaction scores for each possible group of winning candidates or candidate satisfaction scores from voters' satisfaction scores. No, it wouldn't be. As for how the satisfaction scores are

Re: [EM] Why proportional elections - Power arguments needed (Czech green party)

2010-05-22 Thread Kristofer Munsterhjelm
Peter Zbornik wrote: On Wed, May 19, 2010 at 9:43 PM, Kristofer Munsterhjelm km-el...@broadpark.no mailto:km-el...@broadpark.no wrote: I may have given the link before, but I think it's a good graph showing this tradeoff for a council of two candidates: http://munsterhjelm.no

Re: [EM] Satisfaction Approval Voting - A Better Proportional Representation Electoral Method

2010-05-23 Thread Kristofer Munsterhjelm
Raph Frank wrote: On Sat, May 22, 2010 at 11:39 PM, fsimm...@pcc.edu wrote: Satisfaction Approval Voting - A Better Proportional Representation Electoral Method One way to generalize Proportional Approval voting to range ballots is by finding the most natural smooth extension of the function

Re: [EM] Satisfaction Approval Voting - A Better Proportional Representation Electoral Method

2010-05-23 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Satisfaction Approval Voting - A Better Proportional Representation Electoral Method One way to generalize Proportional Approval voting to range ballots is by finding the most natural smooth extension of the function f that takes each natural number n to the sum f(n) =

Re: [EM] How to combine list and candidate ranking based proportionality?

2010-05-23 Thread Kristofer Munsterhjelm
Aaron Armitage wrote: I've considered the question myself, although I've never described my ideas publicly. Now's as good an opportunity as any. [snip] The first way of adding lists to STV is simple: you list your candidates, and last you put a list, which fills out the rest of your

Re: [EM] PAV and risk functions

2010-05-23 Thread Kristofer Munsterhjelm
Peter Zbornik wrote: Dear Kristofer, would the constant relative risk function be of any help for Approval voting? F=( s(1)^(r-1)+...+s(n)^(r-1) ) / (r-1). s(i) is the number of approved council members that are elected, where 1=i=n, n is the number of voters r is a coefficient of risk

Re: [EM] EM] Satisfaction Approval Voting - A Better Proportional Representation Electoral Method

2010-05-25 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Note that the sum 1+1/3+…+1/(2n+1) is the integral (with respect to t) from zero to one of the sum 1+t^2+…+t^(2n), and that this integrand is a finite geometric sum with closed form (1-t^(2n+1))/(1-t^2) . So this is the appropriate integrand for a Sainte-Lague

[EM] Preliminary Range PAV results

2010-05-28 Thread Kristofer Munsterhjelm
Here are the results for Range PAV from my simulator so far. The first number is proportionality (normalized SLI), and the second number is normalized Bayesian regret. Except for the Cardinal-* methods, the scores being used are raw, i.e. not quantized in any way, but since the number of

Re: [EM] How to make summable any method based on range ballots.

2010-05-28 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: How to make summable any method based on range ballots. If no range ballot rates more than one alternative at the top range value, then replace each ballot with the average of all of the ballots that have the same favorite. Otherwise, first split each ballot into n

Re: [EM] Preliminary Range PAV results

2010-05-31 Thread Kristofer Munsterhjelm
Kristofer Munsterhjelm wrote: Here are the results for Range PAV from my simulator so far. (...) It turned out I had been a bit quick at writing that code, and a bug had slipped in. Instead of calculating a voter's satisfaction of having two candidates at rating x and y in the council as f

Re: [EM] Range PAV results

2010-06-02 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Also of note is that even though STV only has access to ordinal information, none of the cardinal methods manage to dominate it. In STV the candidates represent particular voters, and get no additional credit for pleasing some of the other voters. In PAV the voters

Re: [EM] Preliminary Range PAV results

2010-06-06 Thread Kristofer Munsterhjelm
Jameson Quinn wrote: Can you add a range-STV method? This would reweight ballots for elected candidate X by: max(0,(N-D(rN/R))/N) where N is num voters, D is droop quota, r is ballot's range score for X, and R is electorate's range total for X. This should be simple to code, a small variant

Re: [EM] Preliminary Range PAV results

2010-06-08 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Kristofer, How about including Range SAV ? Assume that the range ballots are functions from the set of candidates into the set [0, M], where M is the max possible rating. Then ballot r contributes the following quotient to the total score for subset S of the set of

Re: [EM] Munsterhjelm election sims

2010-06-08 Thread Kristofer Munsterhjelm
Warren Smith wrote: You have to be clearer. E.g. QUOTE If N = total number of voters, then (unless there's a bug somewhere) we get: PA_Linear_Range_STV 0.29813 0.00031 If N = the number of voters voting according to the ballot being reweighted, then the result

Re: [EM] Venzke's election simulations

2010-06-09 Thread Kristofer Munsterhjelm
Jameson Quinn wrote: I haven't seen anyone else argue this, but I've always found taxicab distance more reasonable. Separate issue dimensions add linearly. If somebody's going to put/take $3 in/from my left pocket and $4 in/from my right pocket, that's a total of $7, not $5. One could

Re: [EM] Venzke's election simulations

2010-06-09 Thread Kristofer Munsterhjelm
robert bristow-johnson wrote: On Jun 9, 2010, at 12:42 AM, Warren Smith wrote: 1. I think using utility=-distance is not as realistic as something like utility=1/sqrt(1+distance^2) I claim the latter is more realistic both near 0 distance and near infinite distance. Why would that be? Do

Re: [EM] Fwd: Preliminary Range PAV results

2010-06-11 Thread Kristofer Munsterhjelm
Just a quick reply: Jameson Quinn wrote: Kristofer - have you been able to get results for this formula? I *think* this is the same as my Quadratic Range STV method, but I'm not sure. I have been busy with work and so haven't been able to check if it is indeed the same. The quadratic

Re: [EM] Fwd: Preliminary Range PAV results

2010-06-12 Thread Kristofer Munsterhjelm
Jameson Quinn wrote: I'm resending the message I sent to Kristofer because I think it's generally interesting. I redid the formula for an STV-like Range-based proportional system, and it's actually simpler than my previous (totally broken) formula. When electing candidate A, just multiply all

Re: [EM] A four bit (sixteen slot) range style ballot

2010-06-13 Thread Kristofer Munsterhjelm
Abd ul-Rahman Lomax wrote: At 11:53 AM 6/11/2010, Kevin Venzke wrote: But you say this and then quote Woodall's Majority criterion, which Plurality fails? Plurality allows voters to place a candidate at the top of their preference listings. Does Plurality fail Woodall's Majority Criterion?

Re: [EM] A four bit (sixteen slot) range style ballot

2010-06-13 Thread Kristofer Munsterhjelm
Kristofer Munsterhjelm wrote: If you still think this is just ordinary majority, check http://www.mcdougall.org.uk/VM/ISSUE3/P5.HTM , where Woodall explicitly says that Majority is the two-seat version of the Droop proportionality criterion, which involves sets. Quoting Woodall: As Benham

Re: [EM] A four bit (sixteen slot) range style ballot

2010-06-14 Thread Kristofer Munsterhjelm
Abd ul-Rahman Lomax wrote: At 10:09 AM 6/13/2010, Kevin Venzke wrote: --- En date de : Sam 12.6.10, Abd ul-Rahman Lomax a...@lomaxdesign.com a écrit : Plurality allows voters to place a candidate at the top of their preference listings. That is inadequate to satisfy the criterion, which

Re: [EM] A four bit (sixteen slot) range style ballot

2010-06-14 Thread Kristofer Munsterhjelm
Kevin Venzke wrote: Another thing it occurs to me to note: --- En date de : Lun 14.6.10, Kristofer Munsterhjelm Approval passes ordinary Majority. If a certain candidate (or set) is approved by a majority of the voters, any candidate that has a hope of beating it must also be approved

<    1   2   3   4   5   6   7   8   9   >