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August 19, 2008 at 20:31:05
We Can Do Better than Instant Runoff Voting by Stephen Unger Page 1 of 2 page(s) |
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We Can Do Better than Instant Runoff Voting 8/19/08
Some well motivated progressives have fallen into a trap while pursuing a solution to the problem of how to support a third-party candidate without being called a "spoiler". They advocate "Instant Runoff Voting" (IRV), which does accomplish the desired purpose in cases where the third-party has no chance to win. But it is fundamentally defective in a number of important ways, including failure to eliminate the spoiler dilemma once the third-party becomes stronger. Fortunately another system, "Approval Voting" (AV), does the job without the problems associated with IRV.
We are all accustomed to "Plurality Voting" (PV), where we cast a vote for a single candidate and the one receiving the most votes wins. A serious problem with PV is that it effectively pressures many people into NOT voting for the candidate they think best represents their views. Suppose, for example, that polls show that the percentages of voters favoring candidates R, D, and G (you might consider these as representing Republican, Democrat, and Green) are 40, 35, and 25, respectively. Assuming that the great majority of G supporters would favor D over R, a large portion of them might conclude that, since G can't win, the best that can be done is to abandon G and vote for D. In our example, this reasoning would lead to a large number of G supporters voting for D instead of G. This, of course, is what happened in 2000, as the great majority of people who thought Ralph Nader was the best candidate voted instead for Al Gore. (As it turned out, it was not enough to elect Gore as half the registered Democrats in Florida did not vote, and over 200,000 of them voted for Bush. Nevertheless, many people blame the 90,000 Florida Nader voters for Gore's defeat, calling Nader a "spoiler".) A parallel situation exists elsewhere in the political spectrum between Republicans and Libertarians. IRV is an attempt to solve this problem.
Under IRV, each voter ranks all the candidate in order of decreasing preference. A candidate receiving a majority of first-place votes is the winner. If nobody receives such a majority, then the candidate with the fewest first-place votes is eliminated from all ballots, and the process is repeated until a winner is found. As an example, consider a 3-candidate election similar to the above example. Suppose the percentages of votes are as shown in Example 1 below, where, e.g., 35 RDG means that 35% of the voters ranked R first, D second, and G third:
Example 1
35 RDG
5 RGD
25 DRG
10 DGR
20 GDR
5 GRD
Since no candidate has a majority of first-place votes (e.g., R has only 40%), the votes for the third-place candidate, G are deleted, converting the votes to
35 RD
5 RD
25 DR
10 DR
20 DR
5 RD
Now D has a majority of first-place votes (55%), and is thereby the winner. So, even tho G had no chance of winning, G-supporters who preferred D to R were able to top-rank their favorite, while still helping their second choice candidate defeat the candidate they most disliked. This sounds great and accounts for support of IRV by some genuine progressives. The bad news is that there are serious problems with the tabulation of IRV ballots, AND that under other equally plausible circumstances, the spoiler effect returns. IRV can also behave strangely under other conditions. The good news is that there is another system, with no tabulation problems, that eliminates the spoiler problem under ALL circumstances. Let's look at some bad news first.
Suppose that, at some future time, support for the G candidate grows to make G a real contender. Assume the following predicted IRV ballot set, which, tho optimistic from the G point of view (the Gs have overtaken the Ds), is certainly plausible.
Example 2
35 RDG
5 RGD
30 GDR
5 GRD
20 DRG
5 DGR
Now, the Ds have the fewest first-place votes and so are eliminated to produce:
35 RG
5 RG
30 GR
5 GR
20 RG
5 GR
And this makes R the winner (60-40). Such a scenario returns G-supporters to the "spoiler" role. If more than 25 of the 35 G-supporters abandoned G and made D their first-place choice, then D would win. Back to square-1 with respect to the lesser evil issue!
There are many other situations in which IRV motivates strange behavior on the part of voters. Rather than discuss these, I will point out another very serious fault of IRV. When PV, or virtually any other voting system considered by voting theorists, is used, tabulating election results can be decentralized. I.e., ballots can be tabulated in the precincts, and appropriate summaries forwarded to a central point for merging to generate the overall results. For IRV, unless some candidate receives a majority of first-place rankings, all ballots must be tabulated together in one central place, and the process is not simple. In the case of a large state, millions of votes would have to be processed centrally for a presidential, gubernatorial, or US Senate race. This opens the door to all sorts of error and fraud in the course of ballot transmission, offers more opportunities for fraud during tabulation (whether done manually or by machine), and makes manual recounts very difficult, time consuming, and costly.
Now for the good news. There is an alternative voting scheme, called "Approval Voting" (AV), which eliminates the spoiler effect in ALL cases, and where vote tabulation can be decentralized and is no more difficult than for PV. Voters simply vote for ALL candidates they approve of; the candidate with the most approval wins. Under this system, one can approve a favorite candidate F while also approving a lesser evil candidate if so desired.
In the Example 1 above, the AV votes might have been as below, where the line "10 RD" means that 10% of the voters approved both R and D:
25 R
10 RD
5 RG
20 D
10 DG
5 DR
20 GD
3 GR
2 G
1 | 2
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| 11 comments |
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About time...
Comment from Ratings: more people started waking up the reality behind the IRV propaganda. Good job Steve. by Clay Shentrup (0 articles, 0 quicklinks, 0 diaries, 39 comments) on Wednesday, Aug 20, 2008 at 1:30:14 AM
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Approval has its own problems
Unfortunately there is no such thing as a perfect voting method -- instant runoff voting (IRV) and approval voting included -- though both are certainly better than our current plurality voting method. Approval voting is certainly a simple reform. It might be worth giving it a try to see how it would work in real-world, high-stakes elections (it has a limited track record, with the former Soviet Union being the only country that has ever tried using it). However, because "approving" a second choice may help defeat the voter's first choice, most experts agree that it is likely to devolve to typical vote-for-one pluarlity voting. Analyses by election methods experts (such as Nicolaus Tideman and James Green-Armytage) have found that Approval voting is more vulnerable to manipulation through strategic voting than just about any other method, so it makes sense to test it out some more in non-governmental organizations first (some that adopted it previously were dissatisfied and have since repealed it). Instant runoff voting, on the other hand, has a successful track record in Australia, Ireland, and now in various U.S. cities, allowing third parties to run active campaigns without being labeled "spoilers." However, it is certainly not a panacea for third parties, as any winner-take-all method (including approval voting) has a tendency to encourage two dominant parties. Only proportional representation, such as with the multi-seat variant of IRV known as "choice voting" or "single transferable voting" can genuinely open the door for third parties. by Terry Bouricius (0 articles, 0 quicklinks, 0 diaries, 5 comments) on Wednesday, Aug 20, 2008 at 7:27:21 PM
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Reply: Terrill Bouricius misleads again
Approval voting is certainly a simple reform. It might be worth giving it a try to see how it would work in real-world, high-stakes elections (it has a limited track record, with the former Soviet Union being the only country that has ever tried using it) It has been extensively studied via computer simulation, which places it far above IRV in its ability to pick satisfying candidates. Here's why those simulations are superior in many ways to anything that could be learned from "real-world, high-stakes elections". However, because "approving" a second choice may help defeat the voter's first choice, most experts agree that it is likely to devolve to typical vote-for-one pluarlity voting. Simply not true. Most mathematically credentialed voting methods experts (e.g. Warren Smith and Steve Brams) consider Approval Voting to be extremely resistant to strategic voting - in fact that is considered to be one of its strong points, along with simplicity. The idea that Approval Voting would degrade to plurality is refuted by the observation that around 90% of voters who supported Nader in 2000 actually voted for someone else. To a rational observer, this reason behind this is obvious. Most of them were concerned that Bush might beat Gore. But if your argument were true, they would have been hesistant to vote for Gore out of concern that such a move might help Gore to defeat Nader. Do I have to explain why this argument makes you sound like such a crack pot? Analyses by election methods experts (such as Nicolaus Tideman and James Green-Armytage) have found that Approval voting is more vulnerable to manipulation through strategic voting than just about any other method, so it makes sense to test it out some more in non-governmental organizations first (some that adopted it previously were dissatisfied and have since repealed it). Tideman's "strategy resistance" measure is severely flawed, as explained here. Simply put, Tideman uses arbitrary measures of strategy resistance, rather than assessing the objective Bayesian regret of various voting systems as the "strategic-ness knob" is turned from 0% to 100%. As for organizations which you say have gotten rid of Approval Voting, there is no evidence to suggest that this had anything to do with the plurality-style voting problem that you mention. In fact the two examples I'm aware of, the IEEE and Dartmouth University, both reverted back to plurality voting. Faced with similar charges by Terrill's partner in crime, Rob Richie of FairVote, Robert Norman (a Dartmouth emeritus professor of mathematics, and Approval Voting advocate) says: Robert Z. Norman, a Dartmouth professor emeritus of mathematics and an Approval Voting advocate, does not believe this had anything to do with problems with Approval Voting. He says: There's a moral here. Richie, Bouricius, and many other IRV supporters will say absolutely anything, without regard to truth. Instant runoff voting, on the other hand, has a successful track record in Australia, Ireland, and now in various U.S. cities, allowing third parties to run active campaigns without being labeled "spoilers." IRV reduces the probability that a third party will be a spoiler (though it does not completely prevent it, and does not stop two-party duopoly). If that is your standard of "success", then you have awfully low standards. Score Voting and Approval Voting are much better and simpler. However, it is certainly not a panacea for third parties, as any winner-take-all method (including approval voting) has a tendency to encourage two dominant parties. False. There is absolutely no aspect of Approval Voting that makes it conducive to a two-party dominated government, because it never punishes a voter for supporting all candidates he likes more than his most strategic pick. It passes the "Favorite Betrayal Criterion", unlike IRV. And might I add that you are demonstrably wrong considering that most of the 27 countries with a genuine (not "instant") runoff have escaped duopoly. These are things I've pointed out to you many many times, so I see these arguments from you as very disingenuous. Only proportional representation, such as with the multi-seat variant of IRV known as "choice voting" or "single transferable voting" can genuinely open the door for third parties. That's simply not true, for reasons I've outlined above. Also, if you want to have proportional representation in America, you most likely will have to first get Score Voting or Approval Voting in order to break up the duopoly and get some candidates into office who will work to get rid of laws and other impediments to proportional representation. IRV can't do that. Now let the world acknowledge the deception and outright lies of Terrill Bouricius. Clay Shentrup by Clay Shentrup (0 articles, 0 quicklinks, 0 diaries, 39 comments) on Friday, Aug 22, 2008 at 12:19:14 AM
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Response to Comment of Terry Bouricius
I agree with Mr. Bouricius that a proportional representation system would be better than our winner-take-all system. It would not only, as he says, be more conducive to the election of representatives of more parties, representing a broader range of views, but it would also make the pesky redistricting issue less critical. I also agree that no voting method is perfect. by Stephen Unger (6 articles, 0 quicklinks, 0 diaries, 10 comments [1 recommended, 0 rejected]) on Thursday, Aug 21, 2008 at 5:22:36 PM
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Reply: Central Tabulation of Votes
I would agree the central tabulation is a minor security concern, yet indeed a concern nonetheless. However, that is not that fault of the voting system, as IRV could be counted by hand, and also as voting machine vendors get on board with more updates to equipment, this will work itself out in the not too distant future. Are we really going to let private corporations dictate what election reforms we can have, or allow Stephen to paint the voting system as responsible for their not very adaptable products? That seems like a very unfair assessment. by Anthony Lorenzo (0 articles, 0 quicklinks, 0 diaries, 3 comments) on Thursday, Aug 21, 2008 at 5:56:19 PM
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Single-member districts with winner-take-all is problem
Granted, Instant Runoff Voting (IRV) is my most-preferred SINGLE-MEMBER election system, the reality is that single-member election systems can't possibly produce fully representative (of the voters) outcomes. Not only is approval voting inferior, as it leads to the same plurality outcome of non-majority winners, it is also a single-member election system. Single-member systems lead to a two party system and serious lack of diversity for the voters. I agree with Terrill that approval is not really taken seriously by anyone other than a few mathematicians. In fact, I find it much less appealing than Condorcet and Instant Runoff Voting, as it introduces some real problems to the system such as failing on the majority criterion in many situations with 3 or more candidates. I would accept at least range voting is better than approval voting, not that relative to IRV I find range a better system, however IRV is much better in my opinion than approval. If approval voting were such a great reform, why doesn't any government use it? Also, who has endorsed it? What parties? by Anthony Lorenzo (0 articles, 0 quicklinks, 0 diaries, 3 comments) on Thursday, Aug 21, 2008 at 5:52:18 PM
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Single-member districts with winner-take-all is problem
Granted, Instant Runoff Voting (IRV) is my most-preferred SINGLE-MEMBER election system, the reality is that single-member election systems can't possibly produce fully representative (of the voters) outcomes. Not only is approval voting inferior, as it leads to the same plurality outcome of non-majority winners, it is also a single-member election system. Single-member systems lead to a two party system and serious lack of diversity for the voters. I agree with Terrill that approval is not really taken seriously by anyone other than a few mathematicians. In fact, I find it much less appealing than Condorcet and Instant Runoff Voting, as it introduces some real problems to the system such as failing on the majority criterion in many situations with 3 or more candidates. I would accept at least range voting is better than approval voting, not that relative to IRV I find range a better system, however IRV is much better in my opinion than approval. If approval voting were such a great reform, why doesn't any government in the United States use it? Also, who has endorsed it? What parties? by Anthony Lorenzo (0 articles, 0 quicklinks, 0 diaries, 3 comments) on Thursday, Aug 21, 2008 at 5:52:39 PM
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Reply: Approval and 2PD
Anthony, Can you explain what makes you think that Approval Voting would maintain two-party domination? It passes the Favorite Betrayal Criterion, so I don't see why that would happen. Consider that about 24 of the 27 countries that use a genuine (not "instant") runoff have escaped two-party duopoly in their single-winner elections. Also, can you explain why you believe Approval Voting would behave like plurality voting in practice? All the Approval Voting data I've seen shows that not to be true. For instance, say I was a voter in the Democratic primary, who preferred Gravel > Kucinich > Dodd > Richardson > Biden > Obama > Edwards > Clinton and I actually voted for Obama in the primary (because I was being strategic and didn't want to throw away my vote on a candidate I liked more than Obama, but who I knew couldn't win). If I could go back in time with Approval Voting and continue to vote for more candidates, I'd then vote for Gravel, Kucinich, Dodd, Richardson, and Biden - not just Obama. by Clay Shentrup (0 articles, 0 quicklinks, 0 diaries, 39 comments) on Friday, Aug 22, 2008 at 12:27:56 AM
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Central Tabulation is an Invitation to Disaster
Mr. Lorenzo has apparently misunderstood my point. Central tabulation is a major problem, not because of difficulties with current e-voting systems, but rather because it does not allow us to partition the tabulation problem into a set of simple tasks that can be handled locally with the results easily merged in a public manner, as can be done with all competing voting systems. Hand-counting is a manageable problem for a few thousand votes (most US precincts don't exceed about a thousand votes.) There is no way to verify the veracity of machine tabulation of hundreds of thousands much less millions of IRV votes. This is in addition to opportunities for fraud in the transmission of results from precincts to the tabulation center. by Stephen Unger (6 articles, 0 quicklinks, 0 diaries, 10 comments [1 recommended, 0 rejected]) on Thursday, Aug 21, 2008 at 7:36:37 PM
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Appealing to Authorities
I fully agree with Mr. Lorenzo that a proportional representation system is what we really need. But until we get there, we are stuck with single-winner elections and should try to get the best possible voting system for this. by Stephen Unger (6 articles, 0 quicklinks, 0 diaries, 10 comments [1 recommended, 0 rejected]) on Thursday, Aug 21, 2008 at 8:05:04 PM
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Perhaps examples could be made simplier ?
I already agree with your conclusions due to having read about both methods already. However, I don't think your examples were obvious at first sight. In the first election, the votes might be: If the GP supporters were smart, they would have voted D>G>R (i.e. pretended to be Democrat supporters). This would mean that the Democrat candidate would win 60% of the votes in the first round and thus win the seat. However, that means they are being forced to be dishonest about what party they actually support. But, wasn't that the whole point of bring in IRV, to allow people to vote honestly. IRV eliminates the spoiler problem in some instances, but once the 3rd party candidate gets popular (so he has a chance of making it to the top-2, suddenly the spoiler problem reappears). by Raph Frank (0 articles, 0 quicklinks, 0 diaries, 1 comments) on Friday, Aug 22, 2008 at 5:22:48 PM
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