Mathematicians: Elections Flawed 752
Nader-licious writes "Science News Online reports: 'With recent reports of malfunctioning voter machines and uncounted votes during primaries in Florida, Maryland, and elsewhere, reformers are once again clamoring for extensive changes. But while attention is focused on these familiar irregularities, a much more serious problem is being neglected: the fundamental flaws of the voting procedure itself. Mathematics are shedding light on questions about how well different voting procedures capture the will of the voters.' The verdict: the U.S. system might be the worst of the lot."
My view on "instant runoff" (Score:5, Interesting)
I'm an Australian, and we use the "instant runoff" system described in the article. My view on it is that rather than putting the most popular candidate into office, it keeps the least popular candidates out of office.
There is a problem that the article neglected to mention - "how to vote" cards. Each candidate will generally recommend how they think people should vote - themselves first, naturally. The same sheep mentality that leads to 70% of the population voting for the same party every election leads to many religiously following these how to vote cards.
The end result is a heap of wheeling and dealing between candidates for these "directed preferences." It even becomes a stick in between elections that the minor parties can use to beat a major party with; in a marginal seat, having a minor party favour you over your primary opposition can be the difference between winning and losing.
The system in Australia (Score:4, Interesting)
What I like about this system is that you are not tying yourself to one candidate. Your vote won't be wasted if you vote #1 for a minority candidate, since if they don't win your next preferences may count. This also means that you're not necessarily guaranteed a win if you're in one of the larger parties.
In the end (generally), you don't get an electorate that's split between people who did and didn't vote for the winner. Since everybody's preferences are taken into account, you get a decent compromise.
The system won't change (Score:5, Interesting)
Neither would be happy if the system would allow more than 2 parties to exist, so neither will ever agree to a substantial reform.
NOT flawed, designed not to capture will (Score:3, Interesting)
1: In proportional representation, there are more likely to be minority parties with elected officials who have extreme/radical viewpoints that are dissimilar to the viewpoints of the "average" voter. Because of the US' election system, no candidate can choose to isolate a significant portion of the population with his views and yet still be elected, to a large "smoothing out" extremist policy. While many feel that this is a bad thing, almost all extremist policy is not realistic to implement, and partial or full implementation of this policy can cause a good bit of damage.
2: In proportional representation, the government is generally unitary in nature, meaning that the entire government is controlled by one party. Although there are more parties beyond the controlling party and another party represented, they still have a HUGE capability to control government policy. If the party in charge changes (and they often change), the entire government policy may change as well. Imagine if a country implemented social security, and then cancelled it 12 years later because the Socialists were replaced by Libertarians!
3: Most other countries do not implement a form of federal government. While this may work for countries where there country is roughly the size of a US region, it makes interests associated with a geographical locale very difficult to achieve. While every vote should be equal (or as equal as possible), the reality is that interests are largely decided by the environment of the voter, and partitioning the environment, and tiering government, means more interests of more voters are going to be met without completely missing the interests of other voters.
4: Most unitary governments do not have a strong set of checks and balances; i.e., judges and execute officials are appointed via the parliament/prime minister, and the prime minister is elected by the parliament. The effect of this election policy is similar again to point 2: a shift in political power can cause a dramatic shift in policy in a short period of time because there are fewer roadblocks between the will of the current parliament and the implementation of that will.
Out of all of the election policies I've studied, IGNORING THE ELECTORAL COLLEGE (because it's a system with several undescribed states, if we were to somehow reach one of those states by having an election of an official "tied" in enough ways we wouldn't know what the next step would be), I prefer the US government system. It's not designed to reflect the will of the people right now. It's designed to reflect the long-term interests of the people after filtering out extreme views. Its perponderance of gridlock has prevented so many stupid things from happening it's totally uncountable. That being said, I like the way Australian government is structured, except I REALLY do not like the idea of being able to put multiple candidates on a list. Political scientist mathemeticians have shown that by being able to list multiple candidates on a piece of paper, it increases the voting power of a citizen to > 1, and they can use these voting lists to perform elaborate tricks to achieve an end result which might not effect the will of the voting populace at all.
Tired of rambling, so I think I'll stop here.
Re:Absolutely wrong. (Score:2, Interesting)
Should democracy be the choice of the majority of people or the majority of land.
But of course a overrepresentation of minorities is important you can't let 5 wolves and 2 sheep vote about what to eat for dinner.
Re:Absolutely wrong. (Score:2, Interesting)
The Constitution does not prohibit the statewide plebiscites for the President, but it does not guarantee them either (ie, I can't think of a Constitutional challenge if a state decided to appoint its electors in some manner besides a statewide vote).
Still, the electoral college seems like exactly the sort of thing the article was talking about: a tool to avoid some of the problems of a plurality vote.
Re:people that care about voting (Score:2, Interesting)
In any event, I refuse to vote for any candidate that does not support term limits.
"Don't complain about your lack of options..." (Score:4, Interesting)
Jokes aside, I once got the American election system explained to me by an American. He said "You take two extremely right wing politicians (from the viewpoint of the rest of the world), one is against the death penalty, and the other is for. Now go vote."
When I've told this back to others, they say that it is pretty much so - it doesn't matter who wins, it is basically the same anyways. Now that is what I'd call a big flaw. Personally, i wouldn't know if it is really that bad, since I'm not from the US.
Also, I'd say the system where money wins (in the sense that only rich or company sponsored ones can afford the campaigns) seems very, very strange and fishy to an outsider. What view or standpoint would any rich or bribed politician share with me?
We Don't Have A Federal Government... (Score:4, Interesting)
Most other countries do not implement a form of federal government.
We (USA) don't have a federal government, at least not in the pure sense of the word. We have a national government.
What's the difference? Whether power resides primarily on the state or national level. A federal government represents and is controlled by a federation of smaller political entities (states, in the USA) where the true power resides. A national government represents and is controlled by a single national political entity that might or might not be comprised of smaller political entities.
The single best way to determine whether you have a federal or national government is where the primary power of taxation resides since a government can do nothing without revenue. The political struggle between the federalists and anti-federalists in the USA centered mainly around this point. Oddly enough, there was the same confusion between the terms "federal" and "national" back then. Apparently, the Federalist marketers got their mits onto that confusion first, because the Federalists were actually for a national government and the Anti-Federalists for a federal government.
Re:The system won't change (Score:5, Interesting)
Neither would be happy if the system would allow more than 2 parties to exist, so neither will ever agree to a substantial reform.
Point being, not only the incumbents, but also the lower echelons grew up with the current system, and they know how to play it - play being exactly the right word. I expect few professional politicians would want to change the system, because the change would cause uncertainty - they would rather be big underdogs in the current system, than risk even the very small danger of becoming bit players in a new one.
A thought on this issue: as you say, neither the Dems nor the Reps would like to see the rise of smaller parties, because this would erode their influence (power base), and they would even (gasp) co-operate to keep the system just the way it is. However, if a party smaller party does grow big enough to be an "annoyance" to the established ones, the one more hurt by the smaller party will bring the issues in this article up - hence this discussion.
For instance: the Dems would be prepared to give the greens say 10 seats in the senate, if the Dems in turn get the presidency - quite a likely situation if the voting procedures are changed as described.
The point to which I have been coming all the while is this: in a one-dimensional political spectrum, the "right" is stereotypically more disciplined than the "left", i.e., they have a stronger belief in law & order, hierarchical systems etc. This means that if there is a small rightist party (e.g. a bunch of neo-nazis by anything but name) in a situation similar to the one in Florida during the last presidential election, their adherents will be more likely to follow the "orders" of the party leadership to vote for Bush rather than their own candidate (because Bush is better than Gore, and their own candidate doesn't have a real chance to win) than their "leftist" counterparts.
This means in turn that the results of the plurality vote in the US is not only the two-party system that we observe, but also a slight shift to the right.
In closing I must say that in my opinion, replacing the plurality vote would be the single biggest step the US could undertake to enhance its political image, pretty much everywhere else in the world.
Re:Absolutely wrong. (Score:2, Interesting)
You are incorrect - we were given an Electoral college because counting a popular vote was considered too difficult to administer in 1776. The Electoral college is very similar to a parliamentary election, in that the Electoral college gets together to decide who becomes president:
"Each state shall appoint, in such manner as the Legislature thereof may direct, a number of electors, equal to the whole number of Senators and Representatives to which the State may be entitled in the Congress: but no Senator or Representative, or person holding an office of trust or profit under the United States, shall be appointed an elector." Art. II, Sec 1 [cornell.edu].
Note that this says nothing about "a state's vote becomes the elector's vote". The state appoints an elector that it thinks will represent its interests ... the elector can then go and vote how he/she pleases.
Counting the popular vote of a handful of electors was considered to be much easier than counting the popular vote of an entire nation ... especially when you consider electronic transmission of county results, or FedEx Overnight service, didn't exist then.
As a result, we've evolved towards the Electoral college we have now. And unfortunately, that has meant Presidential campaigns overwhelmingly focus on "swing states" that are not only close in electoral terms, but also have large populations. Every 4 years, we hear about the Presidential candidates spending lots of time in places like California ... but not too much time spent in places like North Dakota.
Would a pure popular vote be better? Maybe. It certainly would mean that candidates tried to spend more time across more of the nation. If TV stations were required to give free air time, a candidate could have the potential to reach a national audience.
Re:people that care about voting (Score:2, Interesting)
Re:My view on "instant runoff" (Score:1, Interesting)
8 people rank: ABC
5 people rank: BAC
4 people rank: CBA
In IRV, we first look at which candidate has the least first-place votes (C), and eliminate him. This leads to B having 9 votes, and A having 8, so B wins.
But... Now consider that two of the 8 with ABC preferences change their ranking to CAB. So, we have:
6 people rank: ABC
5 people rank: BAC
4 people rank: CBA
2 people rank: CAB
Now, the candidate with the least first-place votes is B, so B is eliminated, and A wins after that elimination 13-4
So, in order to help their candidate win, voters had to use a strategy -- specifically, they were not encouraged to vote their actual preference order.
Also, most people can't completely define their preference order -- even with a small number of candidates.
What's the best type of voting? Approval. It's easy to understand, and it offers every important benefit of IRV without the negative scenario I described above.
Invariably, articles on voting methods always quote Arrow's Theorem, and use it to say: Well, nothing's perfect, but here are some ok voting systems. This implies that those voting systems are equal in their attempts to be the best voting system possible. They are not. IRV is inferior to even our own plurality voting as far as meeting the 7 criteria of Arrow's Theorem. (I believe it meets 4 of the 7, whereas plurality meets 5. Approval meets 6).
Want more proof? Just look at what the real experts in this field (mathematicians and social decision theorists) choose. The MAA has been using approval voting to elect its leaders for many years.
Red5's idea for a perfect voting system. (Score:2, Interesting)
Okay here goes.
1) Rank the candidates in the order of you preference: Nader, Gore, Bush.
2) Count all the first choice votes. Nader: 20 Bush: 42 Gore: 38.
3) Take the one with the lowest number of votes out of the election and recalculate. (Gore: 51 Bush 49).
How does this not meat the criteria? It can't be that easy I must have over looked something I'm sure.
The funny thing is most people I know do this already. They think: I really like candidate C but if A wins I'm leaving the country so I'll just vote for B because I can live with him. This system would just do it for them.
Re:Absolutely wrong. (Score:3, Interesting)
Montana has three electors. Three. That's the least you can possibly have. There are 538 total electoral votes. You need 270 to "win" the Presidency.
Unless it's a god-awful close election, Montana and other small states get ignored, because it's much more effective, politically, to focus on states like California (54 electoral votes), New York (33 electoral votes), Texas (32 electoral votes), and Florida (25 electoral votes).
With those 4 states, you have 144 electoral votes. Just over half of the total you need. Throw in Ohio (21), Illinois (22), and Pennsylvania (23), and you're at 210 electoral votes. 60 shy of what you need, with 7 states.
Get a few other states sewn up, and you're set.
Montana and other rural states get screwed.
The electoral college system should not be used as the end-all, be-all system. We need something that actually works.
Kierthos
Re:Either Mod This Guy Up as Funny... (Score:3, Interesting)
Pardon me, but racist? Kindly explain how you got that from my comment!
Anyway, your response indicates that you judge the success of a political system based on economic results. I must point out that the two are not necessarily related. However, since you're the original poster, I'll play on your playing field.
Yes, China is currently growing very quickly. But keep in mind that it's much easier to achieve a high rate of growth when your productivity is lower (in this case, GDP/population).
China is a totalitarian state (political system) that is beginning to realize that capitalism (economic system) works better than communism (economic system) in the real world. We have yet to see whether the economic freedom the Chinese government is beginning to allow will cause the populace to demand political freedom (some form of representative democracy; a family of political systems) as well.
If the USA is considered to be a political-economic experiment at ~225 years, then the political-economic environment in China right now (~10 years old?) certainly qualifies as an early-stage experiment and any assessment of their ultimate success or failure should be considered to be, at best, a guess.
Also note that I mentioned the Soviet Union in my reply to your post. I don't see you touting their growth rate.
it's voter turnout (Score:2, Interesting)
The question arises who will those third party candidates be? In a world where a third party candidate might win, will the same interesting third party candidates be allowed to run? In such a world, would we not have the same drab candidates in the third parties as in the two parties? When the status quo is really challenges, do we think that the parties will not be given donations to induce a move towards the tradition corporate values?
scary speculation onWe also must ask about bogus third parties. Right now, the two party system keeps the main parties somewhat in check. The third parties can help form issues in the two main parties, but aren't often going to win a major race. This system keeps certain extremely wealthy individuals from directly buying an election. However, if a third party can win, then what is to stop a very rich consortium of corporation from buying a house seat. Set up a party, fund it, advertise and pay people to vote for you candidate. We are talking like 0.5 million for the primary and a few million for the actual election.scary speculation off
I am certainly not saying this does not happen now, but the party system keeps it in check.
Canada! Canada! (Score:3, Interesting)
Why don't you try this with Slashdot POLLS (Score:1, Interesting)
Re:The Us Presidency is a two-turn election (Score:2, Interesting)
That's not what I'm saying at all. The parties have primaries because, under the current electorla methods, they have a much better chance of winning the final election if they only put up one candidate.
If the election methodology was changed so that people could vote for more than one candidate, the stigma and penalty of dividing your vote would be gone.
In short, if the other party could field three candidates on the ballot, and people can vote for as many as they want, you'd be stupid to limit yourself to one candidate. Hence the parties would abolish primaries.
I don't know where you got the idea that the government would mandate and require people to run, because that wasn't in anything I said.
Re:and in other news (Score:2, Interesting)
Re:The system won't change (Score:3, Interesting)
I am aware that the word "socialist" is part of the acronym "NSDAP" - put please don't be bamboozled into believing that that is what they actually were.
That's probably similar to the trend that, any country that puts "Democratic" into its name, likeley isn't. For reference, the old German Democratic Republic.
French election turn out (Score:4, Interesting)
Yet, france had a 70% voter turn out, Far higher then any US elections
Re:Absolutely wrong. (Score:3, Interesting)
That hasn't a damn thing to do with the Electoral College. The Electoral College's size is based on the size of Congress, so each state gets (population / X) + 2 electoral votes.
Currently, the size of the House is capped at 435 by their own decision. This is relatively small enough that the two "bonus" electors states get from having two Senators makes a bit of a difference.
But that 435 cap is artificial at best. Article I says that you simply can't have more than 1 member of the House per 30,000 people. Since our nation's population is pushing 300,000,000, the House could wake up tomorrow and decide that they will have around 10,000 members instead of 435. And when the Electoral College is that large, those two "bonus" votes each state gets would mean squat.
But this is all moot. If the federal constitution wanted simply to protect the less-populous states, then the states would just have a certain number of "votes," which don't require actual electors. Instead, we vote for individual electors on election day.
No, the point of the Electoral College was not only to create a body that decides on the presidency that is independent of Congress but also to keep the presidential constituency a reasonable size. When you only have a few hundred (or even a few thousand) people deciding an election, those voters can do silly little things forgotten about today like "ask questions," "argue with candidates each other" and generally "make an informed decision."
We sure as Hell don't have that today. Today, we have televised debates (television only works one way, remember) where the networks, the parties and the candidates themselves decide what questions will be asked and answered. The main difference between what we "have" today and how the Electoral College was envisioned is the fact that, unlike network employees and party members, the people at the very least get to decide on who decides what to ask.
Oh, and the fact that there are hundreds (potentially thousands) of presidential electors means that us normal voters will find those electors much more accessable than presidential candidates. And with that access, we could have done silly things like "ask questions," et al.
Unfortunately, we currently have electors decided upon by straight party lines, with some states punishing "faithless" electors who don't vote for their party. Because we all know it's far easier for the parties to manipulate a constituency through radio and television than to have to deal with anybody face-to-face.
As for the US Senate, the states decided upon their senators for one big reason: While political issues, political candidates, and even political parties come and go, the state is a constitutional republic, a collection of people choosing to live in a republic under a constitution they approved of themselves. The state governments are designed in such a way that the people feel that their state governments represent them as a whole, not just 50.1% of them. State governments were in charge of deciding upon their US Senators for the same reasons our national government is in charge of deciding on our ambassador to the UN.
But, instead, we have the Seventeenth Amendment which gives much more power to the political parties themselves (how do you get to be "majority leader" without being a member of a political party?) and relegating our 50 constitutional republics to the status of mere lobbyists (literally! [ncsl.org]).
(Gee, why do I remember writing some of this stuff recently? [iwancio2002.org])
In our country only 40% of the voters vote on straight part tickets. If that's not a damning indictment of party politics I don't know what is. So why is it that our "representatives" are so eagar to vote along party lines instead of listening to the real message the voters are trying to tell them?
You don't have to think about the math (Score:2, Interesting)
You just have to remember: "Rank the candidates you know and have opinions about, in order of preference". If you'd only heard of Bush, Gore, and Nader in the last presidential election, you might vote for those three in that order, and then Browne and all the other candidates would be automatically put into a tie for last place.
If you happen to be a trained chicken, you can vote for just one candidate, and it simply works as "I prefer this guy to everyone else", without requiring you to specify what you think of everyone else relative to each other. Condorcet voting would give you the opportunity to express a more complicated vote, but wouldn't make it a requirement.
One thing that stands out ... (Score:3, Interesting)
As the concocted example shows, this is much less likely to occur in a plurality system. In fact, the plurality system actively works against this being the case where there are more than two candidates.
Electoral College (Score:3, Interesting)
The Electoral College was set up to prevent the raw unfiltered will of the populace from ruling. It's purpose is to process and filter the will of the populace. This is a Good Thing(tm). The Electoral College is there for exactly the same reason that a President is being elected to begin with: the US political system is a representative republic, not a direct democracy.
The whims of the poplulace changes daily. A look at pre-election polls over a period of a few weeks demonstrates this. The Electoral College helps filter these mood swings out.
I realize that I am the last living person in the US who still likes the Electoral College, but that does not necessarily make me wrong.
Generally good article, but.... (Score:3, Interesting)
The field is more complicated than that. Saari has made a career out of pushing the Borda count. There are useful applications for it, but I pretty firmly believe public elections are not
It's a pity that Condorcet [wikipedia.org] is ignored here, because he was da man. Condorcet's method kicks butt when compared to Borda and Approval (Approval is simpler to implement, though).
There's a whole bunch of links to articles like this one in the Voting System category [dmoz.org] in Netscape Open Directory.
Rob
Re:The system won't change (Score:3, Interesting)
This measure, which would benefit the Lib-Dems (consistently polling at around 20% but obtaining only 8% of the seats under the first-past-the-post system) was scuppered after Labour unexpectedly won a huge landslide in 1997 and kept a large part of its majority in the subsequent election in 2001. The carrot is still being dangled though..
Brazilian elections (Score:2, Interesting)
In the other hand, the congress elections use the proportionality principle. The number of votes is divided by the number of chairs, and it is the "electoral coefficient" (e.g., 180,000 votes). All the votes are grouped by party (it is possible to vote in the party, or in a candidate from that party). After the elections, each party earns a number of chairs that are distributed in order of votes to its candidates.
With this system, if a candidate makes 1,000,000 votes and the coefficient is 200,000 votes, it brings in another 4 candidates from its party, regardless of their votes. It happened this year in São Paulo, where Enéas Carneiro got over 1.5 million votes and the second place was almost a million votes behind. Enéas elected another 5 or 6 fellows, and one of them became a congressman with less than 300 votes.
Re:French election turn out (Score:2, Interesting)
I was going to mention approval, really ;-) (Score:2, Interesting)
To cast an optimal vote under approval voting, you have to carefully study the polls and figure out how to cast a "strategic" vote.
Let me see if I can turn my scenario into an example (especially considering my correction to the Clinton ranking of Tsongas supporters).
Assume, for starters, that each voter "approves" of his favorite candidate and "disapproves" of the bottom four. Then under approval voting we have the following vote tallies:
18 approve of Tsongas
12 approve of Clinton
10 approve of Brown
9 approve of Kerry
6 approve of Harkin
So, Tsongas wins.
But wait! Everybody else hates Tsongas, so perhaps people who see the polls a week before the election will start approving of more candidates. Perhaps the non-Tsongas supporters will all approve of their two favorite candidates instead. Then we would have:
18 votes for Tsongas
26 votes for Clinton
21 votes for Brown
9 votes for Kerrey
18 votes for Harkin
But wait, why would the Tsongas supporters let that happen? They hate Clinton! So, they see the polls the next day, and decide to approve of their top two candidates two. That brings Kerrey up to 27 votes and puts him in the lead.
So what happens when the next day's polls come out? The 10 wily supporters don't like Kerrey, and would want to at least see their third place choice in the White House, so if they're smart they'll start approving of their third place choice too. That brings Harkin up to 28 votes and puts him (the Condorcet winner) in the lead, in a stable situation.
But man, what mental gymnastics everybody would have to make to get there!
I should point out that if all you want is an approval vote, you could cast one in a complete Condorcet system, by simply casting a "tie" vote ranking all your approved candidates in first place and not voting for anyone else.
How do they count the votes in Finland?
Re:"Don't complain about your lack of options..." (Score:3, Interesting)