Slashdot Mirror


Tweaking The Math Behind Political Representation

mlimber writes "Nature magazine's news section has an interesting story about how the seats in the US House of Representatives should be divided up. The problem is that the population isn't evenly divided by the number of seats in the House (435). So how should one allocate the fractional parts? The current method tends to favor big states, while a recent proposal by a mathematician is for what he calls a 'minimally unfair' allotment. He is predicting 'one person, one vote' challenges on this topic in the near future."

48 of 322 comments (clear)

  1. eh... by Richard.g.k · · Score: 3, Informative

    Is there anything new in this article? people have been complaining about congress seat inequality forever...

    1. Re:eh... by IAmGarethAdams · · Score: 2, Funny

      I just want to know who the one person is who gets the one vote. They're the person I want to find.

  2. They've finally found it! by wpegden · · Score: 5, Insightful

    Once they get this little pesky problem fixed, our government will be awesome!

    1. Re:They've finally found it! by pilgrim23 · · Score: 4, Funny

      "Yes, its just that one thing" - Dogbert

      --
      - Minutus cantorum, minutus balorum, minutus carborata descendum pantorum.
  3. Edelman method = Non starter by Naughty+Bob · · Score: 3, Insightful
    From TFA-

    The method ... doesn't necessarily come up with unique solutions -- there could be many ways to achieve equal 'unfairness'.
    So basically, any re-jigging using this method will arbitrarily (or otherwise) favor one state over another, with no rationale. Additionally, it would likely mire the US electoral process in endless legal challenges. And we can't have that! (waka waka waka)
    --
    "Be light, stinging, insolent and melancholy"
    1. Re:Edelman method = Non starter by Hatta · · Score: 2, Insightful

      As I understand it, it's essentially a rounding problem. So why don't we just give states fractional seats and let their fractional representatives cast fractional votes?

      --
      Give me Classic Slashdot or give me death!
  4. Correction by sharp-bang · · Score: 4, Informative

    The current method doesn't favor big states. FTA, "the current method has an inherent bias towards giving small states a boost up".

    --
    #!
    1. Re:Correction by taniwha · · Score: 3, Informative

      yup - somewhere like Wyoming with a population of 1/453 already gets more representation per person than someone in California (it has about 2/3 or 1/453 of the US population)

    2. Re:Correction by DragonWriter · · Score: 3, Insightful

      The constitution says with the exception of the original 13 colonies, that there will be one representative for thirty thousand people and that each state will have at least one representative.


      No, it doesn't. It says that (except for the period prior to the first Census, for which it spells out exact by-state representation) each state will have a number of representatives assigned in proportion to population based on a census count, except that each state will have at least one representative. It further states that the total number of representatives shall not be greater than 1 for every 30,000 people (that's not that the number will be 1/30,000: if that was the rule, the House would have, based on the 2000 census, 9,381 members — which would certainly reduce the voting-power impact of rounding problems from fractional seats.)

    3. Re:Correction by CodeBuster · · Score: 2, Informative

      That single representative could be quite influential, especially if he was very senior in years of service and was on the important committees compared to 53 more junior members from a larger state. This is why smaller states tend to elect the same guy over and over again because it increases their chances of getting more and better goodies in disproportionate amounts to their actual population or influence. Seniority matters in Congress.

  5. Fixing the wrong problem by jfengel · · Score: 4, Insightful

    The article starts by noting that California dominates the House of Representatives, but this doesn't really change that fact. Tweaking a seat up or down does change things a bit, especially where the electoral college is concerned, but the real problem is gerrymandering. Seats end up being permanently allocated to one party or another, with the incumbent enjoying an immense advantage.

    If you want to fix a problem, come up with a better algorithm for drawing district boundaries. Right now the party in charge DOES use an algorithm, one designed to create the pessimal boundaries that ensure its maximum advantage.

    Of course, there are many such algorithms, and no matter how fair they are the legislature would vote to choose whichever one favors them best.

    1. Re:Fixing the wrong problem by syphax · · Score: 2, Informative


      It's called "the Senate."

      --
      Simple Unexpected Concrete Credible Emotional Stories
    2. Re:Fixing the wrong problem by DragonWriter · · Score: 2, Insightful

      If you want to fix a problem, come up with a better algorithm for drawing district boundaries.


      If you want to fix a problem, design a system where the drawing of district boundaries doesn't matter much instead of one where it does. Its easier to do, for one thing: simply increase the number of seats per district, and adopt a preference voting system that generates proportional results, like STV. This makes it difficult to do much to ensure "safe" seats or enhance partisan advantage by messing with district boundaries.

      Right now the party in charge DOES use an algorithm, one designed to create the pessimal boundaries that ensure its maximum advantage.


      Actually, there are two different things that are frequently done in redistricting: one is carving safe seats to protect incumbents, the other is maximizing seats in which one party has a majority. These are, to an extent, conflicting goals.
  6. Solving the wrong problem by Geoffrey.landis · · Score: 4, Insightful
    Of all the problems in the US electoral system, this is undoubtably the least important.

    A vastly more critical glitch is that it is possible to draw congressional boundaries in such a way as to increase the influence of demographics tending toward electing one party and decrease the influence of the demographics tending toward the other, and the people who have the power to redraw districts barely even bother to hide the fact that they're doing so anymore. Solving that glitch with a means to draw boundaries that is guaranteed to be impartial, so that the elected representatives actually did reflect the preferences of the people electing them-- now that would be a serious improvement to democracy.

    --
    http://www.geoffreylandis.com
    1. Re:Solving the wrong problem by thirty-seven · · Score: 2, Insightful
      To prevent gerrymandering, have independent boundary commissions to redistrict after every census. Make one of their priorities be to keep historic and geographic communities-of-interest together when drawing districts. As a part of this, allow for greater differences between districts' populations (say, up to 15%) in order to allow for nice, neat districts that follow county lines, city limits, or established neighbourhoods in big cities.

      Yes, gerrymandering would be just as technically possible under my proposal as it is under current the U.S. systems, but, in practice, it should eliminate gerrymandering. Other countries that also use first-past-the-post single-member districts, such as Canada and the UK, as the U.S. does, use redistricting schemes very similar to the one I described, and they do not have gerrymandering.

      For example, here are interactive maps of the electoral districts in southwestern Ontario and Toronto, created using a system very much like the one I described. They are typical.

      --

      Atheism is a religion to the same extent that not collecting stamps is a hobby.

    2. Re:Solving the wrong problem by jsprat · · Score: 4, Informative

      (...) they would by definition be reflecting the people who voted for them.

      Not necessarily. Gerrymandering is the art of changing the boundaries to gain an advantage. In a simple way, this image shows an even distribution redivided to give one party the advantage.
    3. Re:Solving the wrong problem by russ1337 · · Score: 2, Informative

      Go and play these 5 missions in the redistricting game from basic to advanced, and come back and tell me if you've changed your views or not.

      Seriously, be honest.

    4. Re:Solving the wrong problem by CrimsonAvenger · · Score: 4, Insightful

      It doesn't matter if Gerrymandering has taken place or not. If there are enough votes to elect someone then they are reflective of their voting populous.

      Not quite. Consider the possibility of a state that is 55% Republican, 45% Democrat, with 20 Representatives. Ideally, any districting should elect about 11 Republicans and 9 Democrats.

      It is a relatively trivial exercise, however, to divide the districts up so that 20 Republicans and 0 Democrats are elected.

      And it's not even especially hard to divide them up so that 3 Republicans and 17 Democrats are elected.

      While it is true that each of those districts is reflective of the voting population, alas, it's not necessarily true that the results at the State level are reflective of their voting populations.

      --

      "I do not agree with what you say, but I will defend to the death your right to say it"
    5. Re:Solving the wrong problem by Taevin · · Score: 3, Informative

      Do you seriously not get it, or are you deliberately trying to be obtuse? Of course the people who get elected got more votes, gerrymandering doesn't change the basic electoral system. What it does do is allow politicians to run virtually uncontested in a gerrymandered district. Since you completely ignored the rather obvious example of how this works provided by jsprat (in pictorial form, even!), I'll attempt to explain it again. In the original image, the two parties, green and magenta, are equally distributed in terms of voters (the dots). This would let to some very close elections, ranging from 4 green representatives to 4 magenta and everything in between (we'll say it evens out to 2 and 2). Now look at the gerrymandered example. There are now 3 representatives elected from the magenta party with no contest. See the problem?

      If for some reason an elegantly simple example, such as the one in the Wikipedia article, is not sufficient, how about some real world examples? Some of these districts are downright ludicrous. Are you seriously trying to tell me these district lines were drawn in an effort to create fair and unbiased voting districts?

    6. Re:Solving the wrong problem by russ1337 · · Score: 2, Insightful

      When you say "Why should a state attempt to do anything that deviates from the existing conditions?" do you realize that the "State" does not do anything, it is actually an individual with political interests in staying in power that does this. Saying "State" makes it sound like a faceless majority, where it is a powerful MINORITY that can influence the results. This is not Democracy.

      So, did you play the game?

    7. Re:Solving the wrong problem by Strilanc · · Score: 2, Informative

      Its much more than an issue with personal preference. Consider that, with a perfect boundary, you can win the majority of regions with far less than 50% of the total vote, even with similarly sized regions.

      region 1: 101 A, 100 B
      region 2: 101 A, 100 B
      region 3: 101 A, 100 B
      region 4: 101 A, 100 B
      region 5: 201 B
      region 6: 201 B
      region 7: 201 B
      Total regions: 4 A, 3 B
      Total votes: 404 A, 1003 B
      A wins, but B should have won in a landslide

  7. I kind of like the original Constitutional idea by nebaz · · Score: 2, Interesting

    From article I
    The number of Representatives shall not exceed one for every thirty thousand

    A house of representatives with 10,000 people might actually be unwieldy enough to actually have to do business, rather than listen to speeches all the time.

    --
    Rhymes that keep their secrets will unfold behind the clouds.There upon the rainbow is the answer to a neverending story
    1. Re:I kind of like the original Constitutional idea by thrillseeker · · Score: 5, Funny

      I'd be willing to bet that a house of representatives with 10,000 people would never even manage to fund the government, let alone get any other business done.

      Perfect!

    2. Re:I kind of like the original Constitutional idea by Archangel+Michael · · Score: 4, Interesting

      Why is this modded funny? It is actually insightful.

      What is the largest number a person can adequately represent? I actually believe that 30K might be on the high side of that estimation. Right now, a Representative in the House isn't beholden to anyone other than the special interest groups. The Special Interest Groups only need to focus on 435 people currently. If they had to spread their $ around to more people, the amount they could offer each would be much less and more easily overcome by a small band of normal constituents.

      I actuall see no problem with more representation, currently we're getting less and less. You tell me, do you feel adequately represented by anyone, let alone by your congress critter?

      --
      Agent K: A *person* is smart. People are dumb, stupid, panicky animals, and you know it.
  8. One person, One vote only IN your state by micahfk · · Score: 5, Interesting

    Of course, what the article fails to mention is that your vote is only worth so much depending on what state you live in. Remember, in the US, we elect through the electoral college which generally means (technically, the electors do not have to vote by what the people vote with an exception of a few states) your vote is counted within the state and not within the nation. So, how much is your vote worth? At the extreme ends, Wyoming, which has the least number of people for a state gets 3 electoral votes for about 500,000 people (0.0006%), whereas California has 55 for 38 million people (0.00001%).

    Therefore, for every 1 vote for a Republican in Wyoming, 60 votes for a Democrat in California are needed to cancel each other out. And this mathematician wants to make it more "fair" by giving more votes to smaller states?

    1. Re:One person, One vote only IN your state by joggle · · Score: 3, Informative

      Ummm, I only see one representative listed for Wyoming on the official US House of Representatives website. The guy wasn't suggesting adding representatives to Wyoming, but to Montana and some other states. Montana had a population of 902,195 in the 2000 census and 1 representative. That works out to a voting power of 0.00011% per person in Montana. California had a population of 33,871,648 and has 53 representatives (0.000156% per person).

      His model wasn't trying to be fair, just less unfair. To be fair Wyoming would either need a fractional vote or the size of the House would have to be increased until each person in the house represented about 500,000 people. Since this isn't possible from his model's point of view he does the next best thing (removing votes from large states that have fewer people per representative to smaller states that currently have more people per representative).

      With that said, I agree that small states don't need more representation in the House. They are more than adequately compensated by having 2 votes in the Senate. To put in perspective how powerful that is, imagine that even if San Francisco had 2 senators the Wyoming senators would still be representing fewer people. San Francisco has a population of about 750,000 (4th largest in California) vs. the population of 500,000 for the entire state of Wyoming.

    2. Re:One person, One vote only IN your state by quizzicus · · Score: 3, Informative

      Wrong. Electoral votes are allocated by the number of Representatives plus the number of Senators (DC gets three when we pretend it has representation). Thus, the number of representatives in a state directly influences the number of electoral votes it gets.

    3. Re:One person, One vote only IN your state by alan_dershowitz · · Score: 3, Insightful

      Everything you say is true, but is not relevant to his definition of fairness. The Electoral College is not meant to be proportional to the population while the House of Representatives is. He's trying to make a system that was MEANT to be proportional more accurate, while you are arguing for a conceptual change to the system. His definition of "fair" is more procedural ("if it's supposed to be proportional, is it?") than yours, which is essentially political ("One Person One Vote is a better system than the Electoral College.") Not to say you aren't right, but he's a mathematician and not a politician so he's studying the former and not the latter.

    4. Re:One person, One vote only IN your state by FroBugg · · Score: 3, Informative

      The parent was talking about the Electoral College, not the House of Representatives. The numbers are not the same, as every state has at least 3 Electors, even Wyoming.

    5. Re:One person, One vote only IN your state by ucblockhead · · Score: 2, Informative

      He was talking about electoral votes, not representatives. A state gets one for each representative and one for each senator. The minimum number of electoral votes a state gets is three.

      --
      The cake is a pie
  9. some of us have no representation by Presto+Vivace · · Score: 3, Insightful

    Did he mention Washington, DC in his mathematical formula?

  10. Add more seats by kcurtis · · Score: 2, Interesting

    I have long thought the House should be larger. It is meant to be representative, but the sheer size of each district now means that entire populations go ignored. Think of a conservative enclave in a Democratic district, or vice versa. For example, the wealthy town of Grosse Point Shores is in a very liberal Detroit district. Do you think their views are taken seriously?

    I understand the cost involved - just the buildings alone will be a fortune. But consider how hard it is now for your representative to stay in touch with his or her constituency. The average size of a Congressional district is just below 650,000! That is three times what it was at the turn of the last century. Considering the minimum was set at 30,000, the current sizes are way out of whack compared to the probable intent.

    With 650,000 constituents,it really is no surprise how important campaign donations have become. Worried about lobbiests and PAC's? Well, here is the root of the problem. Yours is a voice in the crowd.

    1. Re:Add more seats by thrillseeker · · Score: 2, Insightful

      the wealthy town of Grosse Point Shores is in a very liberal Detroit district. Do you think their views are taken seriously?

      Yes, money always gets taken seriously by elected officials.

    2. Re:Add more seats by exi1ed0ne · · Score: 2, Informative

      I have long thought the House should be larger. It is meant to be representative, but the sheer size of each district now means that entire populations go ignored.
      That's why to a large extent the States (and even larger extent The People) were originally suppose to be the major government entity, with the Congress tasked with only 18 authorized jobs to do. One of those is to show up one day a year, since the framers thought that there wouldn't be enough work.
      --
      Pessimists.net - as if life wasn't depressing enough.
  11. The REAL problem by jameskojiro · · Score: 3, Interesting

    Is gerry Mandering, we need a good mathematical formula for detirmining the SHAPE of the districts not who gets what.

    1. Divide each state into a grid of 1 mile by 1 mile "chunks"

    2. Find the population of each "chunk" using census data.

    3. Start in the Northern-West corner and start adding blocks to the district moving west to east and dropping down one row and changing direction each time you drop down.

    "Drop down, change direction and increase speed" Lurr from Anthology on Interest 2: Futurama

    4. When your population count hits what 1 representative can represent, start a new district.

    5. Repeat

    6. ????

    7. Profit from special interest kickbacks and pork barrel spending.

    --
    Tsukasa: All I really want, is to be left alone...
  12. Third House by Anonymous Coward · · Score: 4, Interesting

    I think we should add a third house, composed of a random sample of people across the entire country. The term is three months, and the only way to come back to the seat is to be (miraculously) drawn again. The job would be to listen to time-limited debates (without involving themselves in the debate), and brainstorming a set of questions they would like answered for the second round of the debate.

    At the end, every law needs a majority vote in this new house in order to pass. Constitutional amendments require a 2/3rds or 3/4ths vote in order to pass.

    If you can't convince a random sample (including people of all national origins, races, religions, sexual orientations, etc.) that a law is a good idea, it simply doesn't pass. The limited term and not being directly involved in the debate (only listening and then X rounds of questions) means that politics and political shenanigans are reduced to a minimum.

    We also give this house the ability to override Presidental veto and Presdiential pardon/commutation. If 2/3rds of this house (alone) agrees that the President should not have vetoed a law or pardoned someone, then the President's action is null and void (i.e.: law passes, or person still goes to jail for obstruction of justice)

    What do you think?

    1. Re:Third House by hawk · · Score: 2, Informative

      It would actually give you the British House of Lords.

      After centuries of titles entitled to a seat there falling through various hands, it is probably the most diverse legislative body in the world. There are plenty of Lords with no property or income other than their stipend for attending Parliament.

      hawk

  13. eu parliament by erlehmann · · Score: 2, Interesting

    this problem is even more evident in the european union, look at the "relative influence" table on the right.
    http://en.wikipedia.org/wiki/Apportionment_in_the_European_Parliament

  14. The Alabama Paradox by mblase · · Score: 2, Informative

    I'm surprised the article could discuss the mathematics of this without bringing up the Alabama paradox of 1880. It's an interesting example of how, using otherwise correct and normal mathematical distribution, increasing the number of seats in the House can actually decrease the representatives for a specific state.

  15. The REAL problem is mountains by globaljustin · · Score: 2, Interesting

    while your proposed system is unfeasible due to geography (square mile units? maybe that will work in Kansas, but not states with variations in geography-a major determiner of population distrobution), the main point of your post is well made...

    I agree completely, we need to draw congressional districts objectively. gerrymandering completely subverts the original (and very progressive) ideas about how the House should function. It's the most directly democratic part of the Federal Gov't.

    regarding TFA's proposed solution, if the math works out that it's more fair, then I support it. i've seen a few posts above debating the math, but a compromise could be reached.

    the main problem is that whenever a new proposal like this comes along, dem's and gop's game the system to see if the new proposal will be good or bad for them, and then create rhetoric to support whatever helps their side. it's understandable...partys try to maintain their power.

    as a democrat, i'm confident that if truly done fairly, any objective system will favor the dem's in the long run. the overwhelming majority of american citizens are more left-leaning on policy issues when you remove the political rhetoric (polls and personal experience bear that out), but the problem is, less than half of our citizens vote

    --
    Thank you Dave Raggett
  16. that's little compensation by nguy · · Score: 2

    The current method tends to favor big states

    Yeah, and the current method of allocating senate seats is favoring little states big time. That's one of the reasons our agricultural policies are so messed up and why the little states are getting money from the big states.

    There's nothing to be "corrected" here, at least not until the allocation of senate seats is changed substantially.

  17. 17th amendment by ChristTrekker · · Score: 5, Insightful

    What is the largest number a person can adequately represent? I actually believe that 30K might be on the high side of that estimation.

    Very insightful! I've been saying this for a long time now. When the 17th Amendment was ratified, populists thought that direct election of US Senators would be a great move for democracy! Instead, they shot themselves in the foot. Do you really think your Senator cares a fig about your opinion? You're one among millions. Back when s/he was accountable to the state's legislature though, you can be darn sure he paid attention to their few dozen opinions. Losing the support of any one legislator was significant.

    Making Senators into super-Representatives was just silly. The House has a 2-year term because the electorate is fickle. Senators have a 6-year term because (in theory) your legislators are wise enough to make more thoughtful decisions. If we trust them enough to make laws for the state, can't we trust them enough to select Senators? But no, now we are stuck with our fickle decisions for 6 whole years - and 6 years after they make dumb decisions they can be sure we've forgotten about them, so they are even less accountable than ever!

    Increase the House membership to 1000, and repeal the 17th Amendment. Those are the two best things we could do to "fix" the Congress in a relatively easy manner.

  18. Re:Bias towards red states? by ChristTrekker · · Score: 2, Insightful

    Instant runoff is a bad system. Throwing away part of someone's preference is a sure way to record an inaccurate preference. You need to evaluate them all simultaneously not sequentially - a Condorcet method. A preference for 4th place over 5th is just as important as a preference for 1st place over 2nd. You can't throw away the former just because they were "low" numbers! You may think Al Gore and Ralph Nader both stink, but if you think Ralph stinks less, that should still count for something!

  19. Re:Proportional representation by DragonWriter · · Score: 2, Insightful

    The small congressional districts where only one candidate gets chosen should be scrapped. Each state should become one voting district and all the congressional seats of the state should be allocated using the proportional D'Hondt method.


    That's a really bad idea. If all the states were equal sizes, this would be arguably a good idea (I think candidate-centered elections are better than party-list, so I'd oppose it even then, but it would at least make some sense.)

    As it is, states have between 1 and 53 representatives, so you get single member districts in several states, and huge party-list systems where most candidates are relatively unknown to the electorate in large states.

    A better idea would be to expand the size of the House (may it, say, 5 times its current size), require districts to be of 4-7 members (set a floor of 4 or 5 members per state), and use a candidate-centered method that produces proportional results, like Single Transferrable Vote. You get the desirable features of proportional systems while at the same time keeping individual candidates directly accountable to the electorate.
  20. Census - not accurate by JaySSSS · · Score: 2, Informative

    "To prevent gerrymandering, have independent boundary commissions to redistrict after every census."

    This won't solve anything, because census data is not very accurate. The Constitution only authorizes Congress to require that numbers of people be collected. Other information, such as race, income, or any other measurement are voluntary. Many people either do not provide additional information, or deliberately mis-represent the data. I for one only provide the data is required by the Constitution, because I feel that census data is often mis-used, and there are many privacy issues with census questions. It also doesn't collect information in regards to homeless people (the census bureau estimates), and there is no adjustment for illegal aliens (people here illegally can fill out the census data and skew the numbers).

  21. bullcrap by enos · · Score: 3, Informative

    That's just an excuse to keep the current system in place.

    My high school government teacher had a brilliant exercise for us: he gave us a map of Indiana with info on how each county voted (i.e. Democrat/Republican, to keep it simple). Then he assigned every student a party and everyone could draw districts such that their party would win ALL 10 seats.

    The idea is to divide and conquer. By splitting up the opposing party's strong areas and absorbing pieces of them into your party's areas, you could essentially neutralize them.

    The take home lesson is that whichever party is in power when the census is completed and redistricting happens is at a big advantage and they DO use it.
    So sure, technically the representative is elected by the people in their district, but that district is no longer cohesive and is totally arbitrary (where arbitrary = convenient for the party that drew it).

    --
    boldly going forward, 'cause we can't find reverse
  22. Legitimacy by mosb1000 · · Score: 2, Insightful

    Any poly-sci major will tell you that the main purpose of elections is to grant the governing body "legitimacy". The idea is that if you say people voted for the government, people are more willing to accept governmental authority (if people didn't accept governmental authority, the government would not have any power). Since most people do not have a complete enough understanding of discrete mathematics to understand this problem, it will not grant the government any additional legitimacy and is therefore completely useless.

    As a side note, I would like to take this opportunity to complain that people too frequently equate democracy with freedom. There is nothing about a democracy that means that it increases your level of freedom. People in this country could vote to take away all my money and forcibly sterilize me, and it would be no less of an infringement on my basic freedoms than if some psychopath broke into my house, stole everything I had and cut my balls off.

  23. This is not new by slashname3 · · Score: 2, Insightful

    The founding fathers knew this. When they setup congress the House and Senate were created to make sure the smaller states did not get short shrift. All states get equal representation in the Senate. The House provided a way to give the states a measure of representation based on population.

    The posts complaining about gerrymandering have more of a point that trying to reallocate how the House is allocated. And if you want a really big problem that needs to be addressed then look no further than the electoral college. Of course that one depends on which side you fell on in the last couple of elections.