01/27/02 - Re: PR/STV Hybrid for multi-winner? Adam Tarr, you wrote: "Proportional Representation (PR) has the obvious advantage of matching the expressed voter preference as closely as possible in a multi-winner election. The problem with PR, in my opinion, is that it limits the voter preference to a single party (and a single order within that party) and as such gives too much power to the party leadership."
Proportional Representation (PR) is not an election method in itself, it is a category of methods that give better proportionality than Plurality-at-Large. What you are talking about above is called `Closed Party List'. While it is a PR method it is only one of a number of PR methods. You also wrote: "In order for a party to be an option for the ballot, it must provide a list of candidates equal to the number of seats available." Donald: You are being too harsh. Parties should be free to field as many candidates as they care to put on the ballot. No party would expect to elect all the seats. Adam: Any thoughts? Has this sort of method been proposed before? -Adam Donald: Yes, it has been proposed before to allow people to vote for candidates and/or parties in any mix. Regards, Donald Davison - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Multi-Seat Election Methods: by Donald E Davison For Elections Conducted in a Single-Area Study Material for Political Change - Revised 11/01/00 The Ladder of Methods for the Election of Lawmakers: We should move up this ladder anytime we have a chance to do so, but we should always think about reaching for one of the best methods near the top. Pure STV |---------------------------------------| Preference Voting(STV) |---------------------------------------| Open-Party-List |---------------------------------------| Closed-Party-List |---------------------------------------| Bottoms Up |---------------------------------------| Single Non-Transferable Vote |---------------------------------------| Cumulative Voting |---------------------------------------| Limited Voting |---------------------------------------| Plurality-At-Large |---------------------------------------| I determined my order of these methods based mainly on factors that I felt were more democratic. While I favor voting directly for candidates, I also favor the method that will elect members close to the proportionality of the parties. This is why Closed-Party-List is more than half way up the ladder. I favor the methods that result in the lowest number of wasted votes, which are votes that did not end up on one of the winning candidates because of the design of the election method. Exhausted votes are votes that did not end up on one of the winning candidates because the voter did not make enough choices. There may be a valid reason the voter did not make enough choices, like maybe he felt the rest of the choices were equally bad, but there is no valid reason for a design feature, that waste votes, to be acceptable. I favor the methods that have an open door so that all votes can help some candidate win. But simplicity and elector acceptance are other factors to be considered. I see the next election reform is for us to move up the ladder of election methods. Most elections in this country for lawmaking bodies use either the Single-Seat District Purality method or the At-Large Purality method. We should try to move away from these to better methods. What follows is a summary of each of the election methods that appear on this ladder, from the bottom up. At-Large Plurality At-Large Plurality is when we use the entire election area as one single at-large district in which all candidates will run together. Each voter has as many votes as there are seats to be filled. The voter can vote for as many candidates as there are seats - each selection receives a vote and all votes have equal value. The candidates with the most votes are the winners. The At-Large Plurality method of electing lawmakers is very common in the election of city councils and school boards. If ten council persons are to be elected each voter would have ten votes to cast. The ten highest candidates would be the winners. The method allows fifty percent plus one of the voters the power to elect the entire city council. It is also possibile that the entire council could be elected by less than fifty percent of the votes which would result in wasted votes of more than fifty percent. In this method the people are able to give some proportional representation. The method is not proportional, but the people do add some proportionality to the results. It appears that when people have a number of votes they are willing to use some votes for other genders or other races or other anything else. But it must be remembered that this is not carved in stone. The simple majority always has the power to elect the entire membership of a council. I rate this method higher than the mold of single-seat and single-slot districts, which if once broken, it will be easier for us to move further up this ladder once we are on this ladder in which all methods use the same entire election area as one at-large district. A twenty percent bloc will not be able to elect one seat out of five. Limited Voting The Limited Voting method is similar to the At-Large Plurality method except that the voters are allowed less votes than the number of seats to be filled. The number of votes allowed will usually be a majority of the seats. The use of an example will help us understand the probability of candidates being elected from different size voting blocs. Suppose we have three voting blocs, a sixty percent bloc and two twenty percent blocs. There are five seats and a voter can vote for three candidates. We seek an anwer to the question: Will Limited Voting allow each twenty percent of the voters to elect one seat of five and give the voters Fair representation? The probability of each bloc electing one seat per twenty percent depends on how the people of all blocs vote. Our sixty-bloc has a probability of one hundred percent of voting in three candidates. All the bloc needs to do is to run three candidates and if all members of the sixty-bloc vote for all three then each candidate will receive sixty votes per hundred cast in the election. And, the two twenty-blocs can elect one seat each. But, the leader of the sixty-bloc may want to try for all five seats, it is possible. He could run five candidates and the members of the bloc would be instructed to vote according to the last digit of their house number, as follows: Last Digit Vote for these candidates: 0 A B C 1 B C D 2 C D E 3 D E A 4 E A B 5 A B C 6 B C D 7 C D E 8 D E A 9 E A B This will result in each of his five candidates receiving about thirty-five votes per hundred, which is more than the 20 votes/100 a twenty percent bloc could muster. So you see, the probability of a twenty percent bloc electing one candidate has now changed due to a different voting plan by the sixty-bloc. Of course, if the two twenty-blocs put their heads and votes together they could come up with three candidates with forty votes per hundred each. They, the two twenty-blocs, would have to agree on three candidates and then instruct their combined supporters to vote for the three, but it could result in electing three seats between them. If it looks like this is going to happen, the sixty-bloc would need to go to `Plan B' which is to drop one of their five candidates and instruct supporters to vote for the remaining four, as follows: Last Digit Vote for these candidates: 0 A B C 1 D A B 2 C D A 3 B C D 4 A B C 5 D A B 6 C D A 7 B C D 8 A B C 9 D A B This voting will yield: 48 votes/100 for candidates A and B 42 votes/100 for candidates C and D With this turn of events, the two twenty-blocs will be able to elect only one seat between them. Limited Voting is only a slight improvement over Plurality(FPTP). It will not always yield Fair Representation. With Limited Voting, each twenty percent of the voters may not always be able to elect one of five seats. Cumulative Voting The Cumulative Voting method rules give the voter the same number of votes as there are seats to be elected but the voter is allowed to use his votes anyway he would like to use them. If there are ten seats, the voter can put all ten on one candidate - or two votes on each of five - or one on each of ten - or five on one, three on another, and two on a third - you see the picture. I rate Cumulative Voting above Limited Voting because Cumulative Voting will always allow a twenty percent bloc the ability to elect one of five seats, but cumulative voting has too many votes. The more votes per person the more uninformed choices will be made.<BR> If I had only two options, cumulative or status quo, I would go with cumulative voting, it is an improvement. This cumulative rule does increase voter representation and does increase proportional representation. Cumulative Voting is a step in the right direction but it only goes about half way. This step is not big enough to give everyone their just representation in every election. Cumulative Voting is better than At-Large Plurality or Limited Voting but we should think about moving further up the ladder. Single Non-Transferable Vote(SNTV) I rate SNTV above Cumulative Voting because SNTV has only one vote. SNTV is a multi-seat election method that is better than most methods being used today and it is also the simplest of proposed reform methods - simple is good. There are better methods above it on the ladder of methods, but this method makes most of the improvement over Plurality, that is made by any of the better methods. It is a method that is very easy to work. Each voter only has one vote. After the election the votes are counted and the top candidates are the winners - as simple as that and yet the results are within the top twenty percent rating of Full Representation, very close to the results we get from Bottoms Up or Preference Voting, two methods that are better than SNTV but not by much more. The single vote for one candidate gives us the greatest improvement, greater than what we get from the vote transferring features of Bottoms Up or Preference Voting. A twenty percent bloc will always be able to elect one of five seats. As an example take a look at an election in which the first count shows the results of all the single votes. Number One Vote Count from the 1995 council election in Cambridge Mass. A ==============================2264============== B ===========================2087=========== C ==========================2041=========== D =======================1780========== E ======================1728======== F =====================1690======== G ====================1608======== H ================1391======== I ============1239======== J ===========1204======== K =====564=== L ====458== M ==284= N =166 O 121 P 92 Q 55 R 43 S 38 plus 10 Written-In equals 18863 Total votes - - - - - - - - - - - - - - - - - - - - - - - - - - 1887 Results A ======================================| when down B ======================================| to ten C ======================================| Candidates D ======================================| after E ======================================| working F ======================================| the math of G ============================1837===== | Preference H ======================================| Voting I =========================1523===== | J ============================1864===== | Notice that the top ten at the start are still in the race after the candidates are reduced down to ten - that is how close the first count can come to the final results. Also notice that ninety percent of the number one vote count went to these same ten candidates. Cambridge only elects nine, so candidate(I) was dropped on the next count - but top eight out of nine is still very good. Robert Winters lives in Cambridge, Mass and is active in elections in that city - which since 1943 has had a proportional representation method of electing their city council. Robert Winters says: "One thing that every PR-STV advocate should understand is that Number One votes are still almost the whole game. Lower preferences generally only play a role in the election of the last one or two seats, but those seats may hold the balance of power". When the people have a good method like SNTV for electing a council the people will show that they are not screw ups. The people picked the top ten before the numbers were crunched by the math of Preference Voting and they picked them all with a majority of a share - that is excellent voting by the people. It is this one policy of voting for only one candidate that allows these people to look good and it is the policies of your systems, imposed on the public by the politicians, that makes your people look bad - it is the systems that screw up - not the people. Bottoms Up - SNTV plus the Run-off Feature If we were to take the above SNTV method and add a run-off feature, we would have a better method - it goes by the name of Bottoms Up or Choice Run-Off. We add the run-off feature by allowing the people to make a number of choices when they vote. In the event their first choice is dropped their vote is not dropped - their vote is salvaged and transferred to their next choice. We keep dropping the new lowest candidate and transferring votes to the next choices on the ballots until we end up with the number of candidates that is equal to the number of seats we are going to fill. In this method all the voters can have their vote end up on a winning candidate and thus they will all be represented. This run-off feature will make an additional improvement in voter representation to the improvement already made by the SNTV method. Choice Run-Off can also be used for working a single-seat election race. We would merely keep dropping the new lowest candidate until only one remained. In the Cambridge election the last nine candidates were dropped in order from candidate(S) on up - none of the low nine were able to collect enough of the transferred votes during the run-off cycle in order to jump ahead of another candidate nor to end up in the winners' circle. But candidate J did receive enough run-off votes in order to jump ahead of candidate(I) and go on to be the last winner. Having the run-off did change the results of this election. This method, the SNTV Plus Run-off Feature, would have elected the same candidates in the Cambridge election as were elected. The One Vote part elected eight candidates and the run-off elected number nine. A sixty percent bloc may have a very popular candidate and most supporters of the bloc may insist on voting for him. If the voting on their candidates becomes too much out of balance, then one of three seats will be at risk. Suppose the sixty-bloc votes: 38A 20B 2C and the two twenty-blocs vote: 18X 16Y 6Z. The sixty-bloc still needs to do something to balance up their votes in these last three methods, like it needed to do with Limited Voting. But this can turn the election into a chess board when any of these four methods is used. It is understandable if a group tries to reach for more seats - but if a group does not know exactly how strong it is and tries for too many seats they may lose seats and end up below their just representation. Each interest group must watch the moves of all other groups and then act accordingly - but it should not be neccessry for the electors to go through these gyrations - too much trouble plus something could go wrong. Using house numbers is not dependable. There are methods that will automatically do the balancing for the sixty-bloc or any bloc larger than an equal share of the votes. If the election is a partisan election then Party List is one of those methods that will balance out the votes of the sixty percent bloc so that the bloc will elect three seats out of five and a twenty percent bloc will always be able to elect one of five seats. Closed-Party-List In a Closed-Party-List election the political party will make up the selection and order of persons to be awarded seats. This list may or may not be made known before the election. Sometimes the list is not completed by election time. Some people on the list may not even be candidates. This is clearly undemocratic but this method will give very good proportionality between parties and that is why I have placed it here on my ladder of methods. This method is very simple, the voters merely vote for the party of their choice. The number of seats that the party will receive will depend upon how many votes the party receives in the election. The more votes a party receives means the more seats the party will be assigned. This is a method that gives the voters proportional representation(PR) - but only for one reason - for political parties. It does not give the voters proportional representation for any other reason. While it is true that political parties are the main reason we should have proportional representation, there are other election methods that will give proportional representation for any reason including the political parties. With the method of Closed Party List the people must depend on their political party for some proportional representation. This is wrong - the people should have an election method that allows them to decide proportional representation in the ballot box. In defense of Closed-Party-List, the people are free, or should be free, to create small parties and these small parties will elect members in proportion to the size of each small party. These small parties may only have one or two candidates running. This is how the people can show support for their choice of candidates. The mechanics of the Party List is the same as transferring surplus votes and votes of dropped candidates to other candidates - but only to candidates of the same party. I feel that people should vote for candidates. We are still able to vote for a political party by voting for a certain candidate of that party. When we vote for the candidates we are able to have a say in the direction of our political parties. Party List is far more acceptable if it is an Open-Party-List - a list made up by the electors. I have placed Open-Party-List above Closed-Party-List on this ladder of methods. Open-Party-List Open Party List will give as good party proportionality as we can get from Choice Voting but Open Party List is far more simple in operation. Open-Party-List is a party list created by the voters - constructed from the candidates of the party that are running in the election - in order of high votes first as produced by the voters in the election. Having the list decided by the voters makes the party list more democratic than if the list is made up by the party. While the transfer of surplus and salvaged votes is not controlled by each voter, it can be argued that this is not so important. The voter did get to vote for his most preferred candidate. If there are votes to be transferred, these votes will go to the same party of the voter's most preferred candidate. Another method, that will automatically do the balancing for the sixty percent bloc, is Preference Voting, which will balance out the votes according to the quota of twenty percent per seat of five. It does this by transferring surplus votes over the quota to other candidates according to the next choices on the ballots. Preference Voting The next improvement is to go back to the Bottoms Up method and add the transfer of surplus votes over a quota. A quota is the total votes in an election divided by the number of seats to be filled. This is known as the Hare Quota, there are other quotas. Some candidates may receive more than a quota of votes on the first tally - these candidates have a surplus of votes needed to be elected. People who voted for a candidate with a surplus are entitled to elect more candidates than the one. Consider the true report that one candidate received three quotas of votes. The voters of this one candidate should be allowed to elect three candidates. Two quotas of surplus votes should be transferred to help other candidates get elected. When we add this improvement we get a method that is called Preference Voting, which is a Hare type voting method. The term Preference Voting has its greatest name recognition in the United States. Internationally the term Single Transferable Vote(STV) has greater name recognition. Australia uses the term Hare Clarke because Clarke spend many years promoting fractional STV in that country. The Center for Voting and Democracy uses the term Choice Voting. All these terms mean the same method except for different design features. I consider some of the design features to be undemocratic, unproportional, even corrupt. Therefore, I have coined the term Pure STV to mean a Hare type voting method like the others but without any negative design features. File 05 end