Proportional Representation Applied To Party Government Part 7

[6] Governor Gerry contrived an electorate which resembled a salamander in shape.

CHAPTER VI.

THE HARE SYSTEM OF PROPORTIONAL DELEGATION.

The single transferable vote, generally known as the Hare system, was first invented by a Danish statesman, M. Andrae, and was used for the election of a portion of the "Rigsraad" in 1855. In 1857 Mr. Thomas Hare, barrister-at-law, published it independently in England in a pamphlet on "The Machinery of Representation." This formed the basis of the scheme elaborated in his "Election of Representatives," which appeared in 1859.

He proposed to abolish all geographical boundaries by const.i.tuting the whole of the United Kingdom one electorate for the return of the 654 members of the House of Commons. Each member was to be elected by an equal unanimous number of electors. The method of election was therefore so contrived as to allow the electors to group themselves into 654 const.i.tuencies, each group bound only by the tie of voluntary a.s.sociation, and gathered from every corner of the Kingdom. The total number of votes cast (about a million) was to be divided by 654, and the quotient, say about 1,500, would be the quota or number of votes required to elect a member. But some of the candidates would naturally receive more votes than the quota, and a great many more would receive less. How were all the votes to be equally divided among 654 members so that each should secure exactly the quota? The single transferable vote was proposed to attain this result. Each elector's vote was to count for one candidate only, but he was allowed to say in advance to whom he would wish his vote transferred in case it could not be used for his first choice. Each ballot paper was, therefore, to contain the names of a number of candidates in order of preference--1, 2, 3, &c. Then all the candidates having more than a quota of first choices were to have the surplus votes taken from them and transferred to the second choice on the papers, or if the second choice already had enough votes, to the third choice, and so on. When all the surpluses were distributed a certain number of members would be declared elected, each with a quota of votes. The candidates who had received the least amount of support were then to be gradually eliminated. The lowest candidate would be first rejected, and his votes transferred to the next available preference on his ballot papers; then the next lowest would be rejected, and so on till all the votes were equally distributed among the 654 members. Such was the Hare system as propounded by its author. The electors were to divide themselves into voluntary groups; then the groups which were too large were to be cut down by transferring the surplus votes, and the smaller groups were to be excluded and the votes also transferred until the groups were reduced to 654 equal const.i.tuencies. These two processes, transferring surplus votes and transferring votes from excluded candidates, are the main features of the system. Mr. Hare's rules for carrying them out are drawn up in the form of a proposed electoral law, and in the different editions of his work the clauses vary somewhat. They are also complicated by an impossible attempt to retain the local nomenclature of members. As regards surplus votes it was provided that the ballot papers which had the most preferences expressed should be transferred; still a good deal was left to chance or to the sweet will of the returning officer, and this has always been admitted as a serious objection. The process of elimination is still more unsatisfactory. Mr. Hare was from the first strongly opposed to the elimination of the candidate who had least first preferences, and he therefore proposed that, in order to decide which candidate had least support, all expressed preferences should be counted. This involved such enormous complication that in the 1861 edition of his work he abandoned the process of elimination altogether in favour of a process of selection. He then proposed to distribute surplus votes only, and to elect the highest of the remainder, regardless of the fact that they had less than a quota. He then wrote:--"The reduction of the number of candidates remaining at this stage of the election may be effected by taking out the names of all those who have the smallest number of actual votes--that is, who are named at the _head_ of the smallest number of voting papers, and appropriating each vote to the candidate standing _next_ in order on each paper. This process would be so arbitrary and inequitable in its operation as to be intolerable. It might have the effect of cancelling step by step more votes given to one candidate than would be sufficient to return another.... Such a process disregards the legitimate rights both of electors and of candidates." But the process of selection was not proportional representation at all, being practically equivalent to a single untransferable vote, and Mr. Hare finally adopted, in spite of its defects, the "arbitrary and inequitable" process of elimination in his last edition in 1873. And all his recent disciples have been forced to do the same, because nothing better is known.

Mr. Hare's scheme has ceased to be of any practical interest, since it is now generally admitted that electorates should not return more than ten or twenty members. Moreover, it is admitted that the electors would group themselves in very undesirable ways, and not as Mr. Hare expected.

And yet the only effect of limiting the size of the electorates is to reduce the number of undesirable ways in which electors might group themselves. Let us briefly note the different proposals which have been made.

+1. Sir John Lubbock's Method.+--In his work on "Representation," Sir John Lubbock says:--"The full advantage of the single transferable vote would require a system of large const.i.tuencies returning three or five members each, thus securing a true representation of opinion."

Three-seat electorates are, however, too small to secure accurate proportional representation; with parties evenly balanced, for instance, one must secure twice as much representation as the other.

The following rules are given to explain the working of the system:--

(1) Each voter shall have one vote, but may vote in the alternative for as many of the candidates as he pleases by writing the figures 1, 2, 3, &c, opposite the names of those candidates in the order of his preference.

COUNTING VOTES.

(2) The ballot papers, having been all mixed, shall be drawn out in succession and stamped with numbers so that no two shall bear the same number.

(3) The number obtained by dividing the whole number of good ballot papers tendered at the election by the number of members to be elected plus one, and increasing the quotient (or where it is fractional the integral part of the quotient) by one, shall be called the quota.

(4) Every candidate who has a number of first votes equal to or greater than the quota shall be declared elected, and so many of the ballot papers containing those votes as shall be equal in number to the quota (being those stamped with the lowest numerals) shall be set aside as of no further use. On all ballot papers the name of the elected candidate shall be deemed to be cancelled, with the effect of raising by so much in the order of preference all votes given to other candidates after him. This process shall be repeated until no candidate has more than a quota of first votes or votes deemed first.

(5) Then the candidate or candidates having the fewest first votes, or votes deemed first, shall be declared not to be elected, with the effect of raising by so much in the order of preference all votes given to candidates after him or them, and rule 4 shall be again applied if possible.

(6) When by successive applications of rules 4 and 5 the number of candidates is reduced to the number of members remaining to be elected, the remaining candidates shall be declared elected.

Objection is commonly taken to this method on account of the element of chance involved in the distribution of surplus votes. Suppose the quota to be 1,000, and a candidate to receive 1,100 votes, the 100 votes to be transferred would be those stamped with the highest numerals. But if the hundred stamped with the lowest numerals or any other hundred had been taken the second choices would be different.

Strictly speaking, however, this is not a chance selection--it is an arbitrary selection. The returning officer must transfer certain definite papers; if he were allowed to make a chance selection it would be in his power to favour some of the candidates.

Sir John Lubbock points out that the element of chance might be eliminated by distributing the second votes proportionally to the second choices on the whole 1,100 papers, and that it might be desirable to leave any candidate the right to claim that this should be done if he thought it worth while.

+2.--The Hare-Clark Method.+--The Hare system has been in actual use in Tasmania for the last two elections. It is applied only in a six-seat electorate at Hobart and a four-seat electorate at Launceston. The rules for distributing surplus votes proportionally were drawn up by Mr. A.I.

Clark, late Attorney-General. The problem is not so simple as it appears at first sight. There is no difficulty with a surplus on the first count; it is when surpluses are created in subsequent counts by transferred votes that the conditions become complicated. Mr. Clark adopts a rule that in the latter case the transferred papers only are to be taken into account in deciding the proportional distribution of the surplus. Suppose, as before, the quota to be 1,000 votes, and a candidate to have 1,100 votes, 550 of which are marked in the second place to one of the other candidates. Then the latter is ent.i.tled to 50 of the surplus votes, and a chance selection is made of the 550 papers.

The element of chance still remains, therefore, if this surplus contributes to a fresh surplus.

+3.--The Droop-Gregory Method.+--This method, advocated by Professor Nanson, of the Melbourne University, is claimed to entirely eliminate the element of chance. The Gregory plan of transferring surplus votes is defined as a fractional method. If a candidate needs only nine-tenths of his votes to make up his quota, instead of distributing the surplus of one-tenth of the papers all the papers are distributed with one-tenth of their value. Reverting to our former example, if a candidate is marked second on 550 out of 1,100 votes, the quota being 1,000 and the surplus 100, then instead of selecting 50 out of the 550 papers, the whole of them would be transferred in a packet, the value of the packet being 50 votes, or, as Professor Nanson prefers to put it, the value of each paper in the packet being one-eleventh of a vote. Should this packet contribute to a new surplus the third choices on the whole of the papers are available as a basis for the redistribution. The packet would be divided into smaller packets, and each a.s.signed its reduced value. It might here be pointed out that the use of fractions is quite unnecessary, the value of each packet in votes being all that is required, and that the-same process may be used with the Hare-Clark method to avoid the chance selection of papers. The only real difference is this: that when a surplus is created by transferred votes Mr. Clark distributes it by reference to the next preference on all the transferred papers, and Professor Nanson by reference to the last packet of transferred papers only--the packet which raises the candidate above the quota.

Which of these methods is correct? Should we select the surplus from all votes, original and transferred, as Sir John Lubbock proposes; from all transferred votes only, with Mr. Clark; or from the last packet only of transferred votes, with Professor Nanson? Consider a group of electors having somewhat more than a quota of votes at its disposal. If it nominates one candidate only every one of the electors will have a voice in the distribution of the surplus, but if it puts up three candidates, two of whom are excluded and the third elected, Mr. Clark would allow those who supported the two excluded candidates to decide the distribution of the surplus, and Professor Nanson only those who supported the last candidate excluded. Both are clearly wrong, for the only rational view to take is that when a candidate is excluded it is the same as if he had never been nominated and the transferred votes had formed part of the original votes of those to whom they are transferred.

Whenever a surplus is created it should therefore be distributed by reference to all votes, original and transferred. As regards these surpluses, Mr. Clark and Professor Nanson have adopted an arbitrary basis, which is no more than Sir John Lubbock has done; and they have therefore eliminated the element of chance only for surpluses on the first count. It may be asked, Why cannot all surpluses be distributed by reference to all the papers, if that is the correct method? The answer is that the complication involved is enormous. Yet this was the plan first advocated by Professor Nanson, who wrote, in reply to a definite inquiry how the Gregory principle was applied:--"I explain by an example. A has 2,000 votes, the quota being 1,000. A then requires only half the value of each vote cast for him. Each paper cast for him is then stamped as having lost one-half of its value, and the whole of A's papers are then transferred with diminished value to the second name (unelected, of course). The same principle applies all through. Whenever anyone has a surplus all the papers are pa.s.sed to the next man with diminished value." Now, the effect of this extraordinary proposal would be that the whole of the papers would have to be kept in circulation till the last candidate was elected, with diminis.h.i.+ng compound fractional values. In a ten-seat electorate a large proportion would pa.s.s through several transfers, and would towards the end of the count have such a ridiculously small fractional value that it would take several millions of the ballot-papers to make a single vote! It is no wonder that this method was abandoned when the complications to which it would lead were realized.

A simple method of avoiding this complexity would be to treat transferred surplus papers as if the preferences were exhausted. It must be remembered that in all transfers a certain number of papers are lost owing to the preferences being exhausted, and the additional loss would be small. Thus at the first Hobart election 206 votes were wasted, and this number would have been increased by two only. Every surplus would then be transferred by reference to the next choice, wherever expressed, on both original papers and papers transferred from excluded candidates.

It might be provided, however, for greater accuracy that all papers contributing to surpluses on the first count only should be transferred in packets. Should these contribute to a new surplus, it should be divided into two parts, proportional to (1) original votes and votes transferred from excluded candidates, and (2) the value of the packet in votes. Each part would then be distributed proportionally to the next available preferences wherever expressed. To divide the packets into sub-packets is a useless complication. The loss involved in neglecting them would usually be less than one-thousandth part of the loss due to exhausted papers.

Having now dealt with the main features of the different variations of the Hare system, we may proceed to consider some details which are common to all of them. A difference of opinion exists, however, as regards the quota. Sir John Lubbock and Professor Nanson advocate the Droop quota, which we have shown to be a mathematical error; Miss Spence and Mr. Clark use the correct quota.

+The Wrong Candidates are Liable to be Elected.+--The Hare system may be criticised from two points of view; first, as applied to the conditions prevailing when it is introduced, and, secondly, as regards the new conditions it would bring about. Its advocates confine themselves to the first point of view, and invariably use ill.u.s.trations based on the existence of parties.

We readily grant that if the electors vote on party lines, and transfer their votes within the party as a.s.sumed, the Hare system would give proportional representation to the parties; but even then it would sacrifice the interests of individual candidates, for it affords no guarantee that the right candidates will be elected. The constant tendency is that favourites of factions within the party will be preferred to general favourites. This at the same time destroys party cohesion, and tends to split up parties. Nor can this result be wondered at, since the very foundation of the system is the separate representation of a number of sections.

One reason why the wrong candidates are liable to be elected is that the electors will not record their honest preferences if the one vote only is effective. They will give their vote to the candidate who is thought to need it most, and the best men will go to the wall because they are thought to be safe. Mr. R.M. Johnston, Government Statistician of Tasmania, confirms this view when he declares--"The aggregate of all counts, whether effective or not, would seem to be the truer index of the general favour in which each candidate stands, because the numbers polled at the first count may be greatly disturbed by the action of those who are interested in the success of two or more favourites who may be pretty well a.s.sured of success, but whose order of preference might by some be altered if sudden rumour suggested fears for any one of the favoured group. This accidental action would tend to conceal the true exact measure of favour in the first count." If this statement means anything it is that the three preferences which are required to be expressed should have been all counted as effective votes at the Hobart election instead of one only; and this is exactly what we advocate. It is also admitted that when two candidates ran together at the first Launceston election the more popular candidate was defeated; and again the _Argus_ correspondent writes of the recent Hobart election:--"The defeat of Mr. Nicholls was doubtless due to the fact of his supporters'

over-confidence--nothing else explains it. Many people gave him No. 2 votes who would have given him No. 1 votes had they not felt a.s.sured of his success."

A second reason why the wrong candidates are liable to be elected is that the process of elimination adopted by all the Hare methods has no mathematical justification. The candidate who is first excluded has one preference only taken account of, while others have many preferences given effect to. We have shown that this glaring injustice was recognized by Mr. Hare, and only adopted as a last resort. Professor Nanson admits that "the process of elimination which has been adopted by all the exponents of Hare's system is not satisfactory," and adds--"I do not know a scientific solution of the difficulty." To bring home the inequity of the process, consider a party which nominates six candidates, A, B, C, D, E, and F, and whose numbers ent.i.tle it to three seats, and suppose the electors to vote in the proportions and order shown below on the first count.

FIRST SECOND THIRD FOURTH COUNT. COUNT. COUNT. COUNT.

7-vote ADEFBC ADEBC AEBC ABC 6-vote EFDACB EDACB EACB ACB 5-vote CEBDFA CEBDA CEBA CBA 4-vote BDFACE BDACE BACE BAC 4-vote DCEFBA DCEBA CEBA CBA 3-vote FBAECD BAECD BAEC BAC

It will be noted that F, having fewest first votes, is eliminated from the second count, D from the third count, and E from the fourth. A has then 13 votes, B 7, and C 9. If the quota be 9 votes, A's surplus would be pa.s.sed on to B, and A, B, and C would be declared elected. But D, E, and F are the candidates most in general favour, and ought to have been elected. For if any one of the rejected candidates be compared with any one of the successful candidates it will be found that in every case the rejected candidate is higher in order of favour on a majority of the papers. Again, if the Block Vote be applied, by counting three effective votes, the result would be--A 10 votes, B 12, C 9, D 21, E 22, and F 13.

D, E, and F would therefore be elected. Thus we see that A, B, and C, the favourites of sections within the party, are elected, and D, E, and F, the candidates most in general favour--those who represent a compromise among the sections--are rejected.

In practice, then, the Hare system discourages compromise among parties, and among sections of parties; and therefore tends to obliterate party lines. This has already happened in Tasmania, where all experience goes to show that the Hare system is equivalent to compulsory plumping. In every election the result would have been exactly the same if each elector voted for one candidate only. The theory that it does not matter how many candidates stand for each party, since votes will be transferred within the party, has been completely disproved. Votes are actually transferred almost indiscriminately. The candidates have not been slow to grasp this fact, and at the last election handbills were distributed giving "explicit reasons why the electors should give their No. 1 to Mr. So-and-so, and their No. 2 to any other person they chose."[7] Three out of every four first preferences are found to be effective, but only one out of every five second preferences, and one out of fifty third preferences. The first preferences, therefore, decide the election.

The actual result is that, in the long run, the Hare system is practically the same as the single untransferable vote. The whole of the elaborate machinery for recording preferences and transferring votes might just as well be entirely dispensed with. The "automatic organization" which it was to provide exists only in the calculations of mathematicians.

+A Number of Votes are Wasted.+--It is claimed for the Hare system that every vote cast is effective, because it counts for some one candidate.

But unless every elector places all the candidates in order of preference some votes are wasted because the preferences become exhausted.

When a paper to be transferred has no further available preferences expressed it is lost. In order to reduce this waste, a vote is held to be informal in the six-seat electorate at Hobart unless at least three preferences are given. Notwithstanding this, the number of such votes wasted was 7 per cent, at the first election and 10 per cent, at the second.

The effect of this waste is that some of the candidates are elected with less than the quota. At the last Hobart election only three out of six members were elected on full quotas, and at Launceston only one out of four. The result is to favour small, compact minorities, and to lead sections to scheme to get representation on the lowest possible terms.

The Droop quota, being smaller than the Tasmanian quota, would have the effect of electing more members on full quotas, and it is often recommended on that account. Indeed, Professor Nanson declares:--"In no circ.u.mstances is any candidate elected on less than a quota of votes.

The seats for which a quota has not been obtained are filled one after the other, each by a candidate elected by an absolute majority of the whole of the voters. For the seats to be filled in this way all candidates as yet unelected enter into compet.i.tion. The matter is settled by a reference to the whole of the voting papers. If any unelected candidate now stands first on an absolute majority of all these papers he is elected. But if not, then the weeding-out process is applied until an absolute majority is obtained. The candidate who gets the absolute majority is elected. Should there be another seat, the same process is repeated. If an absolute majority of the whole of the voters cannot be obtained for any candidate, then the candidate who comes nearest to the absolute majority is elected." It will be seen that Professor Nanson proposes to bring to life again all the eliminated candidates, in order to compete against those who have less than the quota. The proportional principle is then to be entirely abandoned, and the seats practically given to the stronger party, although the minority may be clearly ent.i.tled to them. The vaunted "one vote one value" is also to be violated, because those who supported the elected candidates are to have an equal voice with those still unrepresented. And finally, the evil is not cured, it is only aggravated, if an eliminated candidate is elected.

+The Hare System is not Preferential.+--The idea is sedulously fostered that the Hare system is a form of preferential voting, and many people are misled thereby. The act of voting is exalted into an end in itself.

The most elaborate provisions are now suggested by Professor Nanson to allow the elector to express his opinion only as far as he likes. The simple and practical method in use in Tasmania of requiring each elector to place a definite number of candidates in order of preference is denounced as an infringement of the elector's freedom. Why force him to express preferences where he does not feel any? The Professor has therefore invented "the principle of the bracket." If the elector cannot discriminate between the merits of a number of candidates he may bracket them all equal in order of favour. Indeed, where he does not indicate any preference at all, the names unmarked are deemed equal. Therefore, if he does not wish his vote transferred to any candidate, he must strike out his name. It is pointed out that a ballot paper can thus be used if there is any kind of preference expressed at all, and the risk of informality is reduced to a minimum. All the bracket papers are to be put into a separate parcel, and do not become "definite" till all the candidates bracketed, except one, are either elected or rejected; the vote is then transferred to that candidate. And as bracketed candidates will occur in original papers, surplus papers, and excluded candidates'

papers at every stage of the count, the degree of complication in store for the unhappy returning officer can be imagined.

The whole of these intricate provisions are founded on a patent fallacy.

Preferences are not expressed in the Hare system, as in true preferential voting, that they may be given effect to in deciding the election, but simply in order to allow the elector to say in advance to whom he would wish his vote transferred if it cannot be used for his first choice. The elector is allowed to express his opinion about a number of candidates, certainly, but after being put to this trouble only one of his preferences is used. And which one is used depends entirely on the vagaries of the system. The principle of the bracket ill.u.s.trates this fact; if the elector has no preference the system decides for him. If his first choice just receives the quota the other preferences are not even looked at. Again, of all the electors who vote for rejected candidates, those who are fortunate enough to vote for the worst (who are first excluded) have their second or third preferences given effect to, and few of their votes are wasted; but the votes of those who support the best of them (who are last excluded) are either wasted or given to their remote preferences. In Mr. Hare's original scheme, for instance, the votes of the last 50 candidates excluded would have been nearly all wasted, unless some hundreds of preferences were expressed.

Another claim on which great stress is laid is that by the process of transferring votes every vote counts to some one candidate. This means nothing more than that the votes of rejected candidates are transferred to the successful candidates. Where is the necessity for this? So long as each party secures its just share of representation and elects its most favoured candidates, there is no advantage gained by transferring the votes. Miss Spence even declares that "every Senator elected in this way will represent an equal number of votes, and will rightly have equal weight in the House. According to the block system, there is often a wide disparity between the number of votes for the highest and the lowest man elected." Surely the mere fact of transferring votes till they are equally distributed does not make all the successful candidates equally popular! On the contrary, it is very desirable to know which candidates are most in favour with each party.

+Ballot Papers Must be Brought Together for Counting.+--This is a practical objection to the Hare system, which puts it out of court for large electorates. If the whole of Victoria were const.i.tuted one electorate, as at the Federal Convention election, the transference of votes could not be commenced till all the ballot papers had come in from the remote parts of the colony, two or three weeks after the election.

On this point Professor Nanson writes:--"In an actual election in Victoria this 'first state of the poll' could be arrived at with the same rapidity as was the result of the recent poll on the Commonwealth Bill. In both cases but one fact is to be gleaned from each voting paper. The results from all parts of the colony would be posted in Collins-street on election day. These results would show exactly how the cat was going to jump. The final results as regards parties would be obvious to all observers, although the result as regards individual candidates would be far from clear. But this, although of vast importance to the candidates themselves, would be a matter of small concern to the great ma.s.s of the people." These remarks are based on the a.s.sumption that the electors vote on strictly party lines, which a reference to Tasmanian returns will show is not usually the case. Few will be disposed to agree that a knowledge of the successful candidates is a matter of small moment.

FOOTNOTE: