The Hare system is sometimes advocated for clubs on account of its supposed just principle. Any live club which adopts it runs the risk of disruption. It merely encourages the formation of cliques and sections; any slight split would be accentuated and rendered permanent.
The Limited Vote.—The injustice of the Block Vote led to the introduction of the Limited Vote, which allows the minority some share of the representation. We have seen that the Block Vote forces each party to try to return all the representation, and of course one party only can succeed. But if neither party be forced to try to return more than it is entitled to each party will get its correct share of representation, providing both parties are equally organized. This leads to the Limited Vote, in which each elector has a number of votes somewhat less than the number of seats.
The Limited Vote was used in England for a number of three-seat electorates, which were created by the Reform Bill of 1867, each elector being allowed to vote for two candidates only. By this means the majority would usually return two candidates and the minority one. Thus the Limited Vote has the same advantage as the Block Vote and the single electorate system, that it tends to confine representation to the two main parties, but it creates an artificial proportion of representation between them. Moreover, it renders strict party organization even more necessary, since each party must arrange to use its voting resources to the best advantage. Consider the three-seat electorate, for instance. The minority will, if it is wise, nominate two candidates only; and the majority may nominate either two or three. But if the majority does divide its votes among three candidates it runs the risk of securing one only. It can do so safely when two conditions are fulfilled: first, it must be sure of polling more than three-fifths of the votes; and, second, it must arrange to distribute all its votes equally among the three candidates. It is not surprising, therefore, to find that the Limited Vote was responsible for introducing "machine" tactics into England. In Birmingham, when Mr. Joseph Chamberlain organized the Liberals and succeeded in carrying all three seats, the electors in each ward were directed how to vote so that as few votes as possible might be wasted. These three-cornered constituencies were abolished by the Redistribution Act of 1884; and Sir John Lubbock, reviewing the experiment, declared—"On the whole, it cannot be denied that under the Limited Vote the views of the electors have been fairly represented."
The system has also been tried to a smaller extent in the United States. In New York 32 of the delegates to a constitutional convention were elected from the State polled as one electorate, each elector being allowed to vote for 16 candidates. Both parties were afraid to split their votes, and the result was that each returned 16. The rest of the delegates were elected in single-membered electorates, and of these the Republicans secured 81 and the Democrats 47. It might here be pointed out that the Republicans might have secured more than 16 of the delegates from the State at large if they had nominated 20 candidates and allowed the laws of chance to regulate their organization. Each elector might have been directed to put the twenty names into his hat, and to reject the first four he pulled out. The same evil is apparent in Boston, where twelve aldermen are elected at large, each elector being allowed seven votes. Each party nominates seven candidates only; and the majority invariably elects seven and the minority five.
The Limited Vote is therefore not a satisfactory solution of the problem of representation. It gives an artificial instead of proportional representation, and it necessitates strict party organization and control of nominations. At the same time it will generally give a very fair representation if parties are not strictly organized, and might well have been adopted for the Federal Convention, five or six votes being allowed instead of ten. Newspaper domination would thus have been prevented.
Election of the Candidate Most in General Favour.—It is often required to ascertain the candidate most in general favour where one party only is concerned, such as an election for leader of the Opposition or president of a club; and the methods in general use are very defective. We do not refer to the theoretical difficulty, which perplexes some persons, of giving effect to the actual degree of favour in which the candidates stand in the electors' minds, but to the simple problem of finding out who is preferred most by the bulk of the electors. Thus it is universally recognised that when two candidates stand the candidate who has the support of an absolute majority of the electors is entitled to election. Yet it is possible that the rejected candidate may be nearly twice as popular. This might happen if the majority held that there was little to choose between the two candidates, while the minority thought they could not be compared. But it is quite evident that such distinctions cannot be recognized; the candidate who is preferred by an absolute majority must be elected. It is when there are more than two candidates that the difficulty arises. To elect the candidate who has most first preferences is open to very serious objection; he may have a small minority of the total votes, and each of the other candidates might be able to beat him single-handed.
The best way to overcome the difficulty is undoubtedly by some process of gradually eliminating the least popular candidates till the number is reduced to two; the candidate with the absolute majority is then elected. We propose to consider the different ways in which elimination might be made. We assume, in the first place, that each elector has cast an advance vote—i.e., that he has placed all the candidates in order of preference. The most primitive method is to eliminate at each successive count the candidate who has least first preferences. This is the method adopted in the Hare system, and we have already shown that it is very defective; in fact, it is no improvement at all. The eliminated candidate might be most in general favour, and might be able to beat each of the other candidates single-handed. A second method is to use Preferential Voting to decide which candidate should be eliminated at each successive count. This is far superior, but it is extremely complicated, and is open to the objection that when there are a large number of candidates a small section may cause the rejection of the general favourite. We propose to describe a method based on the Block Vote which is much simpler, and which does not lend itself to abuse. We have shown that the Block Vote works best when the candidates can be divided into two equal sections of favour and non-favour. Suppose there are four candidates, the first two preferences should therefore be counted as effective votes, instead of the first preference only. The eliminated candidate will then be the least in general favour. A second count is then made of the three candidates left, and the first preferences and half of the second preferences are counted as effective, and the lowest again eliminated. The candidate who has an absolute majority is then elected. The method may be indefinitely extended; if there are five candidates the first two preferences and one-half of the third preferences are counted, and so on. But when there are a great many candidates more than one might be eliminated. Any number up to eight could be safely reduced to four at the first count.
FOOTNOTE:
[8] The bracket principle introduced by Professor Nanson into the Hare system involves a partial recognition of this fact.