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University Elections |
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| No. of valid first preference votes | |
| No. of positions +1 | +1 |
For example, if there are three positions and fifty first preference votes, the quota needed for election will be [50 ÷ (3 + 1)] + 1 = 13.5.
If there are only two candidates for one position, the candidate with the larger number of valid votes wins. If they have an equal number of votes, the Returning Officer will determine by lot who is elected.
If there are more than two candidates for one position, and one of the candidates receives half plus one of the valid votes, that person is elected. If none of them receives that number of votes, then the candidate with the least number of votes is eliminated and that person's second preferences distributed. (If two or more candidates each have the same lowest number of votes, then the Returning Officer tosses a coin or draws names from a box to determine which of them shall be eliminated first.) If this fails to provide a candidate with half plus one of the votes, then the next person with the lowest number of votes is eliminated, and those preferences distributed. This process is repeated until a candidate has sufficient votes. Some of those votes may be allocated to the candidate of their third or lower preference, if their higher preferences have been eliminated. However, as only one person is to be elected, the votes which are distributed have the same weight as first preferences. Where a candidate has been eliminated and a voting paper to be distributed has no further preferences, or preferences only for candidates who have already been eliminated, then the voting paper is disregarded ("exhausted"). The number of votes needed to be elected becomes half plus one of the remaining votes.
If there are two or more positions to be elected, and more than that number of candidates, then the voting system is more complicated. The two major differences are that there is a formula for calculating the number of votes ("quota") required for election, and, where a person has been elected with more votes than required by the quota, only the excess number of votes is distributed to the remaining candidates. The quota is determined by the formula shown above in Setting the quota.
Any candidates whose first preference votes reach the quota are elected automatically. If any of them had more first preference votes than the quota, then the excess votes are redistributed. The method of doing this is to allocate all votes of that candidate a discounted value (being the excess number of votes ÷ the total number of votes), and then to distribute them with this discounted value. It helps to write the discounted value on each ballot paper when redistributing them, so they are not accidentally counted at full value. If some ballot papers do not have further preferences to redistribute, they are disregarded ("exhausted"), but this does not change the value of those votes which are redistributed.
The reason for discounting preferences is that if the second preferences were redistributed at full value, this would result in a "winner-takes-all" system without representation of minority groups. An alternative sometimes used elsewhere is to select some of the votes as the excess and redistribute only these (albeit at full value). However, this is not permitted in University elections, as our voting numbers are quite small and hence sampling error could influence the final result.
Any candidates who reach the quota as a result of this redistribution, are declared elected. If (as is usually the case) this does not fill all the positions, then the candidate with the least number of votes is eliminated. If any candidate had no first preferences, then that person is eliminated now, rather than earlier in the process: a candidate without any first preference votes is not automatically eliminated at the start, but stays in the ballot until after redistribution of preferences of any candidates elected on the first ballot, as this might mean that he or she gains some redistributed preferences and is not the first eliminated, and indeed could be elected. If two or more candidates each have the same lowest number of votes, then the Returning Officer tosses a coin or draws names from a box to determine which of them is eliminated first. Where votes are redistributed from unsuccessful candidates, they retain their full value, as they have not already been used to elect someone.
This process is continued until sufficient candidates have each obtained a quota and been elected.
The system of distributing preferences is spelt out more in Regulations 17 and 18 of the Election Regulations.
The order in which the Guild elections are to be counted is stipulated in Guild Election Regulation 5.1:
(a) Guild President;
(b) Education Vice-President;
(c) Council Representatives, in order of Women’s, PEMS, Postgraduate, International, Rockingham, Sexuality and Indigenous Councils;
(d) General (Guild) members of Secretariat;
(e) any other positions, in the order determined by the Returning Officer.
Any candidate who is elected to a position is eliminated from the counting of votes for all subsequent Guild positions in that election.