PREFERENTIAL VOTING SYSTEM
CA. ASHOK SAWA
Respected Senior in the profession and my dear professional colleagues,
As we all are aware that ICAI elections for Central and Regional Councils are scheduled on 07th and 08th
December 2012 and therefore I feel it appropriate to share with you
information on Preferential voting system being followed by our esteemed
Institute.
Our elections are held on the ‘single transferable’ vote system,
under which the voter has to indicate the preference about the
candidates by inserting the figures 1, 2, 3, etc. against the names of
candidates according to his/her preference. Preferential System of
Voting is a system of voting in which voters (any member having
membership number irrespective of holding COP or not) are allowed to
number/rank the candidates in order of preference rather than vote for
just one candidate
Illustration explaining the Preferential System of Voting
The following illustration is given on certain assumptions about
the number of candidates contesting election, candidates to be elected,
votes cast, etc. to explain the procedure for
counting of votes under single transferable system of voting:
1. Number of candidates
|
15
|
2. Number of candidates to be elected
|
6
|
3. Total voters
|
28500
|
4. No. of voters who have voted (Valid votes)
|
21,000
|
5. Quota for election of a candidate will be 21000*100+1
6+1 |
300001(say 300000)
|
Note: The quota limit equals: [Total votes cast / (Seats + 1)] + 1
vote (fractions are ignored) .For the sakeof simplification, it can be
stated that a candidate should get 3000 votes carrying value equal to
first preference for getting elected.
Number of first preference votes secured by each candidate is as in table above.
Candidate
|
First preference
|
A
B
C
D
E
F
G
H
I
J
K
L
|
3300
800
2860
2400
2200
2000 800
2050
2940
400
500
750
|
|
21000
|
First count:
(i) Candidate ‘A’ will be declared elected as he gets more than the required quota of 3000 votes.
(ii) Surplus of 300 votes form her 3300 votes will be transferred
to other candidates. For this purpose, the value of surplus votes will
be worked out and distributed to candidates who have been marked for
second preference.
(iii) If only 3000 out of 3300 voters have exercised their second
preference, the value of each surplus vote will work out to 1/10
(300/3000).
On distribution of second preference votes, the position of other
candidates will be as under: It is assumed that only ‘C’, ‘D’ and ‘I’
have received these second preferences.
Candidate
|
Original First Preference
|
Distribution No. of votes
|
Surplus from ‘A’ Value @1/10
|
Total
|
‘C’
|
2860
|
600
|
60
|
2920
|
‘D’
|
2400
|
1800
|
180
|
2580
|
‘I’
|
2940
|
600
|
60
|
3000
|
|
|
3000
|
300
|
|
(iv) On the above basis, candidate ‘I’ will get elected as he gets 3000 votes on distribution of surplus from ‘A’.
(v) Please note that since only 3000 out of 3300 voters have
exercised second preference votes, 300 votes out of her packet have gone
waste.
Elimination process:
Elimination of ‘J’:
(i) Since there are no surpluses with the other candidates, the
candidate who has got the lowest number of first preference votes will
be eliminated first.
(ii) On this basis, candidate ‘J’ who has secured 400 first
preference votes will be eliminated. The candidates, to whom second
preference or subsequent preference is marked, will get advantage on
distribution of the value of these votes. Let us assume that the
second/subsequent preferences are marked as under:
Preferences
|
‘A’
|
‘I’
|
‘C’
|
‘D’
|
‘E’
|
Total
|
Second
|
100
|
100
|
30
|
70
|
100
|
400
|
Third
|
—
|
—
|
50
(From ‘A’) |
100
(From ‘I’) |
50
(From ‘A’) |
200
|
(iii) Since the candidates ‘A’ and ‘I’ are elected earlier, the second preferences given to them will have to be ignored.
(iv) Therefore, the second preferences received by ‘C’ & ‘D’
and ‘E’ will be added to their packets at full value. So far as third
preference votes received by them are concerned, each such vote will
have 100% value as they are transferred from packets of ‘A’ and ‘I’.
(v) On this basis, the position on elimination of ‘J’ will be as under:
Candidate
|
B/F Votes
|
Distribution on
elimination of ‘J’ Second Preference (100% value)
|
Third
Preference(100% value)
|
Total
|
‘C’
|
2920
|
30
|
50
|
3000
|
‘D’
|
2580
|
70
|
100
|
2750
|
‘E’
|
2200
|
100
|
50
|
2350
|
|
|
200
|
200
|
|
On this basis ‘C’ will get elected as he gets 3000 votes.
Elimination of ‘K’:
(i) The next candidate to be eliminated will be ‘K’, who has received 500 first preference votes.
(ii) If all voters have marked 2nd preference votes in favor of
‘B’, ‘D’ & ‘H’, the position will be as shown below. Each 2nd
preference vote will have 100% value.
Candidate
|
B/F Votes
|
Distribution on elimination of ‘K’
|
Total
|
‘B’
|
800
|
150
|
950
|
‘D’
|
2750
|
250
|
3000
|
‘H’
|
2050
|
100
|
2150
|
|
|
500
|
|
On the above basis ‘D’ will get elected as he gets 3000 votes.
The elected team would now comprise of ‘A’, ‘C’, ‘D’ and so on...
Some members are under the impression that only the ‘first
preference’ vote is of value, which is not correct. All the candidates,
the value of whose votes is equal to or greater than the quota of
specified number of first preference votes are declared elected. The
surplus values of the votes of those candidates who have secured more
than the quota at the first count are then transferred to the candidates
who have secured 2nd and 3rd preferences. It may so happen that a
candidate, who gets good first preference votes in the first count, may
not succeed in the election if he does not get support from other voters
in the form of second or subsequent preferences. An
attempt has been made in the illustration above to explain the procedure
for counting the votes and for distribution of the proportionate value
of various preferences to other candidates. This example will clarify
the value
and importance of each preference.
So its a humble request to value this preferential system of voting and vote for the change and for the change one need to be in the system.May the best candidates win.
With best professional regards
Yours Truly
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