VoteFair Ranking Results calculated at
www.VoteFair.org
2005-July-4 13:29
Election
title:
Example in which traditional (plurality and runoff) voting gives unfair results
Question (number
1) title:
Sample Election
The most preferred and most representative choice is:
Farah
Overall
popularity
ranking:
Popularity
Choice
Graphic summary of tally information
(details in mouse-over ALT text)
First
-most popular
Farah
Second
-most popular
Gordon
Third
-most popular
Clifford
VoteFair Representation Ranking
First
-most representative choice is:
Farah
Second
-most representative choice is:
Clifford
Third
-most representative choice is:
Gordon
VoteFair
representation
ranking results should be used when more than one choice is to be selected.
Why? When there are 100 voters, 51 of them can choose the first winner,
so the other 49 voters deserve extra influence in choosing the second winner
(instead of letting the 51 voters also choose the second winner).
When should representation ranking results be used?
When a second candidate is elected to a second equivalent seat on a board of directors,
or when an organization pursues a second activity in addition to the most popular activity.
Comparison of VoteFair Ranking with other voting methods
Voting method
Winner
VoteFair
Farah
Instant runoff
Tie between:
Clifford
Gordon
(100 ballots at least partially ignored because they include an equal preference at a significant step in the runoff process.)
(Choice eliminated in the first round:
Farah)
Majority
None of the choices has won a majority ( more than half ) the votes.
Plurality
Clifford
Condorcet
Farah
Borda count
Farah
Details of plurality results
Choice
Vote count
Percentage
Percentage bar
Clifford
40
40
Gordon
35
35
Farah
25
25
Notice that the choice with the most plurality votes is not necessarily the most popular.
Similarly the choice with the fewest plurality votes is not necessarily the least popular.
Data and Calculation Summary
Number of votes:
100
The following tally table summarizes all the preferences of all the voters.
The bold underlined numbers are the ones that apply to the winning sequence.
All possible pairs of choice names
Number of votes with indicated preference
Prefer X over Y
Equal preference
Prefer Y over X
X =
Farah
Y =
Gordon
65
0
35
X =
Farah
Y =
Clifford
60
0
40
X =
Gordon
Y =
Clifford
60
0
40
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is:
185
Number of all possible valid sequences (without ties):
6
Detailed ballot information
(The numbers indicate the choices
as listed in "First sequence" above,
a comma indicates the next lower preference level,
"&" joins choices at the same preference level,
and "x" precedes the vote count.)
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The Creative Problem Solver's Toolbox
:
A Complete Course in the Art of Creating Solutions to Problems of Any Kind
,
which was written by Richard Fobes,
the inventor of VoteFair ranking
and the programmer and writer for the VoteFair site.
