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Imagine Democratic Fair Choice: Difference between revisions
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[[Category:Single-winner voting methods]]
''A: Welcome to tonight's election show on WDTN!''
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''A: Before joining the officials in performing the last step of the election, let us shortly recall the rules of the sophisticated new voting system which the United Nations adopted last year for this election. Although the system, called '''"Democratic Fair Choice"''', requires the voter to make '''just one or a few simple marks''' on the ballot, it is based on much more detailed information than most other comparable voting systems.''
[[Image:Dfc200.gif|DFC Logo]]
B: Right, this is because with your one main vote, called the '''"direct support vote"''', you not only voted for your favourite candidate today, but you voted for a whole ''ranking'' of all the candidates, with your favourite on top. Perhaps you remember those '''rankings published by each of the candidates''' a week ago? This is the ranking your "direct support vote" is counted for!
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support | approve
directly: | of:
------------------
Anna X | O
Bob O | O
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Deirdre O | X
Ellen O | O
------------------
(vote | (vote for
for | as many
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5. Ellen
''A: That's a lot of information you provided by just making a few marks, isn't it? This way, you can be quite sure that '''your vote isn't lost''' and your interests are taken into account properly even when your favourite will not have enough support to win!''
''But now it's time to join the officials and enter the last phase of the election. Look, they are just about to open the sealed envelopes with which the candidates collectively have determined the "proposing voter"! This is the most thrilling moment of the election! Imagine you will be the one voter whose direct support vote starts the final choice procedure!''
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''A: Here's a summary of the '''numbered list of all voters''', grouped by which candidate they directly supported, in order of decreasing direct support:''
0,000,000,001 - 2,512,549,572: supporters of Cecil
2,512,549,573 - 4,738,764,902: supporters of Anna
4,738,764,903 - 6,729,027,359: supporters of Deirdre
6,729,027,360 - 8,540,931,755: supporters of Ellen
8,540,931,
B: And here's the numbers the five candidates submitted in their '''sealed envelopes:'''
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''A: But which candidate *is* the winner, then?''
B: '''The winner is the first candidate in the "proposing order" which
It's easier to see what happens by looking at an example, so let us just watch what the officials are doing right now: They considered Ellen first, but found that 67% of the voters preferred Cecil to her, who has also received more approval than Ellen. So Ellen is not the winner since she is '''defeated by another candidate on two different measures''', approval and pairwise preferences.
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