A New Way to Aggregate Preferences: Application to Eurovision Song Contests
Description
Voting systems have a great impact on the results of contests
or elections. Simple methods are actually used, whereas they do not provide
most accurate results. For example, in the Eurovision Song Contest,
the winner may not be the most preferred candidate. Condorcet criterion,
which consists in preserving most of the individual votes in the final
ranking, seems intuitively the most relevant. In this paper, we propose a
new ranking method founded on Condorcet voting count principle which
minimizes the number of pairwise inversions of the individual preferences.
We propose a two-step method: computing the cycles among vote
preferences and removing a minimal set of pairwise preferences to erase
all the cycles and turn the votes into a partial order as close as possible
to a total order. Finally, we evaluate the impact of our ranking procedure
on the last 30 Eurovision Song Contests.
| Slides | |
| 0:00 | A New Way to Aggregate Preferences: Application to Eurovision Song Contests |
| 0:42 | Outline |
| 1:17 | Five individual preferences |
| 2:33 | Borda count output pt 1 |
| 3:19 | Borda count output pt 2 |
| 4:22 | Limit of Borda count pt 1 |
| 4:39 | Limit of Borda count pt 2 |
| 4:40 | Limit of Borda count pt 3 |
| 5:03 | Limit of Borda count pt 4 |
| 5:31 | Limit of Condorcet count pt 1 |
| 5:46 | Limit of Condorcet count pt 2 |
| 6:44 | Graph representation of voters’ rankings pt 1 |
| 7:43 | Graph representation of voters’ rankings pt 2 |
| 8:16 | Problem formalization pt 1 |
| 9:19 | Problem formalization pt 2 |
| 10:05 | Computational aspects pt 1 |
| 11:34 | Computational aspects pt 2 |
| 12:38 | Computational aspects pt 3 |
| 13:59 | Eurovision song contest result for the year 1975 |
| 15:44 | Conclusion |
| 20:19 | Graph representation of voters’ rankings pt 2 (a) |
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