Talk Slides (2017-11-10.union): No Title

Dice Voter Profiles

The numbers in any row provide a ranking of the dice

A B C

1 2 3

5 6 4

9 7 8

3 C 6 B 9 A

2 B 5 A 8 C

1 A 4 C 7 B

This can be viewed as a voting profile for an election among 3 candidates (A, B, and C) with 3 voter preference rankings.

Here, two voters prefer B to A, two prefer C to B, and two prefer A to C. So there is no clear winner.

This is the famous example of a Condorcet cycle in a voting profile.

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