[EM] A more general chicken dilemma
Kristofer Munsterhjelm
km-elmet at munsterhjelm.no
Thu Sep 25 08:45:13 PDT 2025
I've been investigating different criteria lately, and the chicken
dilemma criterion seems to apply to very few elections in general (as a
proportion of the number of elections possible with a given number of
voters).
So I was wondering if the following would be a good generalization:
The following is required for an election to be applicable:
- There are three candidates and three factions, call them A, B, and C.
Each faction prefers its corresponding candidate to everybody else (but
may rank others coequal top based on the method, e.g. if it's Approval).
- The number of C-voters who prefer A to B is equal to the number who
prefer B to A (i.e. they have no meaningful preference between the two).
- If the A-voters and B-voters express a full ballot, then A wins.
Then for every applicable election:
- If the B-voters truncate above A, then B must not win, otherwise the
criterion is failed.
What do you think?
-km
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