Chicken dilemma
Definition
Supporting definition:
The A voters are the voters who vote A over everyone else. The B voters are the voters who vote B over everyone else. The C voters are the voters who vote C over everyone else.
Premise:
1. There are 3 candidates: A, B, and C.
2. The A voters and the B voters, combined, add up to more than half of the voters in the election.
3. The A voters are more numerous than the B voters. The C voters are more numerous than the A voters, and more numerous than the B voters.
4. The A voters vote B over C. The B voters refuse to vote A over anyone.
5. None of the C voters vote A or B over the other.
Requirement:
B doesn't win.
[end of CD definition]
In the chicken dilemma scenario described in the premise of the Chicken Dilemma Criterion (CD), defined above, if B won, then the B voters would have successfully taken advantage of the A voters' co-operativeness. The A voters wanted to vote both A and B over the candidate disliked by both the A voters and B voters. Thereby they helped {A,B} against the worse candidate. But, with methods that fail CD, the message is "You help, you lose".
Some methods that pass the Chicken Dilemma Criterion:
ICT, Symmetrical ICT, MMPO, MDDTR, IRV, Benham's method, Woodall's method
Because CD is so simple, such a simple situaton, could there be another simple implmentation of it?
...maybe one that doesn't speak of numbers of voters in the factions?
CD is sufficient, as-is, but here is a non-numerical definition:
CD2 ;
Supporting definition:
The A voters are the voters who vote A over everyone else. The B voters are the voters who vote B over everone else. The C voters are the voters who vote C over everyone else.
Premise:
1. There are 3 candidate: A, B, and C.
2. If the A voters and B voters all voted both A and B over C, then C couldn't win.
3. The ballot set is such that if C withdrew from the election and the count, A would win.
4. The A voters vote B over C.
5. The B voters don't vote A over anyone.
Requirement:
B doesn't win.
[end of CD2 definition]