Chicken dilemma: Difference between revisions

Content added Content deleted
No edit summary
imported>MichaelOssipoff
No edit summary
Line 5: Line 5:
'''Supporting definitions:'''
'''Supporting definitions:'''


1. The A voters are the voters who prefer candidate A to everyone else. The B voters are the voters who prefer candidate B to everyone else.
1. The A voters are the voters who prefer candidate A to everyone else. The B voters are the voters who prefer candidate B to everyone else. The C voters are the voters who prefer C to everyone else.


2. A particular voter votes sincerely if s/he doesn't falsify a
2. The "other candidates" are the candidates other than A and B.

3. A particular voter votes sincerely if s/he doesn't falsify a
preference, or fail to vote a felt preference that the balloting
preference, or fail to vote a felt preference that the balloting
system in use would have allowed hir to vote in addition to the
system in use would have allowed hir to vote in addition to the
Line 16: Line 14:
'''Premise:'''
'''Premise:'''


1. There are 3 candidates: A, B, and C.
1. The A voters and the B voters, combined, add up to more than half

2. The A voters and the B voters, combined, add up to more than half
of the voters in the election.
of the voters in the election.


2. The A voters and the B voters all prefer both A and B to the other
3. The A voters and the B voters all prefer both A and B to C.
candidates.


3. The A voters are more numerous than are the B voters.
4. The A voters are more numerous than are the B voters.


4. Voting is sincere, except that the B voters refuse to vote A over anyone.
5. Voting is sincere, except that the B voters refuse to vote A over anyone.


5. Candidate A would be the unique winner under sincere voting (...in
6. Candidate A would be the unique winner under sincere voting (...in
other words, if the B voters voted sincerely, as do all the other
other words, if the B voters voted sincerely, as do all the other
voters).
voters).

7. The C voters are indifferent between A and B, and vote neither over the other.


'''Requirement:'''
'''Requirement:'''
Line 45: Line 46:
'''Some methods that pass the Chicken Dilemma Criterion:'''
'''Some methods that pass the Chicken Dilemma Criterion:'''


ICT, [[Symmetrical ICT]], [[MMPO]], MDDTR
ICT, [[Symmetrical ICT]], [[MMPO]], MDDTR, [[IRV]], [[Benham's method]], [[Woodall's method]]