Difference between revisions of "Chicken Dilemma Criterion"

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imported>MichaelOssipoff
imported>MichaelOssipoff
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'''Supporting definitions:'''
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'''Supporting definition:'''
  
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.
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The A voters are the voters who prefer candidate A to everyone else and vote A over everyone else. The B voters are the voters who prefer candidate B to everyone else and vote B over everyone else. The C voters are the voters who prefer C to everyone else and vote C over everyone else.
 
 
2. A particular voter votes sincerely if s/he doesn't falsify a
 
preference, or fail to vote a felt preference that the balloting
 
system in use would have allowed hir to vote in addition to the
 
preferences that s/he actually votes.
 
 
 
Falsifying a preference means voting X over Y and not preferring X to Y.
 
 
 
Failing to vote a felt preference means preferring X to Y and not voting X over Y.
 
  
  
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of the voters in the election.
 
of the voters in the election.
  
3. The A voters and the B voters all prefer both A and B to C.
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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 are more numerous than the B voters. The C voters are more numerous than the A voters, and more numerous than the B voters.
 
 
 
5. Voting is sincere, except that the B voters refuse to vote A over anyone.
 
  
6. Candidate A would be the unique winner under sincere voting (...in
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4. The A voters vote B over C. The B voters refuse to vote A over anyone.
other words, if the B voters voted sincerely, as do all the other
 
voters).
 
  
7. The C voters are indifferent between A and B, and none of the C voters vote A or B over the other.
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5. None of the C voters vote A or B over the other.  
  
 
'''Requirement:'''
 
'''Requirement:'''

Revision as of 14:13, 11 January 2014

Definition

Supporting definition:

The A voters are the voters who prefer candidate A to everyone else and vote A over everyone else. The B voters are the voters who prefer candidate B to everyone else and vote B over everyone else. The C voters are the voters who prefer C to everyone else and 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 candidates disliked by both the A voters and B voters. Thereby they helped {A,B} against worse candidates. 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