Chicken dilemma: Difference between revisions

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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".
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".


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

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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]

Revision as of 04:08, 19 January 2014

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]