Re: [EM] Majority Criterion, hidden contradictions

2006-11-10 Thread Abd ul-Rahman Lomax
At 05:08 PM 11/9/2006, Paul Kislanko wrote: Regarding: Approval satisfies Majority rule, but not the Majority Criterion as interpreted. A majority of us VOTERS do not agree with the statement, even those of us who might or might not agree with the interpretation. This is entirely unintelligible.

Re: [EM] Majority Criterion, hidden contradictions

2006-11-09 Thread Abd ul-Rahman Lomax
This is the meat of it: As the Majority Criterion is being interpreted -- I have to say that Mr. Cary's arguments are quite convincing, taking me within what could be called validation distance of simply agreeing with him -- Approval Voting does not satisfy the Majority Criterion. However, it

Re: [EM] Majority Criterion, hidden contradictions

2006-11-08 Thread Michael Poole
Abd ul-Rahman Lomax writes: At 06:31 PM 11/8/2006, Michael Poole wrote: Abd ul-Rahman Lomax writes: [snip] Now, it does appear to me that the people who have explained the MC in the past have been to some extent aware of the problem, which is why we get vague language like if the voters

Re: [EM] Majority Criterion, hidden contradictions

2006-11-08 Thread David Cary
As with the Independence of Irrelevant Alternatives (IIA) Criterion, it is perfectly acceptable to interpret the Majority Criterion (MC) as being a theoretical assertion about a certain relationship between voter mental preferences and the outcome of an election. Just because mental preferences

Re: [EM] Majority Criterion, hidden contradictions

2006-11-08 Thread Chris Benham
Abd ul-Rahman Lomax wrote: If a method allows voters to express a strict preference, and Approval does, but it also allows voters to do something else, does this mean that voters who *have* expressed a strict preference, in the manner that the election method permits, are to be considered as

Re: [EM] Majority Criterion, hidden contradictions

2006-11-07 Thread Michael Poole
Abd ul-Rahman Lomax writes: At 11:29 AM 11/6/2006, Michael Poole wrote: By the majority criterion, a candidate X should win if a majority of voters answers affirmatively to the question 'Do you prefer X to every other candidate?'. A voter who cannot honestly or easily answer yes to

Re: [EM] Majority Criterion, hidden contradictions

2006-11-07 Thread Abd ul-Rahman Lomax
At 08:35 AM 11/7/2006, Michael Poole wrote: Abd ul-Rahman Lomax writes: No voting method can use preferences that are not expressed. Linguistically, the Criterion contains a lost performative -- or something like that. *How* do the voters answer affirmatively. It could only mean that

Re: [EM] Majority Criterion, hidden contradictions

2006-11-05 Thread Abd ul-Rahman Lomax
At 08:01 AM 11/2/2006, Michael Poole wrote: The Majority Criterion is an objective criterion. It looks that way. When you look closer, there are some ragged edges. What does prefer mean? Is there a threshold in preference strength below which it is effectively the same rating. I.e., the voter

Re: [EM] Majority Criterion, hidden contradictions

2006-11-02 Thread Michael Poole
Abd ul-Rahman Lomax writes: I've been realizing just how defective the Majority Criterion is. People tend to assume that the Majority Criterion is an important characteristic of any proper democratic election system. Yet the Criterion itself suffers from a number of serious problems. (1)

[EM] Majority Criterion, hidden contradictions

2006-11-01 Thread Abd ul-Rahman Lomax
I've been realizing just how defective the Majority Criterion is. People tend to assume that the Majority Criterion is an important characteristic of any proper democratic election system. Yet the Criterion itself suffers from a number of serious problems. (1) It is clear that any method which