Re: [EM] Arrow's axioms an alternative to elections

2004-03-12 Thread Ernest Prabhakar
On Mar 10, 2004, at 4:41 PM, Philippe Errembault wrote: The biggest problem I see is, who gets to define the rules for what gets decided at which level? If the authority for that is too dispersed, you get a logjam. If too centralized, you risk devaluing certain levels which would seemingly

Re: [EM] Arrow's axioms an alternative to elections

2004-03-12 Thread Philippe Errembault
The biggest problem I see is, who gets to define the rules for what gets decided at which level? If the authority for that is too dispersed, you get a logjam. If too centralized, you risk devaluing certain levels which would seemingly defeat the whole purpose of the arrangement. Yes, ok.

Re: [EM] Arrow's axioms

2004-03-10 Thread Kevin Venzke
Ken, --- Ken Johnson [EMAIL PROTECTED] a écrit : Arrow's IIA criterion may not be realistic or meaningful, but I believe CR does satisfy the criterion. I agree with you. But if CR can't meet IIA in a meaningful, practical sense, I don't see the argument in favor of CR over ranked methods.

Re: [EM] Arrow's axioms

2004-03-10 Thread [EMAIL PROTECTED]
Kevin Venzke wrote: But if CR can't meet IIA in a meaningful, practical sense, I don't see the argument in favor of CR over ranked methods. The deeper points to consider are that CR isn't the only rating method, and ratings aren't the only alternative to rankings. Forest Simmons outlined

Re: [EM] Arrow's axioms an alternative to elections

2004-03-10 Thread Philippe Errembault
h... Now that I re-read the text, I realise that your problem about decision taking and collapsing alternatives, probably came from here: Actually, it was along the lines of 'forcing linear' decisions, by analogy with the way that quantum states evolve smoothly over time until a

[EM] Arrow's axioms

2004-03-09 Thread Ken Johnson
Date: Tue, 9 Mar 2004 00:41:56 +0100 (CET) From: =?iso-8859-1?q?Kevin=20Venzke?= [EMAIL PROTECTED] Ken, --- Ken Johnson [EMAIL PROTECTED] a crit: My impression was that Arrow stipulated several basic criteria that any "reasonable" social choice system should satisfy, with

Re: [EM] Arrow's axioms an alternative to elections

2004-03-09 Thread Ernest Prabhakar
Hi Philippe, Thanks for your thought-provoking reply. I get the impression you live in a slightly different world than I do, so I doubt we'll ever achieve a full understanding, but I wanted to touch on a few salient points. This is the good ol' classical way of viewing human being, but it

Re: [EM] Arrow's axioms an alternative to elections

2004-03-09 Thread Philippe Errembault
- Original Message - From: Ernest Prabhakar [EMAIL PROTECTED] To: Philippe Errembault [EMAIL PROTECTED] Cc: [EMAIL PROTECTED] Sent: Wednesday, March 10, 2004 1:36 AM Subject: Re: [EM] Arrow's axioms an alternative to elections Hi Philippe, Thanks for your thought-provoking reply. I get

Re: [EM] Arrow's axioms

2004-03-06 Thread Markus Schulze
Hallo, to demonstrate that a given election method violates a given criterion it is sufficient to find a single example where this election method violates this criterion. When in this very special example each voter casts a complete ranking of all candidates then this does not mean that you have

Re: [EM] Arrow's axioms an alternative to elections

2004-03-06 Thread Ernest Prabhakar
Hi Philippe, On Mar 5, 2004, at 11:03 PM, Philippe Errembault wrote: My point is that if you want to rank multi-dimensional information, you will have to project your space to a one-dimensional space. This will be done using a function that, especially for human beings, will depends on your

Re: [EM] Arrow's axioms an alternative to elections

2004-03-06 Thread Philippe Errembault
Hello Ernie, (please forget my previous mail/ I forgot to redirect it to the list, and I forgot to end one paragraph) My point is that if you want to rank multi-dimensional information, you will have to project your space to a one-dimensional space. This will be done using a function that,

[EM] Arrow's axioms

2004-03-05 Thread Ken Johnson
Date: Thu, 4 Mar 2004 23:27:06 +0100 (CET) From: =?iso-8859-1?q?Kevin=20Venzke?= [EMAIL PROTECTED] Arrow's axioms could well be justifiable, but his proof doesn't provide the justification. There may be good reasons why CR should be rejected as a viable election method, but

Re: [EM] Arrow's axioms

2004-03-05 Thread Kevin Venzke
Ken, --- Ken Johnson [EMAIL PROTECTED] a écrit : This is like saying There may be good reasons why Random Ballot should be rejected as a viable election method, but Arrow's premises don't elucidate those reasons because if the theorem were generalized to encompass dictatorship methods, its

Re: [EM] Arrow's axioms

2004-03-05 Thread Ernest Prabhakar
- From: Ken Johnson To: [EMAIL PROTECTED] Sent: Friday, March 05, 2004 7:34 PM Subject: [EM] Arrow's axioms Date: Thu, 4 Mar 2004 23:27:06 +0100 (CET) From: =?iso-8859-1?q?Kevin=20Venzke?= [EMAIL PROTECTED] Arrow's axioms could well be justifiable, but his proof doesn't provide the justification

Re: [EM] Arrow's axioms

2004-03-05 Thread Forest Simmons
On Fri, 5 Mar 2004, Ernest Prabhakar wrote: On Mar 5, 2004, at 5:45 PM, Philippe Errembault wrote: Arrow's axioms do NOT apply to real world, since he wants to make ranked results from ranked individual choices, while strict ranking of preferences is incompatible with human nature. Hi

Re: [EM] Arrow's axioms

2004-03-05 Thread Forest Simmons
On Fri, 5 Mar 2004, Ken Johnson wrote: snip Kevin, It isn't evident. It is reasonable to stipulate non-dictatorship axiomatically because this principle is non-controversial and nobody is championing dictatorship as a viable election method. On the other hand, if the objective of

Re: [EM] Arrow's axioms an alternative to elections

2004-03-05 Thread Philippe Errembault
Hi Ernest, I hope we understand each other's. Since English is not my mother tongue, I could pass over some misunderstanding without realising it. I will try to be clearer. My point is that if you want to rank multi-dimensional information, you will have to project your space to a

Re: [EM] Arrow's axioms

2004-03-05 Thread Philippe Errembault
: Philippe Errembault [EMAIL PROTECTED]; Sent: Saturday, March 06, 2004 2:20 AM Subject: Re: [EM] Arrow's axioms On Fri, 5 Mar 2004, Ernest Prabhakar wrote: On Mar 5, 2004, at 5:45 PM, Philippe Errembault wrote: Arrow's axioms do NOT apply to real world, since he wants to make ranked

[EM] Arrow's axioms

2004-03-05 Thread Ken Johnson
Date: Fri, 5 Mar 2004 21:38:59 +0100 (CET) From: =?iso-8859-1?q?Kevin=20Venzke?= [EMAIL PROTECTED] I should have been clearer. You said that if the theorem were generalized to encompass cardinal methods, its conclusion would be that rank methods cannot satisfy the axioms whereas CR can. This

Re: [EM] Arrow's axioms an alternative to elections

2004-03-05 Thread Dave Ketchum
I see hope in what Phillippe writes below. Perhps what I wrote in 1998 will encourge more effort: --- Something is needed to strengthen by the people. An alternative method of representation is offered for thought: * Everyone retains