Re: CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-27 Thread Ernest Prabhakar
On Feb 27, 2004, at 10:35 AM, Adam Tarr wrote: Ernest Prabhakar wrote: For a longer version, I'd say: "The optimal strategy for CR is equivalent to that for Approval, but in situations with detailed information and large voting power the effective strategies might differ

Re: CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-27 Thread Adam Tarr
Ernest Prabhakar wrote: For a longer version, I'd say: "The optimal strategy for CR is equivalent to that for Approval, but in situations with detailed information and large voting power the effective strategies might differ." It's actually the combination of large voting p

Re: CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-27 Thread Ernest Prabhakar
So, I think we have a pretty solid handle on the nature of the differences between optimal CR and approval strategy. I'm comfortable with the statement, "CR is strategically equivalent to Approval, for an individual voter in a large election". Can you sum it up in a more clever or succinct wa

Re: CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-27 Thread Adam Tarr
I wrote and Ernest Prabhakar responded: (I) 40% chance: A: 101,000 B: 102,000 C: 104,000 (II) 60% chance: A: 100,000 B: 104,000 C: 105,000 Then the optimal strategy is to give B 5 points if the preference gap between C and B is at least twice as big as the preference gap between A and B, and one

Re: CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-26 Thread Adam Tarr
Ernest Prabhakar wrote: However, it seems like there can well be extreme cases, due to either detailed information or sub-optimal strategic behavior by opponents, where a different strategy would actually be more -effective- (optimal doesn't mean perfect). Thus, in those cases, the most effec

Re: CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-26 Thread Ernest Prabhakar
On Feb 26, 2004, at 5:46 AM, Adam Tarr wrote: Ernest Prabhakar wrote: However, it seems like there can well be extreme cases, due to either detailed information or sub-optimal strategic behavior by opponents, where a different strategy would actually be more -effective- (optimal doesn't mean per

Re: CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-26 Thread Adam Tarr
At 08:55 AM 2/26/2004 -0800, Ernest Prabhakar wrote: Suppose the election is CR with three candidates (A, B,C) who must be ranked from 1 to 5. Let us say that based on the information that Voter X has, the likely ranking by other voters will end up being either: (I) 40% chance: A: 101 B: 102

Re: CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-26 Thread Ernest Prabhakar
Hi Adam , Good work Ernie. Thanks. So this would be just such a case, where due to the extremely precise knowledge and the hair's-breadth nature of the election, the marginal utility for each additional point for candidate C is not constant. If we were to make this election have a plausible l

CR == Approval? Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-25 Thread Ernest Prabhakar
Hi all, On Feb 25, 2004, at 9:36 PM, Ken Johnson wrote: CR is strategically equiovalent to Approval: In CR, you maximize your expectation by giving maximum points to those candidates for whom you'd vote in Approval, and giving minimum points to the rest. This statement has always puzzled me. I

Re: [EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-25 Thread Adam Tarr
Ken Johnson wrote: Suppose my preference ranking (inferred from my "sincere" CR ratings) is A > B > C. Naturally, I should strategically give A the highest possible rating and C the lowest. If I know A will beat C, I should give B the lowest rating to ensure that A wins over B. If I know C will

[EM] Re: Election-methods digest, Vol 1 #517 - 3 msgs

2004-02-25 Thread Ken Johnson
Message: 3 Date: Wed, 25 Feb 2004 01:15:41 + From: "MIKE OSSIPOFF" <[EMAIL PROTECTED]> Subject: [EM] There's nothing wrong with Average Rating. ... CR is strategically equiovalent to Approval: In CR, you maximize your expectation by giving maximum points to those candidates for whom you