On Aug 27, 2010, at 4:15 PM, Jonathan Lundell wrote:

On Aug 27, 2010, at 12:48 PM, robert bristow-johnson wrote:

with Score and Approval, it's easy to mark your favorite candidate (Score=99 or Approval=1). and we know that Satan gets Score=0 or Approval=0. then what do you do with other candidates that you might think are better than Satan? that question has never been answered by Clay. and any answer must be of a strategic nature.

That is, to my mind, a fundamental problem with cardinal-rating systems--approval, borda, range, etc. Except for some trivial cases (notably two-candidate elections), the voting act is necessarily a strategic exercise.

in my opinion, if you can break down a multi-candidate election into two-candidate elections where the end result would not be different (the Condorcet winner would be elected) then i think you've gotten past the burden of strategic voting.

in my opinion, when Candidate A is preferred by a majority of voters to Candidate B, then, if Candidate B is elected, some kind of anomaly or pathology (that might encourage one to vote strategically in the future).

With an ordinal method (IRV, Condorcet (though one could, I suppose, specify a non-ordinal cycle breaker), Bucklin) it's at least possible (and usually a good idea) to cast a sincere ballot.

i just think that the strategy of swinging an election from the Condorcet winner into a cycle is just a risky strategy. you never know who will come out on top; your worst enemy might just as well as the centrist may or as well as your candidate. with something like Schulz (or Ranked Pairs which does not result in a different candidate with a Smith set of 3, and bigger than 3 seems to me even more unlikely than that of getting a cycle anyway), you are emphasizing more decisive elections in settling the ambiguity of a cycle.

say Ranked Pairs was the law, what kind of realistic strategizing can a party or group of candidate supporters do? that example of tossing a close election between RC (for radical center) and M (the centrist candidate who is also the Condorcet winner if sincere ballots are cast) is, in my opinion, too contrived to be a secure strategic guidance. any strategy that can just as well backfire, is no strategy.

Why the latter is a good thing is a separate discussion...


why casting a sincere ballot is a good thing or not? i would be interested in reading such a discussion. and, maybe even, piping in.

--

r b-j                  [email protected]

"Imagination is more important than knowledge."



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