It feels slightly weird to be forced to employ such a tactic, but at SO's scale it might just be necessary.
I continued to improve the post, including the feedback from downvoters. However, I had to flag the post to have a mod reopen the question and none of the downvoters have returned to modify their vote.
It's annoying to end up with negative feedback after attempting to be helpful and taking time to improve a post. Maybe encourage closers to come back after a post is reopened?
For reference, the post: http://stackoverflow.com/questions/10748274/faces-are-black-...
main trouble with this is that some simple, dumb answer may have been marked correct by then.
I do wonder to what extent it's possible to participate meaningfully on Stack Overflow with those goals completely separated.
The reason they stick to this system: They prefer people answering quickly. This is the perfect incentive to get people to answer ASAP.
And to the argument "but I have a much better, more thought out answer", most people will say "Yes, but I want my answer now. I don't care about the history behind git, I want to know how to stage removed files".
Now there are a larger number of answerers and a bigger pool of people wanting/needing to gain rep by writing the quickest (but not necessarily correct) answer. This leads to a state where people don't bother clicking on questions with an answer on the front page - because they are already 'behind' in the race