According to the announcement by Jarrod, the logic for the Sportsmanship badge only counts votes that a user casts after posting his own answer. I questioned that logic in a comment under the announcement; here's the gist:

that's a good point about the Sportsmanship logic possibly discouraging reading all the existing answers.. we'll discuss it. (source)

Has this discussion happened? Just now, I went to a question, started writing an answer, upvoted the existing answer, remembered the timing rule, immediately removed my upvote, finished/posted my answer and then found that I couldn't re-upvote the first answer because it'd been 11 minutes since the initial vote was cast.

In short, I would like to officially feature-request this change to the Sportsmanship logic: allow votes you cast before you submit your own answer to count towards the badge.

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+1, That's typically how I use the site as well. If I have something to add by the time that I get to the bottom, I add it. –  Tim Post Jan 25 '11 at 1:44
Humans are naturally wired to be badgewhores, nothing wrong with that :) –  wildpeaks Jan 25 '11 at 2:50
Yay, I got one :) –  Tim Post Jan 25 '11 at 10:47

The restriction that you must upvote other answers after answering the question yourself has been lifted. You just need to have upvoted a competing answer.

And there was much rejoicing.

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Bounty incoming in 20 hours. Thanks! –  user149432 Jan 25 '11 at 4:55
Does it mean that upvotes which are cast after your answer doesn't count anymore? That would be a good thing though. It prevents badge gaming by upvoting old competing answers where yours is anyway already the top/accepted answer. –  BalusC Jan 25 '11 at 5:00
@BalusC Based on what I've seen, and the wording of the discussion, they still count. How is spreading the wealth, even though your answer has been accepted or is the highest voted, gaming? Seems to be exactly why the Sportsmanship badge exists. –  user149432 Jan 25 '11 at 5:12
@Mark: to vote because of the badge, not because of the sportsmanship. The ones who stop after they get the badge. –  BalusC Jan 25 '11 at 5:15
@BalusC badges are there to reinforce and encourage positive actions, not to weed out good intent from bad intent. If the end result is the same, does it really matter if someone did it for the sake of getting the badge or if they did it because they're a good person? –  user149432 Jan 25 '11 at 5:16
@Mark: Well, I think you've got a point. Maybe. But if it was me, I would increase the vote count border. Right now it costs basically less than 4 days to get it. –  BalusC Jan 25 '11 at 5:23
@BalusC I edited to clarify. Just the fact you upvoted competing good content is enough. –  Jarrod Dixon Jan 25 '11 at 5:36
@Jarrod - Thanks, Just got mine :) Ironically, @Popular Demand hasn't gotten one yet. I was sure that changing this would put the number of people who have it at over 1k, but amazingly it's still lower than 500. –  Tim Post Jan 25 '11 at 8:33
@Tim, I didn't really expect one. I rarely post answers to questions if I agree with one or more existing answers, so there aren't many competing answers around for me to upvote. I figure I'm halfway there.</wildSpeculation> –  Pops Feb 17 '11 at 18:08