Based on this post:
my understanding of the Sportsmanship Badge (for up voting 100 competing answers) is that your answer must have a positive score and not be deleted.
Sometimes I answer a question at roughly the same time as another user, and the other person put in more details, so I delete my answer in favor of the other. On occasion, this will happen after we both get voted up.
Less often, but not uncommon, I'll answer a question, get a few up votes, then some one comes along and types out a beautifully detailed answer that encompasses mine and goes far beyond it. In some of those cases, I'll delete my answer since that answer makes mine obsolete.
My suggestion for the badge rules is that if you delete your answer that has a positive score and vote up a subsequent answer, then that should count towards the sportsmanship badge.