I've never had an issue with animals, even a pack of wild dogs that decided to "try" me.. the trick with is to control your fear (not easy, adrenaline is a !@#$ to control), realize that YOU are higher in the food chain, and stand your ground. If they attack, then kill them, it's that simple.
I've never been around bear country, so not sure if that tactic would work on them, but it does work on dogs. The only thing is though is that it might not work if the dog has rabies, since rabies makes the animal "not right in the head".
Animals have the uncanny ability to sense fear in others, and also when they should be afraid.
edit: I should also add that I do NOT condone senseless killing of any animal and I truly abhor "sport hunting". However, if it comes down to either me or an animal, I will choose myself every time.