Jason -
In both comic runs of Batman vs Predator, batman of corse wins
In the non-cannon Batman Dead End - Batman defeats a predator and then is caught in the middle of a predator vs alien battle, even though it is not shown, any reasonable person would assume Batman is killed, and the predators would of course keep his head as a trophy.
I actually added real teeth to the trophy, it's starting to look really cool and disgusting