I have always Wondered why people want the Predator to fight the Arbiter (part of me thought it was because they had similar mouths, but I realized that that's stupid). I tend to try and find a connection that works for a Death Battle. The thing is the Predator is a hunter, the Arbiter is not. He should be fighting people like the strongest human hunter in fiction Kraven from Marvel, but that's just my opinion.

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*shrug* I don't know. Judge (Arbiter), jury (audience), and executioner (Predator)?