So, this is not a physical battle, but a mental battle. Which one of these two characters is the better mastermind/strategist/analyzer/manipulator? Who is better at finding and exploiting the weakness of others?
Also, if what if there roles were reversed? What if Batman's archenemy was Thor and he had to find a way to take him down? Could he? And could Loki figure out a way to take down the Justice League?
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