Batman vs Iron Man
Batman and Iron Man are headed toward confrontation. Initially, they have general knowledge of each other (something like what they might have from the JLA/Avengers crossover). Before they clash, they have, in two scenarios:
1. One week prep time.
2. One year prep time.
Fight is in Anycity, USA.
Bruce must surely realize he can't fight Tony toe-to-toe. Likely, he will go for some form of armor neutralization via some Bat tech.
Tony will probably see Bruce is a top-notch gadgetman, and not having armor he will likely conclude that the Batman will try to neutralize his Iron Man advantage.
Who will out-think / out-tech who?