Optimal auctions, and mechanism design in general (ie screening problems) is a very useful application of game theory.
But caution: game theory is not about winning games, but finding equilibria. You might be more interested in behavioral game theory (how people learn the games, k-level thinking etc) if you want to get a leg up.
But caution: game theory is not about winning games, but finding equilibria. You might be more interested in behavioral game theory (how people learn the games, k-level thinking etc) if you want to get a leg up.