If it's armor vs armor, Tony wins. Lex's power suits tend to be pretty simple. He's never made anything on the level of, say, the Extremis or Bleeding Edge armors.Lex is a lot smarter than Tony, but Lex is also way more arrogant and prone to stupid mistakes.
If they just squared up against each other in armors I think Tony would win.
If this was a long form chess match type of a battle that involved all of their resources.....IDK, it could go either way. You'd think Lex would win but that motherfukkers ego is on the same level as Doom's.
Business vs business, Lex. Lex may be arrogant and prone to screwing himself, but Tony is too and he's a worse business man than Lex. Tony's lost his company a couple times while LexCorp takes no losses. Plus, Tony has ethics and shyt, which will absolutely fukk you over in business.