double elimination in final 3 rule question

[EvilSteve]

Big stack minraises on the button, I'm in the small blind with JJ and push, big blind who has slightly less chips than me and has generally been playing like a monkey calls with Q2. Button calls with AK, he hits an ace, the end. Since I have the big blind monkey outchipped I take second. But, what if my stack had been equal to the monkey's stack, who takes second then? Or do we evenly split 2nd and 3rd place prize money?