Joker Vs Batman (twist-ness)

Joker is given Qwardian power ring and Batman Hals power ring.
both given two months of training and fight a deathmatch over gotham city.

thoughts?

Good fight. I'm gonna give it to the joker. Simply because the shit that guy could come up with would blow our minds. scared I would be very scared of the joker with anything that let him bring his imagination to life.

Batman, because he already has much superior knowledge of the rings and how they operate.

did anyone read batman darkest knight the elseworld he becomes the new GL and stops the accident that would turn the joker into well........the joker BUT sinestro shows up and for some reason absorbs joe chills mind or something he starts losing it and starts acting like the joker.........so im wondering how he was in that story.