Joker (TDK) vs. Jigsaw

Each psychopath gets 1 day of prep.
Battle happens in creepy, abandoned building

Jigsaw requires a shitton of prep compared to Joker, and is in worse health. Joker ftw.

What is Jigsaw trying to do? Is he just trying to kill The Joker or teaching him to appreciate life? Either way, I don't see Jigsaw ever finding him. That dude can hide in plain sight.

Jigsaw also relies on people have more normal ethical codes and trapping them in this way. Joker is too Chaotic Neutral for him to decipher, and if this is just a straight up brawl, Joker wins.

Plus, Joker would straight up enjoy Jigsaw's traps. TDK showed that he was a hardcore masochist when Batman was beating him up and LAUGHED when he nearly fell to his death.