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Many times (In the movies and TV shows) Batman has threatened to kill The Joker. He has never carried out his threats because it would violate his conscience. There are many comics where Joker does die and I believe there is an alternative comic called 'The nail' where Batman kills The Joker.
Batman.
Joker
Joker arkham city would beat him up 2 reasons: The Injustice Joker would be tied up and Joker would kick him out of his lair. He would have Injustice Batman with him
Possibly out of a job.
The Joker would win, one he is friends with Batman, two he is awesome. Two he would start of with a beat from Batman, and start with the saying "Do you want to know how I got these scars?"
The Joker would not invited.
Batman always prevails in the end.
Mario dies when a turtle touches him. Batman can fight the Joker, and still walk away fine. Batman would win.
Most people would say it would be.... ROBIN. No its really is Joker because he pops up a lot and most Batman movies involve Batman fighting Joker.
there would be a huge uproar in gotham city it would be a cataclysmic event, everyone would freak, and Joker would take over the world eventually with the mobilized force of the penguin dude, scarecrow, catwoman, the Joker. and robin would die a terrible death by the towns people cause he didn't save Batman.
Hold the Joker's latest rap sheet together.