Are there any stories authors writing against each other? Or stories about dual protagonist who are both the antagonist in each others stories?

I mean is there any fiction written by multiple authors basically writing against each other kinda like a chess match or something? I hope that makes sense almost like one author writes the protagonist and the other writes the antagonist.

Or alternatively a story written from like a side A side B stand point with each others main character being the villain in the others story?