Reddit mentions of The Joker Psychology: Evil Clowns and the Women Who Love Them (Popular Culture Psychology)

As someone who does a lot of meta and academic literary discussion on comics, I am 100% certain that a paper exists about psychopathy and the Batman universe; it might not be about Bruce and psychopathy (most essays about psychopathy related to Batman that I've read have focused on either the Joker or Two-Face), but there have definitely been papers written about the philosophy, ethics, morality, and psychology of Batman and the Batfamily. You're going to find most of these types of discussions in the field of comics studies and academic historical/literary criticism rather than psychology due to the nature of the topic. For some interesting paper/essay collections, see:

• Batman and Philosophy
  
• Batman and Psychology
  
• Batman and Ethics
  
• The Psychology of Superheroes
  
• Superheroes and Philosophy: Truth, Justice, and the Socratic Way
  
• Even A Superhero Needs Counseling: What Superheroes and Super-Villains Teach Us About Ourselves
  
• War, Politics and Superheroes: Ethics and Propaganda in Comics and Film
  
• What's the Matter With Batman?: An Unauthorized Clinical Look Under the Mask of the Caped Crusader
  
• The Joker Psychology: Evil Clowns and the Women Who Love Them
  
• The Caped Crusade: Batman and the Rise of Nerd Culture
  
• Batman Unmasked: Analyzing a Cultural Icon
  
  It uh....honestly might also be worth it to read into the 'Seduction of the Innocent' controversy and relevant academic papers about the work, given that it directly involved Batman comics. Books like Seal of Approval: The History of the Comics Code and The Ten-Cent Plague: The Great Comic-Book Scare and How It Changed America would be particularly helpful there.
  
  Edit: Also just as a sidenote, as you mentioned in another comment Batman as a psychopath isn't even a hot take; it's a lukewarm take made by people who don't actually read comics. Batman, as he is generally portrayed in mainverse comics, is decidedly not a psychopath.