A novel about an individual battle between two geniuses, with a mystery and detective character

I want a novel where the protagonist is a very genius and maybe anti-hero, Where the main axis of the story is an individual battle of wits between two geniuses, Deep characters, epic dialogues and a breathtaking story
I like the police and mystery genre, which depends on intelligence and cunning, and I want strong psychological wars.

like light (kira) from death note
ayanokoji from C.O.T.E
raskolnikov from crime and the punishment

Give me the best face to face intelligence psychological wars!