Could you use his tricks to outwit him?

His "tricks" would be like entering into a power play that could easily escalate the chaotic mental orchestration. The psychopath would recognize the game you are using to try to undermine or control him.

I wouldn't try to use his game to outwit him even if you are more intelligent or even if you area a great subversive actress.
There may be times to use his game to get what you want but it would exhausing to stay in that frame of mind.

I'd use the tried and true behavior of Non-Reaction.
Display a flat affect to his attempts to sway, dominate or lie. Have a pre-prepared list of things to say to diffuse his words or behaviors, such as;

"I'm sorry you feel that way."
"Thats too bad."
"Uh-uh. I see."
Just neutral statements. Nothing more.

Deflect his wiley ways to mundane activites or change the subject.

"Is Survivor on tonight?"
"These cabinets are awful. I think I'm going to paint them."
"Geez. Look at what the neighbor kids did to that garage door."
Anything. Anything at all to STOP his command of the situation.
He won't like it. But you'll not have entered into his world of crazy-making.

I dunno. If you had a specific incident as an example it would help define what kind of psychopath you are describing.