Machiavellianism may come close to the behaviour you are describing:
"the employment of cunning and duplicity in statecraft or in general conduct". Due to their skill at interpersonal manipulation, there has often been an assumption that high Machs possess superior intelligence, or ability to understand other people in social situations.
The word comes from the Italian Renaissance diplomat and writer Niccolò Machiavelli, who wrote Il Principe (The Prince), among other works.
(Wikipedia)
Answer from user66974 on Stack ExchangeVideos
What does "To assert one's dominance" mean?
people who feel the need to assert dominance are pathetic
Word/phrase asserting authority, knowledge, or dominance - English Language & Usage Stack Exchange
How to assert dominance in social situations? (from an INTP)
If you reach out to shake my hand and have your palm facing straight down, I've known you for 3 seconds and you've already told me you're a bit of a twat. It's so un natural. I know what you're doing, I just don't care. Even if I did care, what's the "Counter?" I put my hand on top of yours, grabbing the back of your hand and shake that?
That's the thing about these stupid games is the only way you win is if you're the only one playing. If two people play, you both just look like dipshits
Like we all know the guy who, anytime you're walking somewhere, he needs to be two or three paces ahead of everyone. Well what if I decide to play this game too? Now we're having a speedwalking race 20 feet ahead of the group. Dipshits. One time I was walking with that guy alone and I just stopped walking and started reading a sign. He kept going for like 30 feet around the corner, probably still talking to himself. He came back fuming, lmao. I recognize the irony here, but I feel like it's different.
I usually just ignore it. They aren't winning anything apart from within their own head. I guess that's the annoying part though, is it shows how they view themself in relation to you
Machiavellianism may come close to the behaviour you are describing:
"the employment of cunning and duplicity in statecraft or in general conduct". Due to their skill at interpersonal manipulation, there has often been an assumption that high Machs possess superior intelligence, or ability to understand other people in social situations.
The word comes from the Italian Renaissance diplomat and writer Niccolò Machiavelli, who wrote Il Principe (The Prince), among other works.
(Wikipedia)
I'm going to go with domineering, though the safe thing would be to ask for an example sentence where you hope to use the word.
domineer
Assert one’s will over another in an arrogant way
... because I am picturing this person domineering a conversation.
Another potential word is manipulative, which has some good synonyms like machiavelian.
mendatious might work though I'm not that confident on the connotations beyond the dictionary defintions.