The Game Accused of Assault

We're told the rapper has been named in a police report ... filed by a man who claims he was attacked by The Game in front of Colony nightclub.

TMZ obtained footage of the incident -- which shows The Game engaged in a physical altercation ... but it's unclear if the rapper actually threw a punch.

After the initial skirmish, a fired up Game can be seen yelling in frustration -- and was restrained by his friends.

We're told the LAPD is investigating the incident ... but no arrests have been made.