It is not possible, from a same game, playing with several. If you're roommate or family, you will need to buy several times the game. Why did he not Blizzard allows connection of several people (even put a limit on a number of persons) in the game from the same home? Although still the need for internet connection to play either aberrant: I play mainly when I did not have Internet access, failed to Diablo 3! With a board game, one game is enough, why not for a video game?
Too bad, because blizzards games are good quality. I'm sure a balance is findable to both protect themselves but does not injure the home. I can only recommend to wait for a changing playing conditions.