Usually, all members of the team have their own doubling cube vs. the box, and can double regardless of what other team-mates do, and they can accept or refuse a double independently of the other players. The result is that, although they are using a single backgammon set, each member on the team is playing a separate game against the box.
Typically, each team member has their own doubling cube versus the box, allowing them to double independently of other teammates' actions. This results in a unique game scenario where individual players compete against the box using separate games.