I would definitely continue with the orange color - the bars are not enough to visually separate your living room from the game room, so the space still "reads" like one area.
If you paint your game room a different color, the overall look will get way too jumpy and circus-ey, when viewed from the first floor, because you already have 3 drastically different colors going on there.
So I would just use the same orange (with deep gray accents in the decor). To me, it's a perfect color for a game room - it's fun and has a punch
Hope this helps,