That could be useful, if it turned out he was playing a deeper game than they thought.

If he's playing a deeper game then it's one I'm not aware of.

Harrison played a deep game, but one thing was sure.

She was playing some kind of deep game, that one.

After the first clash of arms, you play a deeper game than they do.

Or they could be playing some sort of deep game that hadn't made itself apparent yet.

Someone is playing a very deep game, I wonder whether it's him or her?

And now I was playing an even deeper game that she had not yet guessed.

The words, when considered together, may offer a deeper game.

Either that, or there's a deep game I don't know about.