There is a wireless solution.
It involves a haswell cpu, and this thing.
I picked one of these up from newegg as an included sale with my nvidia shield. It works with most recent android phones (and the shield) through miracast and also 4th generation intel processors.
I'm not really sure about the fluidity of the stream, while i've tried it with my lenovo yoga 2 - I have yet to test it during a game.