I'm not sure this analogy works though because the difference is that most game developers could choose to work in a different industry with the same skill set

I'm not sure this analogy works though because the difference is that most game developers could choose to work in a different industry with the same skill set and make a lot more. They nevertheless choose to be there and there are plenty of people who are willing to take their spots if they don't want to be there. I'm guessing once people get fed up enough they just leave which is much easier than forming some kind of special interest group or union.