What you probably could do is charge money for using the computer, so you're taking money for the time used, not the game.
Some EULA's are very strict, but some only says that there is one license per seat, that's it. Meaning you can't install the game on five computers just because there's probably only one that will be used at a time, you would need five licenses.
When it comes to earning money on letting others play the game, that's probably somewhere deep in that EULA as well. It seems to easy to just install any PC game you'd buy for $50 and be settled when you're making money on the players, and not the developer.
I think for arcade machines you had all rights if you bought the machine, but with lease you paid royalties.
You could probably sell it without any problems - it's a computer with licensed games, but you wouldn't be able to guaranty the buyer that he'd be able to make money on it.
If you're serious about building multiple driving cabs and installing games on them to earn money on it, you could probably contact the developers and see if you can get any license for it.
In the end, you'd probably want a different version on the cabinet anyways, not a game which everyone could just play at home.