I find it odd that you answer lots of questions here and seem to know poker but don't know what a ring game is.
A ring game is a poker game
where you can come and go into the game as you please. You play with your own money and leave with whatever you win. The game continues until everyone leaves. People will come into the game and leave the game so you'll play with many new players or the same ones depending on who comes and goes. It is not a tournament. So if you run out of money, you can buy back in any time. You'll see them on the poker sites
as table games from penny's on up. HTH