Use the toolbar to alert me when I have a game ready to play.
Place an alert next to "My Games" either displaying "NEW," "READY," or "x" number when a game becomes ready for me.
Similar to the alert for PM's or wall posts, let me know when I'm cruising other parts of the site that I need to come back and play. Since the toolbar is always there, having it show the alert when a page refreshes will prevent people from constantly having to check teir email or click away from what they are doing to check "My Games," then come back to their task.