Family Man: Staying on the game until it's your opponents turn should probably be the default behaviour. However you'll soon get to it again, and when it's the only game left where it's your turn...
(hide) If you are waiting for your turn, click on "change" next to the "refresh" on the main page, then set refresh the page to 30 seconds to get your turn to move displayed faster. (Servant) (show all tips)