A valve assembly for controlling fluid communication between fluid chambers in a device such as an inflatable device includes a valve body having first and second ports for fluidly connecting to first and second fluid chambers, and defining a plurality of primary valve seats in series between the ports. A plurality of compound valves are within the valve body and each includes a primary valve member movable to close or open one of the primary valve seats, and a secondary valve member movable to close or open a secondary valve seat in the primary valve member.