Why shaking the jar is not enough
Paint contains heavy pigment particles and a lighter binder. After a few weeks standing, a firm sediment forms at the bottom that shaking will not dissolve: you are only agitating the thinner layer above it. The result is a coat that fails to cover, sits a shade off and behaves unpredictably once dry. A ball inside the jar breaks that sediment up mechanically.
How to choose
Balls by material
Glass balls are lighter, chemically inert and safe in every paint type. Stainless balls carry more mass, so they shift denser pastes and the sediment in metallic paints, where the metal pigment drops hardest. Two or three to a jar is the sensible number; more only steals volume.
Stirrers and sticks
Wooden sticks and plastic paddles reach where a ball cannot: a mixing cup, a palette, or a custom shade you are building. For one-off work they are practical for another reason too, since they go in the bin afterwards and leave nothing to clean.
Shakers for a bigger workload
If you hand-shake a dozen jars before every session, a magnetic or rotary shaker starts to pay for itself. It works evenly, takes far less time and spares your wrist. It is especially welcome with thicker oil paints and paste-like products.
What this works best with
Properly mixed paint is the foundation of all work with model paints, and doubly so when it goes into an airbrush, where one lump of pigment blocks the nozzle on the spot. Bench space for a shaker and a row of cups is a job for the workbench section.