I've been doing some research on hall effect and POTs, and I'd like to share what I've found, and see if I have anything wrong.

POT, short for potentiometer, is a variable resistance, mechanical device.
V=I*R, or volts equals current times resistance. If applied to a POT, V stands for the voltage drop across the POT, I stands for the current that flows through it, and R is the (varying) resistance it has. So if the resistance goes up, either the voltage drop increases, or the current the flows through drops (or a combo, which is ignored). Usually (?) the current stays about the same, and the voltage changes (ie: voltage drop increases as resistance increases). (I know there are times when it's the opposite, but usually the talk is as if the voltage changes.)
Hall Effect is variable voltage, depending on magnets.
V=I*R. If applied to a hall effect sensor, V is the (varying) voltage drop, I stands for the current, and R stands for the resistance. So if the voltage drop increases, either the current goes up or the resistance goes up (or a combo, which is ignored). From what I read, Hall Effect has little effect on the current, so the current usually stays the same and the resistance increases.
Examples:
A 100K POT with a 5 V+ source can have a max voltage drop of 5 V and a max resistance of 100k ohms, so 5 V = I * 100K ohms, or I = 0.05 mA.
One hall effect sensor I saw, with a 5 V+ source and 1 milliamp current, can have a max 4 V+ drop ouput (from 4.5 to 0.5), so 4 = 0.001 * R, or max R = 4K ohms, which is close to the arcade standard 5K POT. These are probably interchangable.
To find the POT equivalent hall effect sensor and vice versa, find the stats and use the V=I*R equation.
I don't know the Atari Hall Effect sensor voltage range or the voltage or current it runs at, so I can't say what is the equivalent POT, but if it is like the above hall effect sensor, then a 5k POT could work.
I'm sure I'm making some mistakes; any people with electronic knowledge want to address them?