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What do you do? You wonder if you really need them in the first place.
Accept that for any value of political power y, there will be some corruption x.

Solve for the minimum of x. Don't get fooled by local minimums.

What about y = 0?
Yeah. I had been thinking of that. There should probably be a third term Z that has some sort of inverse proportionality relationship to y that represents cartels/warlords/etc that fill the power vacuum of a very low y situation. This would also cause x to be very high. (eg: Somalia)
I don't think I would distinguish between z and y. In other words, a high z is the same as a high y, and of course either one causes a high x.
Or -y is what happens when you don't have any y and so its an absolute value of y modified by some vector function v as to which sections of public life y (or the absolute value thereof) extends into...

For some metaphor m that is extended beyond a limit l, it becomes increasingly r, ridiculous. :)

Well, let me put it this way: Warlords have political power.