One way of looking at Impossibility Theorem is that we proposed some criteria for what a good system should be: what is it you want from a voting system, and impose some conditions. And then ask: can you have a voting system that guarantees that?
Kenneth ArrowI think that systems that are based on employment are illogical and attempts to meet them create all sorts of unnecessary complexities.
Kenneth ArrowIn The United States, the only real change I know has been Instant Runoff, which is usually applied to municipal elections. I see no real improvement. There's another aspect which comes out of the two-party system, which the primary, a funny kind of two-stage election. And people certainly have complained.
Kenneth ArrowThe Germans, for example, have some kind of compromise between single-member and broader districts. In Israel, you have nothing, you have only a national election. You have no local districts at all. And that's because of the idea that in addition to other ideological differences, locality matters. The question is does the congressman represent his district and the interests of his district? And as I said there's quite a variety of systems the democratic world. The implications need to be examined.
Kenneth Arrow