In my [Impossibility] theorem I'm assuming that the information is a ranking. Each voter can say of any two candidates, I prefer this one to this one. So then we have essentially a ranking. It's a list saying this is my first choice. This is my second choice. Each voter, in principle, could be asked to give that entire piece of information. In the ordinary Plurality Voting, say as used in electing Congressmen, we generally only ask for the first choice. But, in principle, we could ask for more choices.
Kenneth ArrowYou will vote for first choice candidate whether or not you think he'll win. But I'm saying you may find yourself for a candidate, a middling candidate, a candidate you don't think very well of, really. And you really don't like to avoid a catastrophe. Well, maybe that's a good thing. You can argue that back and forth.
Kenneth ArrowClassic economic theories recognize public goods aspects of one kind or another - the need for economic intervention in, obviously, the supply of infrastructure and of education. We're not supplying that infrastructure at an appropriate rate today. I don't doubt it isn't just money; it's organization and goals and so forth.
Kenneth ArrowI think one of the things we learned from the physicists and also the theoretical biologists is the idea that when you're dealing with very complex systems you're going to get a large variety of behavior which can be interpreted as hill climbing, but hill climbing with a lot of modifications, hill climbing with big jumps occasionally.
Kenneth ArrowMy research, even before 1972, moved in directions beyond those cited for the Nobel Memorial Prize. Most of it, in one way or another, deals with information as an economic variable, both as to its production and as to its use.
Kenneth Arrow