Though, of course, I'm arguing against economic theory here. The second part of what you say is often cited as an example of the sense of "fairness".

When locusts move on, they leave nothing behind

It is indeed about information. In the first example, the guy who knows about the pizza deal could essentially say that that it his knowledge of the deal that deserves the extra slice vis a vis the guy without the knowledge.

You could extend the example and say that the guy stands outside the pizza place asking people going in if they want a third pizza very very cheap?

They give him the money, he tells them about the offer.

THAT'S the knowledge economy...

Question.

Is the guy "productive" or is the knowledge "productive" ?

 

It seems the second student must know about the rules... After all, if the first one were under no obligations to share at all, there would be little reason not to accept the free dollar, handed to the second, just like that... There is a question of the exact rules of the game. One could imagine several possible ones, assuming both participants know all the rules:

1. Student 1 makes a one off offer to student 2, which student 2 must accept or reject, with the consequences provided by the game
2. Student 1 makes and offer, and may make additional offers if the first one is rejected, i.e. we have some situation involving negotiation...

Ideas of 'fairness', 'personal gain' and 'utility' should play out under both scenarios, with the second one probably resulting in more deals and a fairer distribution. This is the situation in isolation. If we start considering 'external' factors, outcomes may shift, however. As in, suppose student 2 is really poor, and can normally only afford to eat every other day. In this case, we might expect he would more readily accept even 1 dollar because he would use it to feed himself. Thus, it is a question not just of asymmetric information, the two students may very well both have access to all available data, but also a question of relative (economic) power, and what the two participants know about each other in this area. That's when it starts to get 'interesting'... When the first student know the second cannot afford to reject 1 dollar.

Related to a recent comment on asymmetric power in games:

Jerome a Paris:

A game of bluff and bluster for extravagant reward
Your chances in this world are proportional to the size of your bankroll: the house wins by virtue of being the house.

Going to do some armchair evolutionary psych here. The theory (which gets support from this experiment) is that as a social species (ie, we work together to solve problems) we have built in mechanisms to punish cheaters, and we will often engage in punishment even when that punishment comes at a personal cost to us. That's what happens in this case - when the person is offered only one dollar, they rarely take it in order to deny (punish) the "offender" for being too greedy, despite the monetary cost to themselves.

Again this is why I wish leftists would take the field more seriously - holding on to the blank slate means that the conservatives get to misinterpret the data in their own image. In this case I think it helps demonstrate that the level effort required to indoctrinate people into believing that CEO's deserve $100 million a year is even higher than believed.

you are the media you consume.