Common Knowledge

A Play

Cast
The Swedish Professor · The Instructor · The First Student
The New Student · The Young Student · The Other Students
Two figures thinking about each other thinking

(The institute's lecture room with the window to the lake. The Swedish Professor is in the middle of his lecture next to a whiteboard. All others sit.)

The Swedish Professor

The point is, when it comes to trust, it is simply not sufficient to think about whether the trustor, the person — the player, who has to decide about whether or not to trust another, believes that the trustee will reward the trust — that the other will return the favour. That is trivial and any model that stops at this stage misses the social mechanics of trust.

The New Student

Can you explain this again — like for an eight-year-old?

The Swedish Professor

Ok, let me address your inner child.

(A beat.)

The Swedish Professor

Imagine I lend you my toy and I think you will give it back. That sounds like trust, doesn't it. But it's only half of it. The other half is that you know that I trust you. And once you know that you may feel ashamed keeping the toy. You want to live up to my trust — to my lending you the toy.

The Young Student

A toy example.

The Other Students

A toy.

The Swedish Professor

Yes, a toy example with a toy.

The Instructor

Why don't you explain to them how this relates to our core curriculum.

The Swedish Professor

For a good dictator it does not merely matter whether a specific individual believes in his goodness and will comply. It matters to him whether he believes that another believes that someone will comply.

The Young Student

You are now invoking a three-person game. Maybe you should have given us a different, um, toy example.

The Swedish Professor

I would have moved on to one. But you do get the idea?

The Young Student

I believe that he believes…

The Swedish Professor

Exactly.

The Young Student

But isn't it even more important for us whether someone believes that other others believe that everyone believes that —

The Swedish Professor
(interrupting, visibly excited)

Yes. Yes. You are running ahead of me. And you are right. The third order is more important than the second. And the fourth more important than the third. And so on.

(A beat.)

The Swedish Professor

And when you go all the way — when you go to infinity — you arrive at something we call common knowledge. Everyone knows. Everyone knows that everyone knows. Everyone knows that everyone knows that everyone knows. Without end.

(A beat.)

The Young Student

And I take it that is when a dictator is truly in command? Not when they believe. Not when they believe others believe. But when it is — how do you call it again?

The Swedish Professor

Common knowledge.

The Young Student

When it is common knowledge that everybody will comply. No more enforcement necessary. The system runs on itself.

The Swedish Professor

Well put, young man.

The Young Student

Beautiful phrase by the way. I will remember it.

(The New Student looks at the First Student.)

(The First Student looks at the Young Student.)