Is there a word for "I think you think"

I often say, or hear people say in conversation "I think you think [a thing]"

This feels rather cumbersome to say, and whenever I hear it I always have to really consider what was just said. It seems like such a common idea that a single word should exist for it. Does anyone know of such a word?

This is multiple level thinking, which is a term common in the world of poker.

From https://www.google.co.uk/amp/s/assaadmouawad.wordpress.com/2011/10/24/multiple-level-psychology/amp/

Multiple level thinking is a term commonly associated with deepstack poker which refers to a players ability to analyse their opponents actions aswell as their own and think on a number of different levels in order to establish a range of poker hands your opponent could be holding and a range of reasons for their corresponding actions. The table image of you and your opponents plays a major part in how you approach the deeper levels of thinking, the poker becomes more about psychology than the mechanics of the game.

There are 5 levels to multiple level thinking:
Level 0 What do I have?
Level 1 What does my opponent have?
Level 2 What does my opponent think I have?
Level 3 What does my opponent think I think he has?
Level 4 What does my opponent think I think he thinks I have?

I can't think of a word that means "I think you think."

But you're talking about conversation here--spoken English where you can use intonation, facial expression, and so forth.

So in conversation, instead of a statement "I think you think money is good," you can say:

You think money is good?

You think we should get the car washed today?

Even further abbreviation is possible:

Think it's time to start dinner?

See this posting on a related issue of dropping words at the beginning of sentences. Why is the subject omitted in sentences like "Thought you'd never ask"?

You can replace either (or both) think with believe. (Of course, "I believe you believe ..." is no better.)

If you feel (another alternative to think) that "I think you think ..." is cumbersome because it's too long, I can't really help you. But, if you object primarily to the repetition, here's another long-winded variant: