I'm new to game theory so I may have missed something but it appears to me that any member of P in state (1,1) or (4,2) is, by definition, irrational, and that this makes there behaviour inherantly unpredictable.

Furthermore (semantics, I know) but belief precludes knowledge so surely (3,4) can't exist!

## I'm new to game theory so I

I'm new to game theory so I may have missed something but it appears to me that any member of P in state (1,1) or (4,2) is, by definition, irrational, and that this makes there behaviour inherantly unpredictable.

Furthermore (semantics, I know) but belief precludes knowledge so surely (3,4) can't exist!