I am reading the book Game Theory: A Multileveled Approach Second Edition by Hans Peters. It appears to be the most recent copy. I've search here and on Google for a list of known errors in the book, but couldn't find any.
In section 184.108.40.206 Sequential Battle of the Sexes there is a decision tree in figure 1.1. The tree looks like this:
Setup (paraphrased from the book) The Story here is similar to the original Battle of the Sexes only this time we assume that man chooses first and the woman can observe the choice of the man.
I am new to game theory. I'm trying to make sure I understand this and I'm not missing something. Should the rightmost decision tree of player 2 be F(B) not F(F) (I hope I worded that right)? I started to think that maybe I didn't understand the difference between the two scenarios (the woman knows what the man chooses vs. she doesn't know). Thanks for any help.