TASK DEFINITION: Given a negotiation between two participants, answer 'Yes' if both participants agree to the deal, otherwise answer 'No'.
PROBLEM: THEM: i would only like the book YOU: i can not give up the book. would you be willing to make another deal? THEM: well, how about that then YOU: would you be willing to give up the book at all?

SOLUTION: No

PROBLEM: THEM: i'd like three hats and the book. YOU: i can do three hats but i need reast THEM: hmm. that doesn't work for me. i'll take a basketball and two hats instead. YOU: deal.

SOLUTION: Yes

PROBLEM: THEM: what would you like YOU: everything THEM: you take all book and i keep the rest YOU: no. i want the books and hats THEM: no can do YOU: give three items and i'll call it even THEM: 2 books and one hat.

SOLUTION:
Yes