TASK DEFINITION: Given a negotiation between two participants, answer 'Yes' if both participants agree to the deal, otherwise answer 'No'.
PROBLEM: THEM: i just want the balls YOU: one ball THEM: no deal YOU: no deal THEM: no deal YOU: ok how about you get both balls THEM: deal.

SOLUTION: Yes

PROBLEM: THEM: hey i like the hats and the balls, couldn't dream of parting with any YOU: how about i take the book, one hat and one ball? THEM: i want both balls and a hat YOU: no deal, you can have the two balls if you want. and i'll take the book and two hats THEM: no deal YOU: 2 balls and the book. and i'll take 2 hats THEM: i dont want this book YOU: then give me the book and 2 hats, and you can have the 2 balls THEM: i want both hats and a ball YOU: it's not worth, just let me have them and we can move on. one book and 2 hats, or one of each (you said you don't want the book)

SOLUTION: No

PROBLEM: THEM: i can cede the books and one hat - the ball and one hat for me YOU: i need the ball at minimum can give you the rest THEM: no,,, sorry, ball is everything for me YOU: ditto rest are worthless THEM: looks like a no deal YOU: no deal THEM: no deal YOU: : / THEM: alas, no deal YOU: no deal.

SOLUTION:
No