Consider the bargaining problem of splitting a pie of size 1 with utility u(x1) = x1 for player 1 and v(x2) = 2x2 − x22

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Consider the bargaining problem of splitting a pie of size 1
with
utility u(x1) = x1 for
player 1
and v(x2) = 2x2 − x22 for
player 2,
where x1 and x2 denote
the share of the pie for player 1 and 2 respectively.
1. Now consider the bargaining problem of the two players. Draw
(approximately) the utility possibility
frontier S.
2. What is the Nash bargaining solution if the disagreement
outcome is
any d1 and d2 in S?
Reference: Game Theory. No more information is given for this
question.