3. Lisa and Jess must share 10 dollars. Lisa makes a proposal to share the money in integers, between 0 and 10. Jess can either accept or reject Lisa's proposal. If she accepts, then 10 dollars are shared according to the proposal, if she rejects both Lisa and Jess get zero.

Suppose m_L is the money assigned to Lisa and m_J is the money assigned to Jess in the proposed division.Assume that the utility of Lisa is m_L - (c.m_J)and the utility of Jess ism_J - (c.m_L) for

0 c < 1.

a)Draw the game tree.

b)Find the subgame perfect Nash equilibria for c = 0, for c = 0.25 and for c = 0.5.

c)How does the solution depend on c?