Refer to the Ultimatum Game in Figure. Recall that the payoffs are monetary payoffs.

a. Suppose that players only care about monetary payoffs, with $1 = 1 util. find the sub game- perfect equilibrium.
b. Suppose that players are imperfectly altruistic. They receive 1 utile for each dollar they earn but ½util for each dollar the other player earns. Write down the extensive form reflecting the new payoffs. Find the sub game-perfect equilibrium.
c. Suppose that players are perfectly altruistic, receiving 1 utile for each dollar in the sum of their earnings. Write down the extensive form reflecting the new payoffs. Find the sub game- perfect equilibrium.
d. Suppose that players are perfectly selfless, getting 1 utile for each dollar the other player earns but no utility for their own earnings. Write down the extensive form reflecting the new payoffs. Find the sub game-perfect equilibrium. Does player 1 end up choosing the outcome that player 2prefers.

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Ultimatum Game Low Even 9, 1 0, 0 5, 5 0, 0