Question 4 (25 points). Consider the following sequential-move game. (a) Find the subgame perfect equilibrium. (b) Which conditional strategic move can player 2 employ to alter the game’s outcome in a way that leaves his payoff higher than it would be in the SPE of the original game? (c) Is this strategic move a threat or a promise?

Bill is 31 years old, married, and lived with his spouse michelle from january 2018 to september 2018. bill paid all the cost of keeping up his home. he indicated that he is not legally separated and he and michelle agreed they will not a file a joint return. bill has an 8-year-old son, daniel, who qualifies as bill's dependent. bill worked as a clerk and his wages are $20,000 for 2018. his income tax before credits is $500. in 2018, he took a computer class at the local university to improve his job skills. bill has a receipt showing he paid $1,200 for tuition. he paid for all his educational expenses and did not receive any assistance or reimbursement. bill does not have enough deductions to itemize. bill, michelle, and daniel are u.s. citizens with valid social security numbers. 8. bill does not qualify to claim which of the following: a. head of household b. education benefit c. earned income credit d. all of the above