Suppose that we have the following infinitely repeated Ultimatum game with two players, Ann and Bob. First, Ann makes an offerxAin the interval [0,1]. Then, Bob seesxand then chooses to Accept or Reject. If an offerxAis accepted, Ann receives 1xAand Bob receivesxA. If an offer is rejected, Bob then gets to make an offerxB. This process is repeated until an offer is accepted, with roles alternating each time. For each time that the game is alternated, Ann discounts at a rate ofAwhile Bob discounts at a rate ofB. So if B rejects once, makes an offer and it is accepted, A receivesA(1xB) and B receivesB(xB). If there are two rejections and A makes an offer that is accepted, A receivesA2(1xA) and B receivesB2(xA), etc.. (5 points extra credit)

(a) Find the subgame perfect equilibrium (5).