Consider the following bargaining game: first P1 (the seller) chooses an offer price from {.5, .75}, which P2 (the buyer) accepts or rejects. If P2 accepts, sale occurs at the suggested price. If P2 rejects, then P1 can make a 2nd offer, which must be chosen from {0.4, 0.8), which again P2 either accepts or rejects. The object is worth $0 to P1, $1 to P2, and players do not discount the future. (a) Find a NE in which sale occurs at price .5 in period 1. (b) Show that in any SPNE (there is in fact only one), sale occurs at price .75 in period 1.