Question 2 (25 points) Consider the following modified version of "divide the dol- lar" game you had in Homework 1. . There is a dollar to be split between two players. . Player 1 makes an offer x (an offer by Player 1 specifies how much he would like Player 2 to have). . Without observing Player 1's offer, Player 2 specifies an amount y which denotes the minimum acceptable offer for Player 2. . Players' choices x and y have to be in increments of 25 cents, i.e., 0 cents, 25 cents, 50 cents, 75 cents, and 100 cents. . Whether the dollar is divided or not is decided by a Referee. . If the difference between Player 2's minimum acceptable offer y and Player 1's offer x is not more than 25 cents , then there is an agreement. Otherwise the Referee decides that there is no agreement. . If there is an agreement, Player 2 gets the amount x offered by Player 1, while Player 1 gets the rest 100 - x of the dollar. If there is no agreement neither player gets anything . Formally, the payoffs are u1 ( x, y ) = 0 100 - x ify - x _ 25 if y - x > 25 x ify - x 25 Some examples. . If x = 50 and y = 100 then both players get 0 since y - x = 50 > 25. . If x = 75 and y = 50 then Pl gets 25 and P2 gets 75 since y - x = -25