1. Mr. Chan has two sons Albert and Bobby. Both Albert and Bobby can spend their time on
2. the weekend either helping their mother to do the housework or playing computer games. Both the two sons enjoy playing computer games but dislike doing housework. If one selects to do the housework, he will incur a disutility equivalent to a cost of $30. If one selects to play computer game, he will enjoy a benefit of $80. Mr. Chan also gives his sons pocket money each week. If both sons do the housework, each son will receive $120 pocket money. If both sons play computer game, each son will receive $40 pocket money. If one son does the housework and the other son plays computer game, the son who does the housework will receive $X pocket money and the son who plays computer game will receive $Y pocket money. Find a pair of possible values of X and Y so that (do housework, do housework) is theonlyNash Equilibrium. Show your resulting payoff matrix and show your proof that the Nash Equilibrium of such a game satisfies the requirement