A friend suggests to you the following game. You each pick between the three types of bills $1 , $5 , ard $10 . If you and your friend choose the same bill, then you have to pay your friend the sura of the bills. (For example, if you both choose \$5, then you would have to pay your friend $10 .) If you and your friend choose different bills, then your friend pays you the sum of the bills. (a) Construct the payoff matrix for this game. (b) Find the minimax and maximin strategies. (c) Is the game strictly determined? If so, what is the saddle point? If not, how would you change your strategy asstuming your friend continued to use thn minimax strategy against you?

points] 1. A friend suggests to you the following game. You each pick between the three types of bills $1, $5, and $10. If you and your friend choose the same bill, then you have to pay your friend the sum of the bills. (For example, if you both choose $5, then you would have to pay your friend $10.) If you and your friend choose different bills, then your friend pays you the sum of the bills. (a) Construct the payoff matrix for this game. (b) Find the minimax and maximin strategies, (c) Is the game strictly determined? If so, what is the saddle point? If not, how would you change your strategy asstiming your friend continued to use the minimax strategy against you