Julie and Mark are on a newlyweds game show. They make it to the final round and get to play for the biggest prize. Both of them are given two cards, one that says Paris and one that says Australia. The host of the game show counts to three, at which point both of them has to show one of the cards. If they both choose the same card they get an all expenses paid vacation to the destination on the card. If the choose different cards they walk away with nothing. Julie prefers Paris and Mark prefers Australia. If they go to Paris Julie receives 100 utils and Mark receives 50 utils. If they go to Australia Julie gets 50 utils and Mark gets 100 utils.
a. Assuming complete information, represent the game in normal form where the payoffs are in utils.
b. What is the Nash equilibrium(s)?