NEED help with answers

QUESTION 5 Two parents come home after a weekend in the summer house and discover that a bottle of expensive wine is missing. The parents naturally suspect that it is one of their three teenage kids Alice, Bob or Cassandra that have taken it. It was in fact Alice that took the wine, but the parents do not know this. The parents are inspired by a game theory problem they recently solved and tell their children to simultaneously either write \"Yes, I took the bottle\" or \"No, I did not take it\" on a piece of paper. They announce that if at least one of them claims that they took the bottle, those that admit will get the normal weekly allowance of 100 SEK during the coming month, whereas those that claim that they have not taken it will get 200 SEK. If none of them admits having taken the bottle, none of them get any allowance for the rest of the month. (A) (8 POINTS) Write down the game tables for this game assuming their payoffs are given by the monetary amounts above. Make Alice the row player, Bob the column player and let Cassandra choose which table to play. (B) (8 POINTS) Find all the pure strategy Nash equilibria of this game. (C) (8 POINTS) The game has several Nash equilibria. Is there any of these equilibria you consider to be a focal point? Explain! (D) (10 POINTS) The parents are primarily interested in guring out which child took the wine, not so much about punishing the child who took it. What are the pros and cons with the parents' solution above? Is there some other solution you would recommend