2. Marta has three sons: A (Alex), B (Bob), and C (Charlie). She discovers a broken lamp in her living room and knows that one of her sons must have broken it at play. In reality, Charlie was the culprit. Marta doesn't know the culprit but she cares more about finding out the truth than she does about punishing the child who broke the lamp, so Marta announces that her sons are to play the following game. Each child will write down his name on a piece of paper and write down either 'Yes, I broke the lamp' or 'No, I didn't break the lamp'. If at least one child claims to have broken the lamp, she will give 2 to each child who claims to have broken the lamp, and 5 to each child who claims not to have broken the lamp. If all three children claim not to have broken the lamp, none of them receives any money (receive 0). Formulate this as a normal form game