Describe the following situation as a repeated game with vector payoffs, where Player 1 is M. Goriot, and Player 2 represents his daughters.
At the start of every month, Anastasia and Delphine decide how to relate to their father, M. Goriot, that month: will they ignore his existence or pay him a visit now and again?
M. Goriot, for his part, decides whether to give his daughters a generous, or a stingy, monthly allowance. If M. Goriot decides to be generous, he gives Anastasia 10 francs at the end of the month, and Delphine 12 francs, if his daughters have not visited him that month; and he gives Anastasia 18 francs at the end of the month, and Delphine 16 francs, if they have visited him.
If M. Goriot decides to be stingy, he gives Anastasia 3 francs at the end of the month, and Delphine 2 francs, if his daughters have not visited him that month; and he gives Anastasia 5 francs at the end of the month, and Delphine 8 francs, if they have visited him.