An amount of money accumulates, so that in period t its size is $2t, where t ∈ {1, 2, t}.t is the last period of the game. in each period, two players must simultaneously decide whether or not to claim the money. if only one person does so, then she obtains the entire sum of money accumulated to that date, the other person gets zero and the game ends. if both persons claim, they split the accumulated sum equally. if neither person claims, the game proceeds to the next period, except in the final period when both persons get $t. each person cares only about the sum of money they get. formulate this situation as an extensive game and find its subgame perfect equilibria. (start by considering t