There are two players in a game, Dory and Rory. Each player writes down an integer between 1 and 3. If both players write down the same number, the game is a draw. If Dory's number is larger than Rory's, then Dory wins twice Rory's number. If Rory's number is larger than Dory's, then Rory wins half of her own number. Formulate the payoff matrix.