8.12 A Game Between Friends 16 Two players independently select a number: 1, 2 or 3. If their numbers are the same, Player 1 pays Player 2 this amount. If they are not the same number, Player 2 pays Player 1 an amount that equals the number Player 1 chose. Determine the game value and the optimal strategies that both players must follow. (Note to determine Player l's optimal strategy, consider X, = 0.1538; X2 = 0.0769; X; = 0.0513 and contemplate Y, = 0.0641: Y2 = 0.1026; Y; = 0.1154) to determine Player 2's optimal strategy