2. There are two players, P1 and P2, who choose simultaneously one of the numbers 1, 2, or 3. If the players pick different numbers,
2. There are two players, P1 and P2, who choose simultaneously one of the numbers 1, 2, or 3. If the players pick different numbers, each player gets a payoff equal to her own number, but both get zero if they pick the same number. (a) Write the game in normal form and draw the corresponding game matrix. (b) Find all [pure and mixed) Nash equilibria of the game
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