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Consider the following two-player game.

Hi I need help with a game theory question regarding best responses.

Consider the following two-player game. Players one and two simultaneously and independently choose integers weakly between -30 and 30, x1 and x2 є {-30, -29, -28, . . ., 30}. Player one's payoff is 100 if she chooses the square of the other player's integer. Player two's payoff is 100 if he chooses the cube root of player one's integer. Otherwise each player's payoff is equal to 69 minus his or her choice.

I have the answers to the problem, I am just looking for for a more detailed explanation on the logic of how to calculate the best responses for player for different values of p2. Let me know if any additional information is needed

Top Answer

We can consider Player 1. If player 2 chooses any integer in {-5,-4,-3,-2,-1, 0,1,2,3,4,5}, then player 1's best response is... View the full answer

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