Question

My professor told me this approach is incorrect. He said that I should be thinking about it in the sense that in a Nash equilibrium, those who are hunting would not want to deviate to vegetable-gathering, and vice versa. I am not sure how to solve this problem on this basis. Could you please help me? Thank you!

Answer 1

A nash equilibrium is an optimal outcome where no unilateral profitable deviation from any of the players involved. It happens because an individual can't receive any incremental benefits from changing action, where other players remain fixed to their strategies.

You should calculate the nash equilibrium by considering each player's best response in respone to their opponents' strategy. In nash equilibrium, You can't just deviate the equilibrium strategy to another one just because it gives the player higher payoff.