Question

Find the Nash equilibrium of the following normal-form game:

S₁ = [0,1]
S₂ = [0,1]
u₁(s₁, s₂) = 3s₁ - 2s₁s₂ - 2s₁²
u₂(s₁, s₂) =

Answer 1

To find the Nash equilibrium of the given normal-form game, we need to determine the strategy that each player will choose that maximizes their payoff, given the strategies of the other players.

Step-by-step explanation:

To find the Nash equilibrium of the given normal-form game, we need to determine the strategy that each player will choose that maximizes their payoff, given the strategies of the other players. In this game, each player has two strategies: S1 = 0 and S1 = 1. Player 1's payoff function is u1(s1, s2) = 3s1 - 2s1s2 - 2s1^2, and player 2's payoff function is u2(s1, s2).