In a two-player game, Player 1 has two strategies: A and B, while Player 2 also has two strategies: C and D. If Player 1's dominant strategy is A, and Player 2's best response to A is C, what can we infer about the Nash Equilibrium in this game?

In this game, since Player 1 has a dominant strategy of A, it means that Player 1 will always choose A because it provides a better outcome regardless of what Player 2 does. Player 2's best response to Player 1 choosing A is strategy C, which means that when Player 1 plays A, Player 2 will choose C for the best result. This situation leads us to a Nash Equilibrium at the strategy pair (A, C), where neither player has an incentive to change their strategy. In other words, Player 1 is sticking with A because it is the best choice, and Player 2 is sticking with C because it is the best response to A. For example, if Player 1's payoff with A and Player 2's payoff with C are both maximized at this point, they will both stay with these strategies.