In a non-cooperative game involving two players, Player A and Player B, each has two strategies: to cooperate or defect. If both players choose to cooperate, they receive a payoff of 3 each. If both defect, they receive a payoff of 1 each. If one cooperates and the other defects, the defector receives a payoff of 5 while the cooperator receives 0. What is the Nash Equilibrium in this scenario?

In this game, a Nash Equilibrium occurs when neither player can improve their payoff by changing their strategy while the other player's strategy remains the same. Here, if both players choose to cooperate, they each get 3, but if one defects while the other cooperates, the defector gets 5 and the cooperator gets nothing. If both players defect, they both receive 1; however, this is worse than cooperating together. Therefore, the Nash Equilibrium in this game is when both players choose to defect, as neither player can unilaterally change their strategy to get a better outcome. For example, if Player A defects while Player B cooperates, Player A gets 5, but if Player B decides to defect instead, Player A's best response is to defect as well, leading them both to the payoff of 1.