In the context of evolutionary game theory, how does the concept of Nash Equilibrium apply to non-cooperative games when considering the payoffs of different strategies?

Nash Equilibrium is a key idea in evolutionary game theory that helps us understand how individuals make decisions in non-cooperative games, where everyone acts in their own interest. In this context, a Nash Equilibrium occurs when each player's strategy is the best choice they can make, given the strategies chosen by everyone else. This means that no player can improve their payoff by changing their strategy alone, as they are already doing as well as possible considering what others are doing. For example, imagine two competing businesses deciding on prices; if both set their prices at a certain level, neither will benefit from changing their price unless the other changes theirs too. In this way, Nash Equilibrium helps explain how stable outcomes can emerge in competitive situations.