A stable state exists within a game theory model under specific conditions. This state is reached when each participant’s chosen strategy is optimal, given the strategies chosen by all other participants. No player can unilaterally improve their outcome by changing their own strategy, assuming all other players’ strategies remain constant. For example, consider two companies deciding whether to price their product high or low. A Nash equilibrium occurs if both companies choose a low price because neither company benefits from raising its price while the other company keeps its price low.
The concept provides a foundational understanding of strategic interactions in diverse fields, including economics, political science, and evolutionary biology. It offers a framework for predicting the likely outcomes of competitive situations, and aids in designing effective strategies. Historically, its development significantly advanced the understanding of non-cooperative games and has served as a cornerstone of modern economic theory, influencing policy decisions and business strategies worldwide.