Game theory is a branch of mathematics that studies strategic decision-making in competitive and cooperative situations. It aims to understand how rational players choose strategies to maximize their own payoffs, taking into account the possible choices of other players. ## Nash Equilibrium A Nash equilibrium, named after John Nash, is a central concept in game theory. It is a stable state in a game where no player can improve their payoff by unilaterally changing their strategy, given that the other players maintain their strategies. In other words, a Nash equilibrium is reached when each player's chosen strategy is the best response to the strategies chosen by all other players. In summary, game theory provides a framework to analyze strategic interactions, while the Nash equilibrium is a key concept representing a stable outcome where no player has an incentive to deviate from their current strategy ## Video <iframe width="560" height="315" src="https://www.youtube.com/embed/emyi4z-O0ls" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen></iframe>