Game theory is a branch of mathematics and economics that deals with the analysis of strategic interactions among rational decision-makers. It provides a framework for understanding how individuals, firms, or governments make decisions when their choices depend on the choices of others.<br /><br />In game theory, the "players" are the decision-makers, and they make choices based on their preferences and beliefs about the other players' actions. Each player's payoff depends not only on their own actions but also on the actions of others. The outcomes are often represented in a payoff matrix or game tree.<br /><br />Key concepts in game theory include:<br /><br />Players: Individuals or entities making decisions.<br />Strategies: Courses of action available to players.<br />Payoffs: Outcomes associated with different combinations of strategies chosen by players.<br />Equilibrium: A stable state where no player has an incentive to unilaterally change their strategy.<br />Nash Equilibrium: A set of strategies where each player's strategy is optimal given the strategies chosen by the other players.<br />Cooperative and non-cooperative games: In cooperative games, players can form coalitions and make binding agreements, while in non-cooperative games, players act independently.<br />Game theory has applications in various fields such as economics, political science, biology, computer science, and more. It helps in analyzing situations like pricing strategies in oligopolistic markets, bargaining and negotiations, evolution of animal behavior, design of auctions and voting systems, and even military tactics.<br />...<br /><a href="https://www.youtube.com/watch?v=L7z30oLJxmw" target="_blank" rel="nofollow">https://www.youtube.com/watch?v=L7z30oLJxmw</a>