Explore game theory concepts in this Yale University lecture, focusing on the formal elements of games and strategic decision-making. Delve into the importance of avoiding dominated strategies and considering others' perspectives. Apply these principles to historical scenarios and number-picking games. Examine the nuances of rationality, knowledge, and common knowledge in strategic interactions. Learn about iterative deletion of dominated strategies and distinguish between mutual and common knowledge. Gain insights into sophisticated game theory analysis applicable to various real-world situations.