Explore mixed strategies in game theory through diverse contexts like baseball, dating, and tax compliance in this 74-minute Yale University lecture. Delve into three interpretations of mixed strategies: literal randomization, beliefs about opponents' actions, and population-level behavior patterns. Examine how these concepts apply to sports, anti-terrorism tactics, and economic policy. Analyze the implications of mixed equilibria, particularly in tax auditing scenarios, and discover how changing penalties affect strategic outcomes. Gain valuable insights into decision-making under uncertainty and the practical applications of game theory across various fields.