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This lecture delves into LP duality from an economics perspective, focusing on zero-sum games and the concept of LP duality in the context of economics. The instructor explains the relationship between players' moves, payouts, and strategies in games, illustrating how LP duality can be applied to economic scenarios. The lecture progresses to discuss the optimization of strategies for players in games, emphasizing the importance of understanding optimal strategies and the concept of complementary slackness. Through examples and theoretical explanations, the lecture provides insights into how LP duality can be utilized to analyze and optimize decision-making in economic contexts.