Explore the foundations of mean-field games in this comprehensive lecture from the "Advances in Applied Probability" program at ICTS Bangalore. Delve into static mean-field games, starting with motivations and context before examining abstract frameworks, Nash equilibria, and symmetric games. Learn about convergence questions, p-Wasserstein distance, and asymptotic approximations. Investigate mean-field equilibria, including uniqueness, potential games, and existence proofs. Gain insights into large-scale systems modeling and analysis through probabilistic methods, essential for understanding complex interconnected networks in technology, commerce, and beyond.