Gale-Shapley Algorithm: Stable Matchings for Beginners

Finding the perfect match between two groups with conflicting preferences is a classic challenge in computer science and economics. This text-based course guides you through the foundational concepts of matching theory and the mechanics of the Gale-Shapley algorithm, ensuring you can analyze and implement stable solutions. What you'll learn: Understand the core concepts of preference rankings and stable matchings; Trace the step-by-step execution of the Gale-Shapley algorithm with clear, written walkthroughs; Analyze the mathematical properties of the algorithm, including termination and optimality; Explore real-world applications of stable matching, from medical residency placements to modern marketplace design; Implement the algorithm using clean, modern Python code structures. You will start with essential terminology and the famous stable marriage problem before moving on to step-by-step dry runs and practical code examples. This course is designed for beginners in algorithms, mathematics, or computer science, with no prior advanced algorithmic knowledge required. Start reading today to master the fundamentals of stable matching algorithms.