Nucleolus of Cooperative Games

Explore the concept of the "nucleolus" in cooperative game theory through this lecture from the Hausdorff Center for Mathematics' workshop on Combinatorial Optimization. Delve into the historical roots of fair profit distribution, tracing its origins back to the Talmud. Examine computational methods for determining the nucleolus in weighted voting games and weighted matching games, gaining insights into equitable resource allocation in collaborative ventures. Learn how this mathematical concept applies to real-world scenarios of profit-sharing and decision-making in group settings.