Cake Cutting

Cake-cutting, the mathematical problem of fairly dividing a heterogeneous resource, explores efficient allocation methods while considering diverse agent preferences. Current research focuses on extending classic models to online settings with non-contiguous pieces and adversarial agents, employing algorithms like EXP3 to balance fairness and revenue maximization. This field bridges mathematics, economics, and computer science, with implications for resource allocation in areas like machine learning, where fairness concerns are paramount, and its theoretical foundations are being refined through the lens of measure theory.