Seyedehkimia Alaviyar

Cap-and-Penalize: Competitive Mechanisms for Multi-Phase Regularized Online Allocation

This paper introduces a novel mechanism for online allocation with multi-phase, non-separable regularizers, termed Cap-and-Penalize (CnP), inspired by real-world applications such as cap-and-tax policies in carbon pricing. The CnP regularizer models a multi-phase cost structure, imposing a monotone