Support sufficiency as action-sufficient compression: a single-cycle rate-regret formulation

The paper introduces a framework for support sufficiency as action-sufficient compression, formalizing how decision-making systems must compress state information to retain only action-relevant distinctions. It defines a rate-regret formulation in a finite single-cycle setting, where optimal action channels are derived from support states with respect to consequence-sensitive regret. This work is significant for practitioners as it clarifies the limitations of traditional arbitration methods and emphasizes the importance of preserving actionable distinctions in decision-making systems, improving model robustness in uncertain environments.