Critical Decision Capacity: Bottleneck vs. Substitutable Degradation under Action Availability
Abstract
Action availability is a structural resource: systems whose useful behaviour depends on conjunctive bottlenecks can collapse abruptly under random loss of that resource, while substitutable structure degrades smoothly. Critical Decision Capacity (CDC) is not merely a name for a failure threshold : it is the CAC-linked critical capacity used as an intervention objective, with estimators , , and optional (coinciding only under stated assumptions). We prove a sufficient-condition dichotomy for path MDPs: sparse digraph bottlenecks admit a directed-bond percolation threshold (sharp-class mechanism), while submodular structure with bounded marginals is equi-Lipschitz (no discontinuous jump). Path-MDP hardening and Leduc blind transfer (frozen rankings under degree-biased / vs-random failure) show the design chain; poker targeted > random fragility remains Tier B, not a competitive-IIG theorem.
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