Decompose pairwise multi-period insights across arbitrary numbers of providers and assess tightness

Determine whether the pairwise multi-period insights obtained for two providers admit a sharp additive or near-additive decomposition across interacting pairs for arbitrary numbers of providers under aggregate workload constraints, and ascertain whether the resulting bounds are tight.

Background

To make dynamics transparent, the paper first analyzes the minimal two‑provider case and derives bounded excess infeasibility over a hyper‑period. Extending beyond two providers raises questions about how such results might aggregate or decompose when multiple providers interact.

The authors explicitly state an open question about whether pairwise results can produce sharp additive or near‑additive bounds for many providers and whether such bounds can be proven tight.