Composition of probabilistic constraints in recursively generated delegation episodes

Determine how the probabilistic constraint used in Safe Bilevel Delegation composes across a recursively generated episode.

Background

The paper contrasts Progressive Risk Vesting with existing mechanisms for transferring permissions and resources through delegation chains. It identifies Safe Bilevel Delegation as a method that transfers authority subject to a probabilistic constraint, but notes that the behavior of this constraint under recursive, dynamically generated delegation remains unresolved. The open problem concerns whether and how local probabilistic guarantees can be composed over an entire recursively generated episode, where multiple descendants may receive authority and contribute to aggregate risk.

References

Safe Bilevel Delegation transfers authority under a probabilistic constraint, leaving open how that constraint composes across a recursively generated episode .

— Spawn Freely, Act Sparingly: Progressive Risk Vesting for Recursive LLM-Agent Trees  (2609.01035 - Wang, 1 Sep 2026) in Related Work, paragraph “Delegation and compositional risk”