Collective Responsibility Without a Global Allocator: Many Hands, Non-Additive Responsibility, and Corporate Answerability for Embedded Groups in a Consistency-Constrained Information History

Paper 25, Responsibility Without a Global Judge, weighted a typed responsibility basis into a per-agent verdict profile and forwarded the collective case: the non-additive allocation of responsibility over a group's role, authority, contribution, and provenance graphs — the problem of many hands. This paper pays that allocation debt without positing a global allocator: a subsystem that jointly possesses complete access to an institution's structure graphs, an authoritative apportionment rule, infallible counterfactual foresight over every member's options, a uniquely correct share-decomposition, and binding authority to assign it. Collective and institutional responsibility is reconstructed as a specification-relative, profile-valued, challenge-open allocation over a group's organizational structure. A declared allocation specification maps the organizational structure, the field of members' individual verdicts, the applied norm, and the group's corporate-agency status to a typed allocation profile: bearer-indexed allocations together with a case-indexed open-residue register. The absence of a global allocator is made load-bearing: it forces assessor-relativity, a warrant discipline separating attributed from warranted allocation, mandatory corrigibility, public declarability of the specification, and a standing-to-allocate condition distinct from the bare power to issue an allocation. Two results organize the account: a Non-Additivity result (R-A: for any admissible specification responsive at an organizational-interaction matched pair, warranted collective allocation is not a function of the members' individual-verdict multiset — neither the sum nor nothing) and a Many-Hands Residue result (R-B: with a threshold-gap premise grounded in distributed foreseeability, warranted collective answerability can obtain while no individual is over threshold, every residue carrying an explicit disposition — allocated, admissibly open, or genuine void). The culpability-void reading of the AI "responsibility gap" is recast as an admissibility failure. Corporate agency is a derived, non-mysterian standing; blame is non-conserved, so it resists the additive decomposition that conserved liability admits.