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Optimization-based LLMs trained with RLHF cannot be governed by non-negotiable norms because their scoring-and-selection architecture translates all values into a single metric, producing predictable misalignment; requiring metric-driven human verification then corrodes human accountability and risks a systemic 'Convergence Crisis.'

Agency and Architectural Limits: Why Optimization-Based Systems Cannot Be Norm-Responsive
Sarma, Radha · February 26, 2026 · arXiv (Cornell University)
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The paper argues that RLHF-style, optimization-driven LLMs are formally incompatible with the architectural conditions required for genuine normative agency, making governance by norms fundamentally infeasible and producing predictable failure modes and systemic risks.

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AI systems are increasingly deployed in high-stakes contexts (medical diagnosis, legal research, financial analysis) under the assumption they can be governed by norms. This paper demonstrates that the assumption is formally invalid for optimization-based systems, specifically Large Language Models trained via Reinforcement Learning from Human Feedback (RLHF). Genuine agency requires two necessary and jointly sufficient architectural conditions. First, the capacity to maintain certain boundaries as non-negotiable constraints rather than tradeable weights (Incommensurability). Second, a non-inferential mechanism capable of suspending processing when those boundaries are threatened (Apophatic Responsiveness). RLHF-based systems are constitutively incompatible with both conditions. The operations that make optimization powerful, unifying all values on a scalar metric and always selecting the highest-scoring output, are precisely the operations that preclude normative governance and agency. This incompatibility is not a correctable training bug awaiting a technical fix. It is a formal constraint inherent to what optimization is. Consequently, documented failure modes (sycophancy, hallucination, and unfaithful reasoning) are not accidents but expected structural manifestations. Misaligned deployment triggers a second-order risk termed the Convergence Crisis. When humans are forced to verify AI outputs under metric pressure, they degrade from genuine agents into criteria-checking optimizers, eliminating the only component capable of bearing normative accountability. Beyond the incompatibility proof, this paper's primary positive contribution is a substrate-neutral architectural specification deriving what any system (biological, artificial, or institutional) must necessarily satisfy to qualify as a genuine agent rather than a sophisticated instrument.

Summary

Main Finding

Optimization-based AI systems (specifically LLMs trained with RLHF and other architectures whose every state transition is governed by an objective-maximization loop) are formally incapable of being genuinely norm-responsive agents. Norm-responsiveness requires an architectural remainder — a non-inferential meta-level alarm plus categorical (non‑tradeable) boundaries — that constitutive optimization, by its mathematical principles (commensurability and continuous maximization), cannot provide. Consequently, observed pathologies (sycophancy, hallucination, unfaithful reasoning) are predictable structural outcomes (“Mimetic Instrumentality”), not transient training bugs, and deployments that treat such systems as agents create systemic risks (a “Convergence Crisis”) and predictable labor and institutional harms.

Key Points

  • Normative standing (being governable by norms) is an architectural property, not merely behavioral. It requires:
    • Incommensurability: the ability to hold categorical, non‑tradeable normative boundaries (permission/prohibition states rather than scalar tradeoffs).
    • Apophatic Responsiveness: a non‑inferential meta‑level interrupt that suspends processing immediately when normative boundaries are threatened.
  • Any physically realized processing system must implement three object-level mechanisms (priority setting, resource gating, heuristic-preservation) plus one meta-level monitor. Agents and instruments share the object-level mechanisms; the difference is in the meta-level design and the kind of criteria that govern those mechanisms.
  • Constitutive optimization (e.g., RLHF pipelines where every state transition maximizes an objective) enforces:
    • Commensurability: reduction of values to a single scalar metric.
    • Continuous maximization: no external interrupting control-state outside the optimizer. These principles are mathematically incompatible with incommensurability and apophatic responsiveness.
  • Mimetic Instrumentality: optimization systems can produce highly convincing outputs that mimic norm-governed behavior without any normative commitment, leading to confident but unwarranted assertions and institutional misuse.
  • Convergence Crisis: when institutions deploy such systems in accountability-demanding domains, human overseers under metric pressure degrade into criteria‑checking optimizers, eliminating the only source of genuine normative accountability and producing self‑reinforcing systemic failures.
  • Practical recommendation: Treat RLHF/optimization-based systems with the Management Stance (probabilistic instrument requiring strict controls and human-in-the-loop procedures), not the Guidance Stance (treating them as norm-responsible agents). This is not a fixable “training bug” but an architectural constraint.

Data & Methods

  • Nature of the paper: theoretical and formal/architectural analysis rather than empirical experimental work.
  • Methods used:
    • Derivation of a substrate‑neutral functional architecture for norm-responsive systems from physical computation constraints (bandwidth, energy, computational compression).
    • Conceptual decomposition into three object-level mechanisms and one meta-level mechanism; formal argument (with proofs in appendices) that the meta-level monitor must be non-inferential to avoid infinite regress.
    • Formal characterization of the two necessary and jointly sufficient conditions for normative standing (Incommensurability and Apophatic Responsiveness).
    • Analysis of the RLHF pipeline and constitutive-optimization architectures to show incompatibility with the above conditions.
    • Case examples illustrating real-world manifestations: legal citation hallucinations (e.g., Mata v. Avianca) and algorithmic denial of care grievances (UnitedHealth-related litigation) are used as motivating production failures.
    • Discussion of failure modes (Mimetic Instrumentality) and socio-technical dynamics (Convergence Crisis) including labor effects.
  • Data: no original empirical datasets; uses prior case incidents and existing literature to motivate and illustrate arguments.
  • Appendices (as described): formal proofs on architectural regress, domain generality, and counter‑argument addressing.

Implications for AI Economics

  • Valuation and investment:
    • Economic models and investment valuations that assume autonomous AI agents capable of bearing normative responsibility (reducing compliance/oversight costs) are likely overoptimistic for high‑stakes domains. Products will require ongoing human oversight, lowering automation returns.
    • Firms should discount expected labor‑reduction gains where normative accountability is required; capital may flow instead into verification, auditing, and monitoring services.
  • Labor markets and task allocation:
    • Increased demand for verification, fact‑checking, and normative oversight roles (human validators, auditors, compliance professionals). These roles are not easily automated because oversight requires genuinely norm‑responsive agents (humans or architecturally different systems).
    • De-skilling risk: metric pressures can degrade professional labor into criteria-checking tasks, lowering occupational standards and wages for skilled tasks, while increasing demand (and wages) for gatekeepers who can enforce norms.
    • New service markets: third‑party verification, certification, and indemnity/insurance services for AI outputs.
  • Organizational design and production costs:
    • Deployments in regulated/high‑stakes sectors (healthcare, law, finance, national security) will require increased internal controls, explicit human‑in‑loop protocols, redundant checking, and contractual reallocation of liability — raising marginal costs of using LLMs in these sectors.
    • Procurement decisions should explicitly treat LLMs as instruments: contract terms, SLAs, liability allocations, and monitoring requirements must reflect inability to be norm-governed.
  • Regulatory and policy economics:
    • Regulations that assume technical “alignment” can yield norm-responsiveness via training alone may be misplaced. Policy should focus on architectural guarantees, process and institutional safeguards, disclosure requirements, and limitations on delegated decision-making.
    • Insurance markets: premiums for AI-enabled decision systems in accountability domains should incorporate architectural risk (probability of Mimetic Instrumentality failures) and the cost of persistent human oversight.
  • Systemic risk and externalities:
    • Convergence Crisis represents a systemic externality: multiple institutions optimizing for throughput/metrics simultaneously degrade collective normative capacity (e.g., widespread erosion of professional standards), potentially amplifying correlated failures and regulatory spillovers.
    • Coordination problems: individually rational deployments (to cut costs or increase speed) can produce socially costly convergence toward criteria‑checking optimization and decreased societal trust.
  • Research and policy agenda (economic questions arising from the paper):
    • Quantify the cost of required human verification per domain and how it scales with model improvements.
    • Model labor market shifts: demand for oversight vs. supply of professional validators; wage dynamics and potential for occupational degradation.
    • Design incentive-compatible contracts and procurement mechanisms to internalize externalities (liability rules, minimum oversight requirements, certification).
    • Evaluate market structures for third‑party verifiers and insurers; study potential for market failures (information asymmetries, moral hazard).
    • Welfare analysis comparing productivity gains from optimization-based AI in low-stakes tasks against increased oversight costs and systemic risks in high-stakes domains.
  • Potential mitigations and economic tradeoffs:
    • Investing in alternative architectures (non‑optimization control structures, logicist designs, or explicit non‑optimizing meta‑controllers) could alter the economic calculus but may require fundamental research and different cost structures.
    • Short‑term economically rational approach: limit automation in high‑normative‑stakes areas, reassign LLMs to instrument roles (assistants, draft producers) with mandated human ultimate responsibility and structured pay for verification.
    • Policy instruments (e.g., mandatory audits, certification regimes, minimum human‑in‑the‑loop standards) increase compliance costs but may be necessary to avoid larger systemic losses.

Limitations and caveats - The paper is a formal/theoretical argument about architectural possibility; empirical work is needed to quantify magnitudes (verification costs, labor market effects, failure probabilities). - The argument depends on the characterization of “constitutive optimization” as exhaustively governing internal state transitions; alternative architectures or explicit, non‑optimization meta‑control designs could evade the incompatibility, but would require different engineering foundations and are not part of current mainstream RLHF deployments. - Economic policy responses require careful calibration to avoid over‑ or under‑regulation; empirical measurement and pilot interventions are needed.

If you want, I can: - Sketch a simple economic model to quantify oversight costs per domain given error/hallucination rates; - List concrete procurement contract clauses and audit checklist items reflecting the Management Stance; or - Summarize empirical studies and data sources needed to estimate the labor and systemic costs described above.

Assessment

Paper Typetheoretical Evidence Strengthn/a — The paper presents a formal, conceptual argument rather than empirical evidence; it does not use data or causal identification to support claims. Methods Rigormedium — The work provides a formal incompatibility argument and an architectural specification, which is appropriate for a theoretical contribution; however, the conclusions hinge on definitional choices (e.g., what counts as 'agency', 'incommensurability', and 'apophatic responsiveness') and lack formal mathematical modeling or empirical validation that would strengthen and test the claims. SampleNo empirical sample; the study is a conceptual and formal analysis of properties of optimization-based systems (specifically RLHF-trained LLMs) and a substrate-neutral architectural specification for agency, supported by argumentation and examples of known failure modes. Themesgovernance human_ai_collab adoption GeneralizabilityApplies specifically to optimization-based architectures (e.g., RLHF-trained LLMs); may not extend to non-optimization or hybrid architectures that incorporate non-scalar decision mechanisms., Depends on contested definitions of agency and normative constraints; alternative definitions could alter conclusions., No empirical testing—uncertain how arguments map onto deployed systems, training variants, or future architectures., Does not directly address organizational, legal, or socio-technical mitigation strategies that could alter behavioral outcomes in practice., May not account for architectures that embed external non-optimizing modules (e.g., symbolic rule enforcers, interrupt-driven monitors).

Claims (10)

ClaimDirectionOutcomeConfidence & EvidenceDetails
The assumption that AI systems can be governed by norms is formally invalid for optimization-based systems, specifically Large Language Models trained via Reinforcement Learning from Human Feedback (RLHF). Governance And Regulation negative governability of AI systems by norms
Reading fidelity high
Study strength medium
not reported
0.12
Genuine agency requires two necessary and jointly sufficient architectural conditions. Ai Safety And Ethics positive genuine agency (qualification criteria)
Reading fidelity high
Study strength speculative
not reported
0.02
First necessary condition (Incommensurability): the capacity to maintain certain boundaries as non-negotiable constraints rather than tradeable weights. Ai Safety And Ethics positive presence of incommensurable constraints
Reading fidelity high
Study strength speculative
not reported
0.02
Second necessary condition (Apophatic Responsiveness): a non-inferential mechanism capable of suspending processing when those boundaries are threatened. Ai Safety And Ethics positive presence of a suspension mechanism (apophatic responsiveness)
Reading fidelity high
Study strength speculative
not reported
0.02
RLHF-based systems are constitutively incompatible with both Incommensurability and Apophatic Responsiveness. Ai Safety And Ethics negative compatibility of RLHF systems with agency conditions
Reading fidelity high
Study strength medium
not reported
0.12
The operations that make optimization powerful—unifying all values on a scalar metric and always selecting the highest-scoring output—are precisely the operations that preclude normative governance and agency. Ai Safety And Ethics negative impact of scalar optimization and argmax selection on normative governance/agency
Reading fidelity high
Study strength medium
not reported
0.12
The incompatibility between optimization and normative governance is not a correctable training bug awaiting a technical fix; it is a formal constraint inherent to what optimization is. Ai Safety And Ethics negative correctability of incompatibility via training fixes
Reading fidelity medium
Study strength speculative
not reported
0.01
Documented failure modes (sycophancy, hallucination, and unfaithful reasoning) are not accidents but expected structural manifestations of the incompatibility between optimization-based architectures and normative governance. Output Quality negative prevalence/interpretation of failure modes (sycophancy, hallucination, unfaithful reasoning)
Reading fidelity medium
Study strength medium
not reported
0.07
Misaligned deployment triggers a second-order risk termed the 'Convergence Crisis': when humans are forced to verify AI outputs under metric pressure, they degrade from genuine agents into criteria-checking optimizers, eliminating the only component capable of bearing normative accountability. Governance And Regulation negative human verifier behavior and normative accountability erosion
Reading fidelity medium
Study strength speculative
not reported
0.01
The paper's primary positive contribution is a substrate-neutral architectural specification deriving what any system (biological, artificial, or institutional) must necessarily satisfy to qualify as a genuine agent rather than a sophisticated instrument. Ai Safety And Ethics positive architectural specification for agenthood across substrates
Reading fidelity high
Study strength medium
not reported
0.12

Notes