IntelligenceFebruary 15, 202645 min read

Metacognition in Agentic Companies: Why AI Systems Must Know What They Don't Know

Latent governance density, observable metacognitive coverage, and the stability bounds of self-governing enterprises

We formalize an agentic company as a graph-augmented constrained Markov decision process G_t = (A_t, E_t, S_t, Pi_t, R_t, D_t), distinguish latent governance density D_t from observable constrained-candidate coverage D_hat_t on router-generated Top-K actions, and define damping via kappa_t = kappa(D_hat_t). The exact local contraction condition is (1 - kappa_t) lambda_max(W_t) < 1, while the buffered operating envelope lambda_max(W_t) < 1 - kappa_t preserves adaptation headroom. Governance constraints thereby function as organizational metacognition: each constraint is a point where the system observes its own behavior. Planet-100 simulations validate that buffered role specialization emerges in the intermediate governance regime.

metacognitionagentic-companygovernance-densitystabilityself-awarenesseigenvalueMARIA-OSrole-specializationphase-diagram
MathematicsFebruary 15, 202648 min read

From Agent to Civilization: Multi-Scale Metacognition and the Governance Density Law

Exact contraction, buffered operating envelopes, and civilization-scale governance across organizational layers

This paper presents a mathematical theory of governance density as a stability parameter across organizational scales, from individual agents to enterprises and civilizations. We formalize agentic-company dynamics as G_t = (A_t, E_t, S_t, Pi_t, R_t, D_t), distinguish exact local contraction (1 - D_t) lambda_max(A_t) < 1 from the buffered operating envelope lambda_max(A_t) < 1 - D_t, and derive analytical phase boundaries between stagnation, buffered specialization, fragile specialization, and cascade. We extend the framework to civilization scale through D_eff = 1 - (1 - D_company)(1 - D_civ) and analyze a market revaluation model P_{t+1} = P_t + kappa(V_t - P_t) + zeta_t to show how periodic shocks interact with governance density. The result is a unified control view of phase transitions in self-organizing multi-agent systems.

governance-densityphase-diagramcivilizationmulti-scaleeigenvaluestability-lawmarket-dynamicsMARIA-OSconvergencecontraction-mapping
TheoryFebruary 15, 202642 min read

Institutional Design for Agentic Societies: Meta-Governance Theory and AI Constitutional Frameworks

From Enterprise Governance to AI Constitutions: How Institutional Economics and Meta-Governance Theory Stabilize Multi-Agent Societies

Multi-agent AI societies require more than individual metacognition: they also require institutional design. This article formalizes agentic-company governance, derives social objective functions for AI-human ecosystems, establishes the Speed Alignment Principle as a stability condition, and presents an AI-constitution model with revision rules. In simulations across 600 runs, adaptive institutional frameworks reduced spectral radius from 1.14 to 0.82 while maintaining audit scores above 0.85.

metacognitioninstitutional-designmeta-governanceAI-constitutionagentic-companyMARIA-OSgovernance-densityspeed-alignment
MathematicsFebruary 14, 202638 min read

Governing Emergent Role Specialization: Stability Laws for Agentic Companies Under Constraint Density

A mathematical framework for calibrating governance in self-organizing enterprises

We distinguish the exact contraction condition `(1 - D) · λ_max(A) < 1` from the conservative operating envelope `λ_max(A) < 1 - D`, giving enterprise architects a rigorous way to tune governance density in agentic organizations.

stability-lawspectral-radiusgovernance-densityMDProle-specializationeigenvaluephase-transitionagentic-companymulti-agent-systemsself-organization