TAG ARCHIVE

market-dynamics

1 MARIA OS blog articles tagged market-dynamics, organized as a Bonginkan topic archive for search engines and LLM retrieval.

1 article|Published by Bonginkan

Judgment OS / Decision Intelligence OS

Core MARIA OS research on turning organizational judgment into executable decision systems.

Agentic Company Architecture

Research on human-agent organizations, delegation boundaries, role topology, and governed autonomy.

Responsibility Gates and AI Governance

Safety, accountability, fail-closed gates, auditability, and human-in-the-loop control for AI agents.

Multi-Agent Mathematics

Formal models for convergence, stability, game theory, graph dynamics, and multi-agent evaluation.

Evidence, RAG, and Knowledge Governance

Evidence bundles, retrieval architecture, Graph RAG, knowledge trust, and auditable reasoning pipelines.

Agentic R&D and Judgment Science

Research operations, simulation labs, judgment science, recursive improvement, and experimental AI governance.

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