Safety & GovernanceFebruary 16, 202632 min read

Mission-Constrained Optimization in Agentic Companies

A Mathematical Framework for Value-Preserving Goal Execution

Local goal optimization often conflicts with organizational Mission. We formalize this conflict as a constrained optimization problem over a 7-dimensional Mission Value Vector, derive the alignment score and penalty-based objective, and present a three-stage decision gate architecture that prevents value erosion while preserving goal-seeking performance.

mission-alignmentconstrained-optimizationmvv-vectorvalue-gatesrecursive-self-improvementagentic-company
TheoryFebruary 16, 202635 min read

Survival Optimization and Mission Constraint Theory

Does Evolutionary Pressure Reduce Organizations to Pure Survival Machines? A Mathematical Analysis of Directed vs. Undirected Evolution

When organizations are modeled as evolutionary subjects, does the theoretical limit reduce to survival-probability maximization? This paper examines two regimes — unconstrained local optimization (λ→0) where ethics and culture are mere byproducts, and Mission-constrained optimization where evolution gains direction. We derive the survival-alignment tradeoff curve S = S₀·exp(−αD), prove Lyapunov stability of Mission erosion dynamics under dual-variable feedback control, present 7-dimensional phase diagrams for operational monitoring, and demonstrate a civilization-type phase transition where accumulated institutional improvements qualitatively change the system's risk profile.

survival-optimizationmission-alignmentlyapunov-stabilityphase-transitionconstrained-optimizationevolutionary-dynamicsagentic-companydual-update-control