# Objective Function **Domain:** mathematics **Doc Type:** Concept Node **Classification:** Infrastructure Concept **Maturity:** Foundational **Related:** [[Game Theory]], [[Nash Equilibrium]], [[Optimization Systems]], [[Optimization Capacity]], [[Mathematical Foundations]] --- ## Definition **Mathematical expression of what a system optimizes for**, representing the quantity to be maximized or minimized. Objective functions translate goals into optimization targets that algorithms and institutions pursue. --- ## General Context Linear programming uses linear objective functions; machine learning trains models to minimize loss functions. Organizations pursue implicit objective functions (profit, power, institutional survival) regardless of formal goals. --- ## Key Insight Specifying objective functions requires translating qualitative values into quantitative metrics, which always involves value judgments and loss of nuance. Optimization relative to wrong objective functions achieves wrong goals efficiently. --- ## See Also [[The Algorithmic State]], [[Computational Governance]], [[Model-Based Governance]], [[Nonlinear Dynamics]], [[Measurement Capacity]]