# Value Functions **Domain:** economics, optimization theory, computational systems **Doc Type:** Concept Node **Classification:** Infrastructure Concept **Maturity:** mature mathematical concept, evolving application **Related:** [[Utility Functions]], [[Optimization Objectives]], [[Objective Functions]], [[Preference Specification]], [[Cost-Benefit Analysis]], [[Algorithmic Goals]] --- ## Definition **Value functions** refer to **mathematical representations of how much utility, benefit, or worth accrues from different outcomes or states**, enabling computational systems to compare alternatives, rank options, and optimize decisions toward preferred outcomes. Value functions translate qualitative preferences into quantitative metrics—how much health improvement is worth compared to economic growth, what level of privacy protection is worth relative to security capability. Value functions are fundamental to optimization—optimization is meaningless without clear specification of what is being optimized for. However, value functions embed value choices—different value functions produce radically different optimization outcomes. --- ## General Context Economics uses value functions (utility functions) to model how individuals compare alternatives; computer science and operations research use value functions to direct algorithmic optimization. Governance increasingly uses value functions to define policy priorities through metrics and goals. However, value functions are not objective—they encode political and ethical choices about what matters. Different value functions applied to identical information produce radically different decisions. --- ## Computational Governance Context Value functions guide algorithmic decisions by specifying what outcomes are preferred. They must be transparent and contestable to prevent algorithms from encoding hidden preferences. Different value functions produce radically different algorithmic behavior. --- ## Governance Context Governance systems use value functions (explicitly or implicitly) to guide resource allocation and policy choice. Making value functions explicit enables democratic contestation about priorities. --- ## Reparative Justice Context Reparative justice systems require value functions that prioritize remedy for systemic historical wrongs and reduction of systemic inequality, potentially overriding efficiency optimization. --- ## Key Insight Value functions are power—controlling value functions that guide algorithmic decisions or policy optimization is controlling what matters in governance. Transparency about value functions is essential condition for democratic governance; hidden value functions enable unaccountable technical rule. --- ## See Also [[Value Frameworks]], [[Optimization]], [[Algorithmic Systems]], [[Governance Frameworks]], [[Metrics]]