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Theorem

Liberal Paradox

Game Theory

The liberal paradox, also called Sen's paradox after the economist Amartya Sen who proposed it, is a result in social choice theory showing that no rule for aggregating individual preferences into a single social choice can simultaneously satisfy three seemingly mild conditions: that every possible set of individual preferences be allowed, that a unanimous preference by everyone for one outcome over another be respected, and that each individual retain at least one choice over which their own preference alone determines the social outcome. Sen's result showed that this minimal form of individual liberty can conflict with the Pareto principle.

Facts
Statement
no means of aggregating individual preferences into a single, social choice, can simultaneously fulfill the following, seemingly mild conditions 1
Classification
Statement Form
Impossibility Theorem 1
Connections

Has Statement Form

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Sources
1. Liberal paradox - Wikipedia
Introduction
Quote, Introduction
no means of aggregating individual preferences into a single, social choice, can simultaneously fulfill the following, seemingly mild conditions
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