Linked from

The 16 pages that link to Arrow's impossibility theorem, each with the reason it gives.

• Pareto efficiencyRelated: It highlights the limits of aggregating individual preferences into a complete social ranking.

• Social welfare functionCompared with: It limits preference-based social rankings, while a welfare function may use richer information than ordinal rankings.

• Kenneth ArrowBroader topic: It is Arrow’s best-known demonstration that collective rankings face unavoidable trade-offs.

• Social choice theoryRelated: It establishes a fundamental limit on what preference aggregation can guarantee.

• Amartya SenCompared with: Sen extended the debate over whether fair collective rankings can meet demanding formal conditions.

• Preference relationRelated: It establishes limits on aggregating individual preference relations into a social ranking.

• Public choiceBroader topic: It sets limits on what political institutions can achieve when aggregating preferences.

• Kaldor–Hicks efficiencyRelated: It illustrates the difficulty of constructing collective rankings from individual preferences.

• Condorcet paradoxRelated: It generalizes the challenge of producing a satisfactory collective ranking from individual preferences.

• Borda countRelated: Borda avoids some failures only by not meeting every desirable condition.

• Median voter theoremCompared with: It highlights broader limits on aggregating preferences beyond the theorem's restricted setting.

• Voting paradoxRelated: It formalizes why plausible social-choice requirements can conflict.

• Gibbard–Satterthwaite theoremRelated: It is a closely related impossibility result about aggregating unrestricted preferences.

• Fundamental theorems of welfare economicsCompared with: It highlights limits on deriving social choices from individual preferences, a question the welfare theorems leave open.

• May's theoremCompared with: May's positive result depends on having only two alternatives.

• Liberal paradoxCompared with: Both are impossibility results, but Arrow’s conditions and the source of conflict differ.