Arrow's impossibility theorem

Result that no ranked-choice system is spoilerproof
Intangible theorem Q33481
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Arrow's impossibility theorem

Summary

Arrow's impossibility theorem is a theorem[1]. It ranks in the top 3% of theorem entities by monthly Wikipedia readership (603 views/month).[2]

Key Facts

  • Arrow's impossibility theorem is credited with the discovery of Kenneth Arrow[3].
  • Arrow's impossibility theorem's instance of is recorded as theorem[4].
  • Arrow's impossibility theorem's instance of is recorded as paradox[5].
  • Kenneth Arrow is named after Arrow's impossibility theorem[6].
  • Arrow's impossibility theorem's part of is recorded as list of theorems[7].
  • Arrow's impossibility theorem's Commons category is recorded as Arrow's impossibility theorem[8].
  • Arrow's impossibility theorem's BNCF Thesaurus ID is recorded as 58294[9].
  • Arrow's impossibility theorem's time of discovery or invention is recorded as +1950-00-00T00:00:00Z[10].
  • Arrow's impossibility theorem's Freebase ID is recorded as /m/0m9qw[11].
  • Arrow's impossibility theorem's proved by is recorded as Kenneth Arrow[12].
  • Arrow's impossibility theorem's Encyclopædia Britannica Online ID is recorded as topic/impossibility-theorem[13].
  • Arrow's impossibility theorem's uses is recorded as social welfare function[14].
  • Arrow's impossibility theorem's studied by is recorded as social choice theory[15].
  • Arrow's impossibility theorem's MathWorld ID is recorded as ArrowsParadox[16].
  • Arrow's impossibility theorem's Stanford Encyclopedia of Philosophy ID is recorded as arrows-theorem[17].
  • Arrow's impossibility theorem's Quora topic ID is recorded as Arrows-Theorem[18].
  • Arrow's impossibility theorem's STW Thesaurus for Economics ID is recorded as 10109-0[19].
  • Arrow's impossibility theorem's schematic is recorded as Diagram for part one of Arrow's Impossibility Theorem.svg[20].
  • Arrow's impossibility theorem's schematic is recorded as Diagram for part two of Arrow's Impossibility Theorem.svg[21].
  • Arrow's impossibility theorem's schematic is recorded as Diagram for part three of Arrow's Impossibility Theorem.svg[22].
  • Arrow's impossibility theorem's maintained by WikiProject is recorded as WikiProject Mathematics[23].
  • Arrow's impossibility theorem's Microsoft Academic ID is recorded as 142696051[24].
  • Arrow's impossibility theorem's Lex ID is recorded as Arrows_umulighedssætning[25].
  • Arrow's impossibility theorem's Namuwiki ID is recorded as 불가능성 정리[26].
  • Arrow's impossibility theorem's Encyclopedia of China is recorded as 190583[27].

Body

Works and Contributions

Arrow's impossibility theorem is credited with the discovery of Kenneth Arrow[3].

Why It Matters

Arrow's impossibility theorem ranks in the top 3% of theorem entities by monthly Wikipedia readership (603 views/month).[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[28] It is known by 11 alternative names across languages and contexts.[29]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Nuovo soggettario. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Freebase Data Dumps. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . Quora. wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Arrow's impossibility theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/arrow-s-impossibility-theorem
MLA “Arrow's impossibility theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/arrow-s-impossibility-theorem.
BibTeX @misc{4ortxyz_arrow-s-impossibility-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Arrow's impossibility theorem}}, year = {2026}, url = {https://4ort.xyz/entity/arrow-s-impossibility-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Arrow's impossibility theorem — https://4ort.xyz/entity/arrow-s-impossibility-theorem (retrieved 2026-05-03)

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