Arrow's impossibility theorem

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Arrow's impossibility theorem

Quality:

Arrow's impossibility theorem - Result that no ranked-choice system is spoilerproof. Article "Arrow's impossibility theorem" in English Wikipedia has 89.3 points for quality (as of July 1, 2025). The article contains 131 references and 16 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Arrow's impossibility theorem" was edited by 6 authors in English Wikipedia and written by 8 authors in all languages.

Since the creation of article "Arrow's impossibility theorem", its content was written by 324 registered users of English Wikipedia and edited by 946 registered Wikipedia users in all languages.

The article is cited 729 times in English Wikipedia and cited 2016 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #702 in July 2003
  • Global: #2570 in February 2003

The highest popularity rank from 2008:

  • Local (English): #14084 in June 2017
  • Global: #24446 in June 2017

There are 23 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Arrow's impossibility theorem
89.3129
2Arabic (ar)
نظرية الاستحالة لآرو
34.8154
3French (fr)
Théorème d'impossibilité d'Arrow
30.2623
4Romanian (ro)
Teorema imposibilității lui Arrow
24.9737
5German (de)
Arrow-Theorem
24.6371
6Turkish (tr)
Arrow'un imkânsızlık teoremi
22.3523
7Japanese (ja)
アローの不可能性定理
20.6497
8Korean (ko)
애로의 불가능성 정리
19.5764
9Polish (pl)
Twierdzenie Arrowa
17.9102
10Hebrew (he)
משפט ארו
17.3958
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Arrow's impossibility theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Arrow's impossibility theorem
3 204 066
2Spanish (es)
Paradoja de Arrow
443 993
3Japanese (ja)
アローの不可能性定理
366 871
4Italian (it)
Teorema dell'impossibilità di Arrow
361 695
5Russian (ru)
Теорема Эрроу
336 281
6French (fr)
Théorème d'impossibilité d'Arrow
321 292
7German (de)
Arrow-Theorem
288 942
8Chinese (zh)
阿罗悖论
198 048
9Portuguese (pt)
Teorema da impossibilidade de Arrow
99 189
10Korean (ko)
애로의 불가능성 정리
94 701
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Arrow's impossibility theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Arrow's impossibility theorem
13 074
2Russian (ru)
Теорема Эрроу
1 547
3Japanese (ja)
アローの不可能性定理
1 264
4Spanish (es)
Paradoja de Arrow
864
5French (fr)
Théorème d'impossibilité d'Arrow
850
6Italian (it)
Teorema dell'impossibilità di Arrow
832
7Chinese (zh)
阿罗悖论
621
8German (de)
Arrow-Theorem
465
9Simple English (simple)
Arrow's impossibility theorem
451
10Korean (ko)
애로의 불가능성 정리
374
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Arrow's impossibility theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Arrow's impossibility theorem
324
2French (fr)
Théorème d'impossibilité d'Arrow
97
3German (de)
Arrow-Theorem
94
4Italian (it)
Teorema dell'impossibilità di Arrow
65
5Spanish (es)
Paradoja de Arrow
48
6Russian (ru)
Теорема Эрроу
40
7Hebrew (he)
משפט ארו
38
8Japanese (ja)
アローの不可能性定理
36
9Chinese (zh)
阿罗悖论
35
10Turkish (tr)
Arrow'un imkânsızlık teoremi
22
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Arrow's impossibility theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Arrow's impossibility theorem
6
2German (de)
Arrow-Theorem
1
3Polish (pl)
Twierdzenie Arrowa
1
4Arabic (ar)
نظرية الاستحالة لآرو
0
5Catalan (ca)
Paradoxa d'Arrow
0
6Greek (el)
Θεώρημα Άροου
0
7Spanish (es)
Paradoja de Arrow
0
8Persian (fa)
قضیه عدم امکان ارو
0
9Finnish (fi)
Arrow’n paradoksi
0
10French (fr)
Théorème d'impossibilité d'Arrow
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Arrow's impossibility theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Arrow's impossibility theorem
729
2Chinese (zh)
阿罗悖论
167
3Persian (fa)
قضیه عدم امکان ارو
157
4French (fr)
Théorème d'impossibilité d'Arrow
148
5Japanese (ja)
アローの不可能性定理
139
6Ukrainian (uk)
Теорема Ерроу
121
7Russian (ru)
Теорема Эрроу
117
8Arabic (ar)
نظرية الاستحالة لآرو
78
9Italian (it)
Teorema dell'impossibilità di Arrow
70
10Portuguese (pt)
Teorema da impossibilidade de Arrow
55
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
نظرية الاستحالة لآرو
caCatalan
Paradoxa d'Arrow
deGerman
Arrow-Theorem
elGreek
Θεώρημα Άροου
enEnglish
Arrow's impossibility theorem
esSpanish
Paradoja de Arrow
faPersian
قضیه عدم امکان ارو
fiFinnish
Arrow’n paradoksi
frFrench
Théorème d'impossibilité d'Arrow
heHebrew
משפט ארו
itItalian
Teorema dell'impossibilità di Arrow
jaJapanese
アローの不可能性定理
koKorean
애로의 불가능성 정리
noNorwegian
Arrows teorem
plPolish
Twierdzenie Arrowa
ptPortuguese
Teorema da impossibilidade de Arrow
roRomanian
Teorema imposibilității lui Arrow
ruRussian
Теорема Эрроу
simpleSimple English
Arrow's impossibility theorem
svSwedish
Arrows omöjlighetsteorem
trTurkish
Arrow'un imkânsızlık teoremi
ukUkrainian
Теорема Ерроу
zhChinese
阿罗悖论

Popularity rank trends

Best Rank English:
#14084
06.2017
Global:
#24446
06.2017

AI rank trends

Best Rank English:
#702
07.2003
Global:
#2570
02.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Arrow's impossibility theorem from Wikipedia articles about Voting paradox (Condorcet), Kenneth Arrow, Amartya Sen, Social choice theory and Ranked voting. Whereas reading the article about Arrow's impossibility theorem people most often go to Wikipedia articles on Voting paradox (Condorcet), Kenneth Arrow, Spoiler effect, Pareto efficiency and Social choice theory.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information