See Arrow's theorem on Wiktionary
{ "etymology_text": "Named after economist Kenneth Arrow, who demonstrated the theorem in his doctoral thesis and popularized it in his 1951 book Social Choice and Individual Values.", "head_templates": [ { "args": {}, "expansion": "Arrow's theorem", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Politics", "orig": "en:Politics", "parents": [ "Society", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A theorem stating that no voting system can be perfectly fair in all circumstances. Specifically, when voters have three or more distinct alternatives, no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide (complete and transitive) ranking while also meeting the specified set of criteria: unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives." ], "id": "en-Arrow's_theorem-en-name-e0h7M-i8", "links": [ [ "politics", "politics" ], [ "theorem", "theorem" ], [ "voting", "voting" ], [ "system", "system" ], [ "fair", "fair" ], [ "Pareto efficiency", "Pareto efficiency" ] ], "raw_glosses": [ "(politics) A theorem stating that no voting system can be perfectly fair in all circumstances. Specifically, when voters have three or more distinct alternatives, no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide (complete and transitive) ranking while also meeting the specified set of criteria: unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives." ], "related": [ { "word": "Arrow's paradox" } ], "topics": [ "government", "politics" ], "wikipedia": [ "en:Arrow's impossibility theorem" ] } ], "word": "Arrow's theorem" }
{ "etymology_text": "Named after economist Kenneth Arrow, who demonstrated the theorem in his doctoral thesis and popularized it in his 1951 book Social Choice and Individual Values.", "head_templates": [ { "args": {}, "expansion": "Arrow's theorem", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "related": [ { "word": "Arrow's paradox" } ], "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Politics" ], "glosses": [ "A theorem stating that no voting system can be perfectly fair in all circumstances. Specifically, when voters have three or more distinct alternatives, no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide (complete and transitive) ranking while also meeting the specified set of criteria: unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives." ], "links": [ [ "politics", "politics" ], [ "theorem", "theorem" ], [ "voting", "voting" ], [ "system", "system" ], [ "fair", "fair" ], [ "Pareto efficiency", "Pareto efficiency" ] ], "raw_glosses": [ "(politics) A theorem stating that no voting system can be perfectly fair in all circumstances. Specifically, when voters have three or more distinct alternatives, no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide (complete and transitive) ranking while also meeting the specified set of criteria: unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives." ], "topics": [ "government", "politics" ], "wikipedia": [ "en:Arrow's impossibility theorem" ] } ], "word": "Arrow's theorem" }
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