Arrow's impossibility theorem

URI: https://gptkb.org/entity/Arrow's_impossibility_theorem
GPTKB entity
Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Arrow's_paradox
gptkbp:consequence No perfect voting system exists for three or more options.
gptkbp:criteria gptkb:Pareto_efficiency
independence of irrelevant alternatives
non-dictatorship
transitivity
unrestricted domain
gptkbp:field social choice theory
gptkbp:formedBy gptkb:Kenneth_Arrow
https://www.w3.org/2000/01/rdf-schema#label Arrow's impossibility theorem
gptkbp:influenced gptkb:philosophy
political science
welfare economics
mechanism design
voting theory
gptkbp:publicationYear 1951
gptkbp:publishedIn gptkb:Social_Choice_and_Individual_Values
gptkbp:relatedTo gptkb:Condorcet_paradox
gptkb:Gibbard–Satterthwaite_theorem
gptkb:May's_theorem
gptkbp:state No rank-order voting system can convert the ranked preferences of individuals into a community-wide ranking while also meeting a specified set of criteria.
gptkbp:bfsParent gptkb:Kenneth_Arrow
gptkb:Sen's_impossibility_of_a_Paretian_liberal
gptkbp:bfsLayer 5