##  [Arrow's Impossibility Theorem](/index.php/arrows-impossibility-theorem) 

  ##  [Arrow's Impossibility Theorem](https://social.quantumdictionary.io/arrows-impossibility-theorem-0) 

  

 [![Social Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Social%20Sciences.png.webp?itok=FFG6NW1n)](/index.php/topic-specific-dictionaries/social-sciences)



**Social Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A formal social‑choice theorem stating that no deterministic rank‑order aggregation rule (voting system) converting individual complete preference orderings into a collective ranking can satisfy simultaneously a standard set of fairness axioms — unrestricted domain, paretian unanimity, independence of irrelevant alternatives, and non‑dictatorship — when there are at least three alternatives.

 

 

 

 

 





 

 



 ##  [Arrow's Impossibility Theorem](https://humanitites.quantumdictionary.io/arrows-impossibility-theorem-1) 

  

 [![Humanities & Arts Dictionary](/sites/default/files/styles/large/public/2026-01/Humanities%20%26%20Arts.png.webp?itok=4SMNHqFS)](/index.php/topic-specific-dictionaries/humanities-arts)



**Humanities & Arts Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A formal result stating that when there are at least three alternatives, no social welfare function that maps every profile of individual strict preference orderings to a complete and transitive collective ordering can simultaneously satisfy the axioms of unrestricted domain, Pareto (unanimity), independence of irrelevant alternatives, and non‑dictatorship.