Arrow's Impossibility Theorem - Wikipedia - en.wikipedia.org  ## Metadata - Author: **en.wikipedia.org** - Full Title: Arrow's Impossibility Theorem - Wikipedia - Category: #articles - Tags: #game-theory - URL: https://en.wikipedia.org/wiki/Arrow%27s_impossibility_theorem ## Highlights - Arrow's impossibility theorem, the general possibility theorem or Arrow's paradox is an impossibility theorem in social choice theory that states that when voters have three or more distinct alternatives (options), 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. The theorem is often cited in discussions of voting theory as it is further interpreted by the Gibbard–Satterthwaite theorem.