Arrow's impossibility theorem states that the majority rule fails to produce transitive preferences for society.

Arrow's Impossibility Theorem

A theorem that demonstrates the impossibility of devising a social welfare function that satisfies all of a specified set of reasonable conditions simultaneously.

Majority Rule

A decision-making rule in which policies or choices are decided based on the preference of the majority of participants.

Transitive Preferences

A condition in decision-making where if an individual prefers option A over B, and B over C, then the individual also prefers A over C.