Arrow's Impossibility Theorem is equivalently stated in terms of contradictory preference cycles, generalized from strict to weak preferences via explicit profile constructions.
Three Brief Proofs of Arrow’s Impossibility Theorem
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Arrow's Impossibility Theorem as a Generalisation of Condorcet's Paradox
Arrow's Impossibility Theorem is equivalently stated in terms of contradictory preference cycles, generalized from strict to weak preferences via explicit profile constructions.