Acyclic Choice without the Pareto Principle
证明阿罗不可能定理的若干版本，将集体理性条件从传递性弱化为循环性，并用更弱条件替代帕累托原则，得到比现有文献假设更弱的结果，是迄今最强的不可能性定理之一。
In this paper we prove some versions of the Arrow Impossibility Theorem, with the collective rationality condition weakened from transitivity to acyclicity, and the Pareto condition replaced by weaker conditions. Thus this result has weaker assumptions than versions of the Arrow Theorem which have previously appeared in the literature. Consequently it is one of the strongest impossibility theorems. Our result is an extension of a recent theorem of Blair and Pollak.