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The Hierarchy of Dictators in Arrow's Impossibility Theorem

초록/요약

We re-examine the celebrated Arrow's Impossibility Theorem. We strengthen the theorem by slightly strengthening the weak Pareto Optimality. Strong Pareto Optimality combined with other Arrow's conditions, Collective Rationality, Unrestricted Domain and Independence of Irrelevant Alternatives implies not only the mere existence of dictator but also a hierarchy of dictators in the sense that whenever all the higher order dictators are indifferent between two alternatives, the next order dictator determines the social ranking of them.

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목차

Ⅰ. Introduction
Ⅱ. Notations and Main result

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