Jianxin Yi
Abstract
The Weak Independence of Irrelevant Alternatives(WIIA) for social welfare functions is introduced.Then it's proved that there is no social welfare function satisfying WIIA,the weak Pareto property and Nondictatorship.It's also shown by example that WIIA is indeed weaker than Arrow's Independence of Irrelevant Alternatives.
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The Weak Independence of Irrelevant Alternatives(WIIA) for social welfare functions is introduced.Then it's proved that there is no social welfare function satisfying WIIA,the weak Pareto property and Nondictatorship.It's also shown by example that WIIA is indeed weaker than Arrow's Independence of Irrelevant Alternatives.
Key concepts: Arrow's impossibility theorem, Arrow, Independence of irrelevant alternatives, Impossibility, Mathematical economics, Social welfare function, Generalization, Independence (probability theory)