ARROW不可能性定理的推广

A GENERALIZATION OF ARROW'S IMPOSSIBILITY THEOREM

引进了弱无关备选对象的独立性条件,证明了不存在社会福利函数同时满足无限制定义域、弱帕累托性质、弱无关备选对象的独立性与非独裁性.例子表明弱无关备选对象的独立性是真正弱于无关备选对象的独立性条件的.因此,所得结果从形式上真正推广了ARROW的结果.

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.