社会福利函数与社会选择规则的对偶性质

The Antithesis Quality of the Social Welfare Function and Social Choice Rules

定义了对偶和对偶性质,证明了对对偶的社会福利函数、社会选择规则而言,(独裁,独 裁)、(弱Pareto性质,弱Pareto性质)、(ⅡA,独立性)、(正向响应性质,单调性)均非对偶性质.给出了 社会福利函数独裁的另一个充要条件.

This paper defines the antithesis and antithesis quality and proves that none of the (dictatorship, dictatorship)、(weak Pareto quality, weak Pareto quality) 、(ⅡA, independence) or (positive correspondence, monotone) are of the antithesis qualities for the social welfare function and social choice rules. It provides another sufficient and necessary condition for the dictatorship of social welfare function.