Nonbinary Social Choice: An Impossibility Theorem
将阿罗不可能性定理推广到对两元素(或更一般的小集合)无法进行选择的情形,采用社会选择函数而非社会福利函数框架,明确可行集大小假设并探讨其如何导致不可能性结果。
This paper contains a generalization of the General Possibility Theorem to situations where choice over two-element (more generally, "small") sets is not possible. The analysis is developed in terms of the social choice function formulation rather than the social welfare function approach. In this formulation, assumptions concerning the size of sets of feasible alternatives are explicit, allowing the role of these assumptions in inducing impossibility results to be explored.