RUI: Nonbinary Social Choice for Economic Environments

这项研究是为了解决在比通常认为的更现实的环境中社会选择的众所周知的问题。具体地说，研究者将改变在社会选择研究中通常假定的普遍性、二元性和及物性的要求。这些要求是在肯尼斯·阿罗于1951年建立的总体框架内工作的研究人员最基本的要求之一。这项研究将采用由现实世界计算的迫切需要形成的选择公理，并开发生成最佳结果集成员的算法，以允许在选择计算程序时有更大的自由度。这是因为社会可能希望牺牲一些计算效率，以打开社会选择规则的大门，该规则具有比更有效的算法所允许的更令人满意的伦理属性。目标是研究定义一种有效的、非二元的社会选择对应关系的可能性，这种对应关系可以用来解决经济学家通常面临的各种分配福利问题。这项重要的研究代表着在基本模型中朝着更现实的方向迈进，并允许社会选择理论和标准经济模型之间更好地匹配。

This research is to address the well known problems of social choice in environments more realistic than those normally considered. In particular, the researcher will alter the requirements of universal domain, binary-ness, and transitivity commonly assumed in work on social choice. These requirements are among the most basic for researchers working within the general framework established by Kenneth Arrow in 1951. This study will adopt choice axioms shaped by the exigencies for real world computation and develop algorithms generating a member of the set of best outcomes to allow for more latitude in the choice of a computational procedure. This is because society may wish to sacrifice some computational efficiency to open the door to a social choice rule that has more desirable ethical properties than a more efficient algorithm would permit. The goal is to examine the possibility of defining an efficient, nonbinary, social choice correspondence that can be used to settle the kinds of distributional welfare questions that typically confronted economists. This important study represents a move toward greater realism in the basic models, and permits a much better fit between social choice theory and standard economic models.