基于判断聚合逻辑的偏好聚合分析

Analysis of Preference Aggregation Based on Judgment Aggregation Logic

如何将个体理性偏好聚合为群体理性偏好是社会理性认知研究面临的主要难题,判断聚合研究为偏好聚合问题的分析提供了新思路。从逻辑的视角探究判断聚合与偏好聚合之间的关系,分析了判断聚合模态逻辑JAL,证明利用一阶逻辑语言基于JAL可以构建一个偏好聚合的模态逻辑JAL(LK),以将偏好聚合转化为判断聚合来处理,因而判断聚合模型更具一般性。

How to aggregate individual rational preference into collective rational preference is the main problem faced by the cognitive study of social rationality. The research about judgment aggregation brings about new ideas for analyzing preference aggregation questions. The close connection between judgment aggregation and preference aggregation was investigated from the logic perspective. After the analysis of the judgment aggregation logic JAL, it was proved that the modal logic JAL（LK） of preference aggregation could be constructed based on JAL in the language of first-order logic, thus preference aggregation questions could be changed into judgment aggregation questions, and the generality of the judgment aggregation model was illustrated.