Fenrong Liu (Tsinghua University and ILLC/UvA)

Preference Lifting under Uncertainty

Abstract: Probability is widely adopted in the study of beliefs while preference is usually understood as an ordering with some qualitative properties. In this talk, I will look at the issue of preference lifting under uncertainty, a typical situation that calls for combing preference and probability. I will present a reason-based sampling method, on the basis of a pair-wise comparison, a natural way of lifting the preference between objects to that over sets of objects will be proposed. Logical properties of such a method will be explored too. This is a joint work with Xiaoxuan Fu.