可選擇集合的多樣性：以多重偏好所衍伸之附加價值進行評估

Abstract

這篇論文從多重偏好的角度出發，探討集合中蘊含的多樣性，並提出一種基於滿足這些偏好程度的集合排序。我使用參考點作為具體化「滿足」概念的工具。

首先我將比較我所提出的模型與文獻中其他基於一組給定偏好進行集合排序的模型之間的差異。然後，在潛在偏好不可觀察的情況下，我發現這種集合排序可以用與Kreps (1979) 相同的公理來描述。然而，在我的模型中，我推導出了一種不同的表示方法，其中集合的評估是基於偏好滿足，而非最大化。

This paper explores the diversity present in opportunity sets from the perspective of multiple preferences and proposes a ranking of sets based on the degree to which they satisfy these preferences. I utilize a reference point (or, a default option) as a tool to concretize the concept of satisfaction.

First I compare the differences between my model and other model in the literature that also rank sets based on a given collection of preferences. Then, I show that my model can be characterized by the two axioms when the underlying preferences are unobservable. These axioms are the same as those in Kreps (1979), however, I derived a distinct representation under which a set is evaluated based on preference satisfaction, rather than maximization.