Axiomatic Analysis of Intergenerational Equity

提出了代际效用无限视界分布的社会评价分析的新框架。我们的框架是对无限效用流（无限维效用向量）的社会评价分析框架的扩展，它使我们能够在一代人可能变化的情况下检查社会评价。我们在这个扩展框架中引入了几种效用评价关系，并考察了这些评价关系满足哪些公理（好的性质）。本文引入的社会评价关系被定义为对代际效用向量流集的评价关系，可以用来考察代际人口变化与福利变化之间的权衡关系。

A new framework for the analysis of social evaluation of infinite-horizon distributions of utilities of generations is presented. Our framework is the exitension of the framework for the analysis of social evaluation of infinite utility streams (infinite-dimensional utility vectors), and it enables us to examine social evaluation in the case that a population of a generation may vary. We introduce several utilitarian evaluation relations in this extended framework and examine which axioms (good properties) these evaluation relations satisfy. The social evaluation relations we introduced are defined as an evaluation relation on the set of streams of utility vectors of generations, and they can be used to examine the trade-off between demographic change and welfare change in generations.