满足排列不变性的无限人口上的最大社会福利关系
综合经济学
2024-11-08 v2 经济学
摘要
本文研究构成无限人口上的社会福利关系（SWRs）。我们的主要结果是对满足强 Pareto 条件、排列不变性（另称“相对匿名性”和“同构不变性”）以及进一步的“准独立性”公理的 utilitarian SWR 的新表征：即在弱关系被视为有序对的集合时，该 SWR 是满足上述条件的最大的 SWR。
引用
@article{arxiv.2408.05851,
title = {Maximal Social Welfare Relations on Infinite Populations Satisfying Permutation Invariance},
author = {Jeremy Goodman and Harvey Lederman},
journal= {arXiv preprint arXiv:2408.05851},
year = {2024}
}
备注
Theorem 1 generalized to a richer domain of worlds (finite-valued real functions), and strengthened by eliminating an earlier axiom, Additive Invariance. The result no longer uses lotteries, allowing for the combination of two earlier axioms (Dominance, Ex Ante Indifference) into a single one (Quasi-Independence). Various further small changes of terminology