Social welfare relations and irregular sets
Logic
2020-11-06 v2
Abstract
Total social welfare relations satisfying Pareto and equity principles on infinite utility streams has revealed a non-constructive nature. In this paper we study more deeply the needed fragment of AC. In particular, we show that such relations need a strictly larger fragment of AC than non-Lebesgue and non-Ramsey sets. We also prove a connection with the Baire property, answering Problem 11.14 posed in "Flutters and chameleon", by Mathias et al.
Cite
@article{arxiv.2004.10843,
title = {Social welfare relations and irregular sets},
author = {Ram Sewak Dubey and Giorgio Laguzzi},
journal= {arXiv preprint arXiv:2004.10843},
year = {2020}
}
Comments
20 pages