What aggregation rules can be classified as logical concepts?
Theoretical Economics
2026-04-03 v1 Logic
Abstract
In this paper, we study aggregation rules with nontrivial symmetric classes of invariant sets (restricted domains), assuming that they, unlike others, have a logical nature. In the simplest case, we provide a complete classification of such rules. Our primary tools are methods of universal algebra and the theory of closed classes of discrete functions.
Cite
@article{arxiv.2604.01260,
title = {What aggregation rules can be classified as logical concepts?},
author = {Nikolay L. Poliakov},
journal= {arXiv preprint arXiv:2604.01260},
year = {2026}
}