Arrow type impossibility theorems over median algebras
Discrete Mathematics
2015-08-20 v1
Abstract
We characterize trees as median algebras and semilattices by relaxing conservativeness. Moreover, we describe median homomorphisms between products of median algebras and show that Arrow type impossibility theorems for mappings from a product of median algebras to a median algebra are possible if and only if is a tree, when thought of as an ordered structure.
Keywords
Cite
@article{arxiv.1508.04741,
title = {Arrow type impossibility theorems over median algebras},
author = {Miguel Couceiro and Stephan Foldes and Gerasimos C. Meletiou},
journal= {arXiv preprint arXiv:1508.04741},
year = {2015}
}