Partial-conjugates and Dimensionality of Posets
Combinatorics
2014-02-24 v2
Abstract
The Pareto dominance relation of a preference profile is (the asymmetric part of) a partial order. For any integer n, the problem of the existence of an n-agent preference profile that generates the given Pareto dominance relation is to investigate the dimension of the partial order. We provide a characterization of a partial order having dimension n in general.
Keywords
Cite
@article{arxiv.1402.4351,
title = {Partial-conjugates and Dimensionality of Posets},
author = {Shaofang Qi},
journal= {arXiv preprint arXiv:1402.4351},
year = {2014}
}