Ranking via Arrow-Debreu Equilibrium
Computer Science and Game Theory
2009-10-06 v1
Abstract
In this paper, we establish a connection between ranking theory and general equilibrium theory. First of all, we show that the ranking vector of PageRank or Invariant method is precisely the equilibrium of a special Cobb-Douglas market. This gives a natural economic interpretation for the PageRank or Invariant method. Furthermore, we propose a new ranking method, the CES ranking, which is minimally fair, strictly monotone and invariant to reference intensity, but not uniform or weakly additive.
Cite
@article{arxiv.0910.0513,
title = {Ranking via Arrow-Debreu Equilibrium},
author = {Ye Du},
journal= {arXiv preprint arXiv:0910.0513},
year = {2009}
}