Ranking via Arrow-Debreu Equilibrium

Details Ranking via Arrow-Debreu Equilibrium Ranking via Arrow-Debreu Equilibrium

2009-10-03

arxiv.org/abs/0910.0513v1

Computer Science

Computer Science and Game Theory

Scientific paper

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.

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