An iterative procedure for evaluating digraph competitions

An iterative procedure for evaluating digraph competitions

0.00 Avg rating0 Votes
Article ID: iaor2003697
Country: Netherlands
Volume: 109
Issue: 1
Start Page Number: 61
End Page Number: 75
Publication Date: Jan 2002
Journal: Annals of Operations Research
Authors: , ,
Abstract:

A competition which is based on the results of (partial) pairwise comparisons can be modelled by means of a directed graph. Given initial weights on the nodes in such digraph competitions, we view the measurement of the importance (i.e., the cardinal ranking) of the nodes as an allocation problem where we redistribute the initial weights on the basis of insights from cooperative game theory. After describing the resulting procedure of redistributing the initial weights, an iterative process is described that repeats this procedure: at each step the allocation obtained in the previous step determines the new input weights. Existence and uniqueness of the limit is established for arbitrary digraphs. Applications to the evaluation of, e.g., sport competitions and paired comparison experiments are discussed.

Reviews

Required fields are marked *. Your email address will not be published.