Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 0000-00-00 Number: 06-044/1 Author-Name: René van den Brink Author-Email: email@example.com Author-Workplace-Name: Faculty of Economics and Business Administration, Vrije Universiteit Amsterdam Author-Name: Robert P. Gilles Author-Email: firstname.lastname@example.org Author-Workplace-Name: Department of Economics, Virginia Tech, Virginia Title: The Outflow Ranking Method for Weighted Directed Graphs Abstract: A ranking method assigns to every weighted directed graph a (weak) orderingof the nodes. In this paper we axiomatize the ranking method that ranksthe nodes according to their outflow using four independent axioms. This outflowranking method generalizes the ranking by outdegree for directed graphs.Furthermore, we compare our axioms with other axioms discussed in the literature.
This discussion paper has resulted in a publication in the European Journal of Operational Research, 193(2), 484-91. Classification-JEL: C65; D71 Keywords: Decision analysis; Weighted directed graph; Ranking method File-Url: http://papers.tinbergen.nl/06044.pdf File-Format: application/pdf File-Size: 203987 bytes Handle: RePEc:tin:wpaper:20060044