Template-type: ReDif-Paper 1.0
Author-Name: Peters, Hans
Author-workplace-name: QE Math. Economics & Game Theory, RS: GSBE ETBC
Author-Name: Timmer, Judith
Author-Name: van den Brink, Rene
Title: Power on digraphs
Abstract: It is assumed that relations between n players are reflected by a directed<br/>graph or digraph. Such a digraph is called invariant if there is an arc<br/>between any two players between whom there is also a directed path.<br/>We characterize a class of power indices for invariant digraphs based on<br/>four axioms: Null Player, Constant Sum, Anonymity, and the Transfer<br/>Property. This class is determined by 2n ¡ 2 parameters. By consider-<br/>ing additional conditions about the effect of adding a directed link (arc)<br/>between two players we single out three different, one parameter families<br/>of power indices, reflecting several well-known indices from the literature:<br/>Copeland score, β- and apex-type indices.
Classification-JEL: c71
Series: GSBE Research Memoranda
Creation-Date: 20160401
Number: 019
File-URL: https://cris.maastrichtuniversity.nl/ws/files/4571970/RM16019.pdf
File-Format: application/pdf
File-Size: 396635
Handle: Repec:unm:umagsb:2016019
DOI: 10.26481/umagsb.2016019