Power on digraphs

Hans Peters, Judith Timmer and Rene van den Brink (jrbrink@feweb.vu.nl)

No 19, Research Memorandum from Maastricht University, Graduate School of Business and Economics (GSBE)

Abstract: It is assumed that relations between n players are reflected by a directed graph or digraph. Such a digraph is called invariant if there is an arc between any two players between whom there is also a directed path. We characterize a class of power indices for invariant digraphs based on four axioms: Null Player, Constant Sum, Anonymity, and the Transfer Property. This class is determined by 2n ¡ 2 parameters. By consider- ing additional conditions about the effect of adding a directed link (arc) between two players we single out three different, one parameter families of power indices, reflecting several well-known indices from the literature: Copeland score, β- and apex-type indices.

JEL-codes: C71 (search for similar items in EconPapers)
Date: 2016-04-01
New Economics Papers: this item is included in nep-gth
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Citations: View citations in EconPapers (1)

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Journal Article: Power on digraphs (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:unm:umagsb:2016019

DOI: 10.26481/umagsb.2016019

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