The β-ranking and the β-measure for directed networks: axiomatic characterizations

Abstract

The β-measure has been introduced and characterized by R. van den Brink and R. P. Gilles (Measuring domination in directed networks, Social Networks, 22:141–157, 2000) for measuring the domination in directed networks. The present paper characterizes the ranking induced by the βmeasure. It also provides an alternative characterization of the β-measure. 

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