Abstract
It is assumed that relations between n players are represented by a directed graph or digraph. Such a digraph is called invariant if there is a link (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 considering additional conditions about the effect of adding a directed link between two players, we single out three different, one-parameter families of power indices, reflecting several well-known indices from the literature: the Copeland score, beta- and apex type indices.
Original language | English |
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Pages (from-to) | 107-125 |
Journal | Operations Research and Decisions |
Volume | 26 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2016 |
Keywords
- digraph
- power index
- transfer property
- link addition