Power on Digraphs
| Autor: | Hans Peters, Judith Timmer, Rene Van Den Brink |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Operations Research and Decisions, Vol vol. 26, Iss no. 2, Pp 107-125 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2081-8858 2391-6060 |
| Popis: | 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, ß- and apex type indices. (original abstract) |
| Databáze: | Directory of Open Access Journals |
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