The Owen and Shapley spatial power indices: A comparison and a generalization
| Autor: | Mathieu Martin, Zéphirin Nganmeni, Bertrand Tchantcho |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Shapley–Shubik power index
Class (set theory) Index (economics) Sociology and Political Science Generalization 05 social sciences General Social Sciences Space (commercial competition) Shapley value Position (vector) 0502 economics and business 050206 economic theory Point (geometry) 050207 economics Statistics Probability and Uncertainty Mathematical economics General Psychology Mathematics |
| Zdroj: | Mathematical Social Sciences. 89:10-19 |
| ISSN: | 0165-4896 |
| DOI: | 10.1016/j.mathsocsci.2017.05.003 |
| Popis: | Spatial games take into account the position of any voter in the space. In this class of games, two main indices of political power were defined. The first by Owen (1971) and the second, by Shapley (1977), later on extended in a two-dimensional space by Owen and Shapley (1989). We propose a generalization of Owen index. We show that the method proposed by this later in which players ordering is based on the distance between bliss and political issues points, yields the Shapley index if issues can be any point in the space. |
| Databáze: | OpenAIRE |
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