Ranking dynamics and volatility |
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Authors: | Carlos Garcia-Zorita Ronald Rousseau Sergio Marugan-Lazaro Elias Sanz-Casado |
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Institution: | 1. Laboratory of Metric Studies on Information (LEMI), Department of Library and Information Science, Carlos III University of Madrid, C/Madrid 126, Getafe, 28903, Madrid, Spain;2. Research Institute for Higher Education and Science (INAECU), Carlos III University of Madrid-Autonomous University of Madrid, C/Madrid 126, Getafe, 28903, Madrid, Spain;3. University of Antwerp, Faculty of Social Sciences, B-2020, Antwerpen, Belgium;4. KU Leuven, Facultair Onderzoekscentrum ECOOM, Naamsestraat 61, Leuven, B-3000, Belgium |
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Abstract: | Scientific journals are ordered by their impact factor while countries, institutions or researchers can be ranked by their scientific production, impact or by other simple or composite indicators as in the case of university rankings. In this paper, the theoretical framework proposed in Criado, R., Garcia, E., Pedroche, F. & Romance, M. (2013). A new method for comparing rankings through complex networks: Model and analysis of competitiveness of major European soccer leagues. Chaos, 23, 043114 for football competitions is used as a starting point to define a general index describing the dynamics or its opposite, stability, of rankings. Some characteristics to study rankings, ranking dynamics measures and axioms for such indices are presented. Furthermore, the notion of volatility of elements in rankings is introduced. Our study includes rankings with ties, entrants and leavers. Finally, some worked out examples are shown. |
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Keywords: | Ranking dynamics Ranking volatility Stability Competitiveness Ties Entrants Leavers |
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