An alternative axiomatization of the Hirsch index |
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| Institution: | 1. Laboratory for Studies of Research and Technology Transfer, Institute for System Analysis and Computer Science (IASI-CNR), National Research Council of Italy, Italy;2. Italian National Agency for the Evaluation of Universities and Research Institutes (ANVUR), Italy;3. Department of Management and Engineering University of Rome “Tor Vergata”, Italy;1. Division for Science and Innovation Studies, Administrative Headquarters of the Max Planck Society, Hofgartenstr. 8, 80539 Munich, Germany;2. Amsterdam School of Communication Research (ASCoR), University of Amsterdam, Kloveniersburgwal 48, 1012 CX Amsterdam, The Netherlands;3. Institute for Research Information and Quality Assurance (iFQ), Schützenstraße 6a, 10117 Berlin, Germany;4. Center for R&D Monitoring (ECOOM) and Department of Managerial Economics, Strategy and Innovation, Katholieke Universiteit Leuven, Waaistraat 6, 3000 Leuven, Belgium;1. SciTech Strategies Inc., Berwyn, PA 19312, USA;2. SciTech Strategies Inc., Albuquerque, NM 87122, USA |
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| Abstract: | We axiomatize the well-known Hirsch index (h-index), which evaluates researcher productivity and impact on a field, and formalize a new axiom called head-independence. Under head-independence, a decrease, to some extent, in the number of citations of “frequently cited papers” has no effect on the index. Together with symmetry and axiom D, head-independence uniquely characterizes the h-index on a certain domain of indices. Some relationships between our axiomatization and those in the literature are also investigated. |
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| Keywords: | Axiomatization Symmetry Head-independence |
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