Scoring indices,top-truncated preferences,and splitting invariance |
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| Institution: | 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;2. Department of Quantitative Economics, Maastricht University, the Netherlands |
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| Abstract: | We present a new characterization of the class of weight-based scoring indices for ranking problems with top-truncated preferences. The main novel axiom is Splitting Invariance: if an alternative is split up into a number of distinct yet unranked alternatives, then the total score of these alternatives should increase by the score of the original alternative, and the scores of the other alternatives should not change. |
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| Keywords: | Weight-based scoring index Top-truncated preferences Splitting invariance |
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