The possibility of group choice: pairwise comparisons and merging functions |
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Authors: | Thomas L Saaty Luis G Vargas |
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Institution: | (1) Department of Economics, University of Turku, 20014 Turku, Finland;(2) Department of Economics, Turku School of Economics, 20500 Turku, Finland |
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Abstract: | Preferences in Arrow’s conditions are ordinal. Here we show that when intensity of preference represented by reciprocal pairwise
comparisons is considered, it is always possible to construct an Arrowian social welfare function using a two-stage social
choice process. In stage 1, the individual pairwise relations are mapped into a social pairwise relation. In stage 2, the
social pairwise relation is used to generate a cardinal ranking and this ranking is then used to select a particular member
of the choice set. |
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Keywords: | |
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