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Routes and paths of comparison and choice |
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| Authors: | Murat R. Sertel Alexander Van der Bellen |
| Affiliation: | 1. Bo?azi?i University, Bebek-Istanbul 2. Applied Mathematics Division, Marmara Research Institute, Gebze-Kocaeli, Turkey 3. Innsbruck University, Austria 4. Verwaltungsakademie des Bundes, A-1140, Vienna, Austria |
| Abstract: | This paper studies aspects of sequential choice (and elimination) through the ‘routewise’ application of choice. (A choice is a mapping of the subsets of a set X into their respective subsets.) This approach sheds some further light on the ‘path-independence’ of choice, as well as on the logical structure of several rationality criteria for choice, as expressed through the properties of the comparison (or preference relation) revealed by a choice. The results bear particular relevance to the theory of collective choice. |
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