This paper develops the idea of a choice as a mapping of subsets of a set X into their respective subsets and the idea of the comparison, as a relation between elements of X, that is determined or 'revealed' by a choice. It then studies how certain properties of a choice imply or are implied by cert
Routes and paths of comparison and choice
โ Scribed by Murat R. Sertel; Alexander Bellen
- Publisher
- Springer US
- Year
- 1980
- Tongue
- English
- Weight
- 640 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0048-5829
No coin nor oath required. For personal study only.
โฆ Synopsis
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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