A Generalization of Arrow’s Lemma on Extending a Binary Relation

By examining whether the individualistic assumptions used in social choice could be used in the aggregation of individual preferences, Arrow proved a key lemma that generalizes the famous Szpilrajn’s extension theorem and used it to demonstrate the impossibility theorem. In this paper, I provide a c...

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Bibliographic Details
Main Author: Athanasios Andrikopoulos
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2019/5397036
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