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Minimal covering set solutions

By M. Lombardi

Abstract

We study necessary and sufficient conditions for a multi-valued solution S to be rationalized in the following sense: there exists a complete asymmetric relation T (a tournament) such that, for each feasible (finite) set, the solution set of S coincides with the minimal covering set of T restricted to that feasible set. Our characterization result relies only on properties relating S across feasible choice sets

Publisher: 'Springer Science and Business Media LLC'
Year: 2009
DOI identifier: 10.1007/s00355-008-0361-5
OAI identifier: oai:eprints.gla.ac.uk:66476
Provided by: Enlighten
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