Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624164 | Journal of Mathematical Analysis and Applications | 2006 | 11 Pages |
Abstract
The lexicographic order is not representable by a real-valued function, contrary to many other orders or preorders. So, standard tools and results for well-posed minimum problems cannot be used. We prove that under suitable hypotheses it is however possible to guarantee the well-posedness of a lexicographic minimum over a compact or convex set. This result allows us to prove that some game theoretical solution concepts, based on lexicographic order are well-posed: in particular, this is true for the nucleolus.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis