کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624164 1339534 2006 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The nucleolus is well-posed
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The nucleolus is well-posed
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 314, Issue 2, 15 February 2006, Pages 412-422