کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
972959 1479752 2010 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the existence of undominated elements of acyclic relations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the existence of undominated elements of acyclic relations
چکیده انگلیسی
We study the existence of undominated elements of acyclic relations. A sufficient condition for the existence is given without any topological assumptions when the dominance relation is finite valued. The condition says that there is a point such that all dominance sequences starting from this point are reducible. A dominance sequence is reducible, if it is possible to remove some elements from it so that the resulting subsequence is still a dominance sequence. Necessary and sufficient conditions are formulated for closed acyclic relations on compact Hausdorff spaces. Reducibility is the key concept also in this case. A representation theorem for such relations is given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Social Sciences - Volume 60, Issue 3, November 2010, Pages 217-221
نویسندگان
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