On the Arrow property
نویسندگان
چکیده
منابع مشابه
On the Arrow Property Sh782
We deal with a finite combinatorial problem arising for a question on generalizing Arrow theorem on social choices.
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We prove a re ned version of Shelah's theorem of the Arrow property. Let Cr(A) be the set of all choice functions de ned on the r-element subsets of a nite set A. Then any non-empty proper symmetric subset D of the set Cr(A) has the Arrow property whenever |A| ≥ 5 and r ≥ 3. We also describe all symmetric sets D ⊂ Cr(A) that have the Arrow property if either r = 2, or r = 3 and |A| = 4.
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2005
ISSN: 0196-8858
DOI: 10.1016/j.aam.2002.03.001