کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
966321 1479275 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem when individual preferences are weak orders
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem when individual preferences are weak orders
چکیده انگلیسی
We will show that in the case where there are two individuals and three alternatives (or under the assumption of the free-triple property), and individual preferences are weak orders (which may include indifference relations), the Arrow impossibility theorem [Arrow, K.J., 1963. Social Choice and Individual Values, second ed. Yale University Press] that there exists no binary social choice rule which satisfies the conditions of transitivity, Pareto principle, independence of irrelevant alternatives, and non-existence of dictator is equivalent to the Brouwer fixed point theorem on a 2-dimensional ball (circle). Our study is an application of ideas by Chichilnisky [Chichilnisky, G., 1979. On fixed points and social choice paradoxes. Economics Letters 3, 347-351] to a discrete social choice problem, and also it is in line with the work by Baryshnikov [Baryshnikov, Y., 1993. Unifying impossibility theorems: a topological approach. Advances in Applied Mathematics 14, 404-415].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Economics - Volume 45, Issues 3–4, 20 March 2009, Pages 241-249
نویسندگان
,