کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
966579 1479255 2016 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Afriat's Theorem and Samuelson's 'Eternal Darkness'
ترجمه فارسی عنوان
قضیه آفریقا و تاریکی ابدی ساموئلسون
کلمات کلیدی
قضیه افریقا، قطعیت، ترجیح آشکار، حداکثر بهره وری،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
Suppose that we have access to a finite set of expenditure data drawn from an individual consumer, i.e., how much of each good has been purchased and at what prices. Afriat (1967) was the first to establish necessary and sufficient conditions on such a data set for rationalizability by utility maximization. In this note, we provide a new and simple proof of Afriat's Theorem, the explicit steps of which help to more deeply understand the driving force behind one of the more curious features of the result itself, namely that a concave rationalization is without loss of generality in a classical finite data setting. Our proof stresses the importance of the non-uniqueness of a utility representation along with the finiteness of the data set in ensuring the existence of a concave utility function that rationalizes the data.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Economics - Volume 65, August 2016, Pages 36-40
نویسندگان
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