کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
966756 931102 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Simple axioms for countably additive subjective probability
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Simple axioms for countably additive subjective probability
چکیده انگلیسی
This paper refines Savage's theory of subjective probability for the case of countably additive beliefs. First, I replace his continuity axioms P6 and P7 with a simple modification of Arrow's (1970) Monotone Continuity. Second, I relax Savage's primitives: in my framework, the class of events need not be a σ-algebra, and acts need not have finite or bounded range. By varying the domains of acts and events, I obtain a unique extension of preference that parallels Caratheodory's unique extension of probability measures. Aside from subjective expected utility, I characterize exponential time discounting in a setting with continuous time and an arbitrary consumption set.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Economics - Volume 46, Issue 5, 20 September 2010, Pages 867-876
نویسندگان
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