کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5101374 | 1479248 | 2017 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Axioms for parametric continuity of utility when the topology is coarse
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
In economics we often take as primitive a collection of preference orderings (on actions or alternatives) indexed by a parameter. Moreover, it is often useful to represent such preferences with a collection of utility functions that is continuous in the parameter. Existing representation theorems assume that the topology on the parameter space is metrizable. This excludes settings where the topology is coarse e.g. the weakâ topology on a set of probability measures or the product topology on many function spaces. Yet such spaces are often normal (disjoint closed sets can be separated). We introduce an axiom on preferences for parametric continuity when actions are countable and the parameter space is normal. Utility is jointly continuous on actions à parameters when actions have the discrete topology.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Economics - Volume 72, October 2017, Pages 88-94
Journal: Journal of Mathematical Economics - Volume 72, October 2017, Pages 88-94
نویسندگان
Patrick H. O'Callaghan,