Hervés-Beloso, Carlos and Monteiro, Paulo Klinger (2009): Existence, continuity and utility representation of strictly monotonic preferences on continuum of goods commodity spaces.
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It is an easy task for most commodity spaces, to find examples of strictly monotonic preference relations. For example, in the space of bounded sequences of real numbers.. However, it is not easy for spaces like the space of bounded functions defined in the real interval [0, 1]. In this note we investigate the roots of this difficulty. We show that strictly monotonic preferences on the space of bounded function on any set K always exist. However, if K is uncountable no such preference is continuous and none of them have a utility representation.
|Item Type:||MPRA Paper|
|Original Title:||Existence, continuity and utility representation of strictly monotonic preferences on continuum of goods commodity spaces|
|Keywords:||utility representation/ strictly monotonic preferences|
|Subjects:||D - Microeconomics > D1 - Household Behavior and Family Economics > D11 - Consumer Economics: Theory
B - History of Economic Thought, Methodology, and Heterodox Approaches > B5 - Current Heterodox Approaches > B50 - General
|Depositing User:||Carlos Hervés-Beloso|
|Date Deposited:||11. May 2009 01:47|
|Last Modified:||16. Feb 2013 02:22|
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