The relationship between Mathematical Utility Theory and the Integrability Problem: some arguments in favour
AbstractThe resort to utility-theoretical issues will permit us to propose a constructive procedure for deriving a homogeneous of degree one, continuous function that gives raise to a primitive demand function under suitably mild conditions. This constitutes the first elementary proof of a necessary and sufficient condition for an integrability problem to have a solution by continuous (subjective utility) functions. Such achievement reinforces the relevance of a technique that was succesfully formalized in Alcantud and Rodríguez-Palmero (2001). The analysis of these two works exposes deep relationships between two apparently separate fields: mathematical utility theory and the revealed preference approach to the integrability problem.
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Bibliographic InfoPaper provided by EconWPA in its series Microeconomics with number 0308002.
Length: 25 pages
Date of creation: 28 Aug 2003
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Note: Type of Document - Tex; prepared on PC; to print on HP; pages: 25 ; figures: none
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Strong Axiom of Homothetic Revelation; revealed preference; continuous homogeneous of degree one utility; integrability of demand.;
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- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
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