The relationship between Mathematical Utility Theory and the Integrability Problem: some arguments in favour

José Alcantud (), Gianni Bosi, C. Rodríguez-Palmero and M. Zuanon
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C. Rodríguez-Palmero: Universidad de Valladolid
M. Zuanon: Università Cattolica del Sacro Cuore

Microeconomics from University Library of Munich, Germany

Abstract: The 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.

Keywords: Strong Axiom of Homothetic Revelation; revealed preference; continuous homogeneous of degree one utility; integrability of demand. (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2003-08-28
New Economics Papers: this item is included in nep-mic
Note: Type of Document - Tex; prepared on PC; to print on HP; pages: 25 ; figures: none
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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpmi:0308002

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