Economics > Theoretical Economics
[Submitted on 26 Aug 2021 (v1), last revised 27 Jan 2022 (this version, v2)]
Title:The Continuity Postulate in Economic Theory: A Deconstruction and an Integration
View PDFAbstract:This paper presents six theorems and ten propositions that can be read as deconstructing and integrating the continuity postulate under the rubric of pioneering work of Eilenberg, Wold, von Neumann-Morgenstern, Herstein-Milnor and Debreu. Its point of departure is the fact that the adjective continuous applied to a function or a binary relation does not acknowledge the many meanings that can be given to the concept it names, and that under a variety of technical mathematical structures, its many meanings can be whittled down to novel and unexpected equivalences that have been missed in the theory of choice. Specifically, it provides a systematic investigation of the two-way relation between restricted and full continuity of a function and a binary relation that, under convex, monotonic and differentiable structures, draws out the behavioral implications of the postulate.
Submission history
From: Metin Uyanik [view email][v1] Thu, 26 Aug 2021 12:29:46 UTC (141 KB)
[v2] Thu, 27 Jan 2022 03:17:59 UTC (138 KB)
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