Constructive and computable Hahn–Banach theorems for the (second) fundamental theorem of welfare economics

K. Vela Velupillai

Journal of Mathematical Economics, 2014, vol. 54, issue C, 36-39

Abstract: The Hahn–Banach Theorem plays a crucial role in the second fundamental theorem of welfare economics. To date, all mathematical economics and advanced general equilibrium textbooks concentrate on using non-constructive or incomputable versions of this celebrated theorem. In this paper we argue for the introduction of constructive or computable Hahn–Banach theorems in mathematical economics and advanced general equilibrium theory. The suggested modification would make applied and policy-oriented economics intrinsically computational.

Keywords: Fundamental theorems of welfare economics; Hahn–Banach theorem; Constructive analysis; Computable analysis (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:54:y:2014:i:c:p:36-39

DOI: 10.1016/j.jmateco.2014.08.004

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