A separating hyperplane theorem, the fundamental theorem of asset pricing, and Markov's principle

DOI10.1016/J.APAL.2016.05.003zbMath1402.03093OpenAlexW2406687319MaRDI QIDQ306581

Gregor Svindland, Josef Berger

Publication date: 31 August 2016

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2016.05.003

zbMATH Keywords

constructive mathematicsreverse mathematicsfundamental theorem of asset pricingMarkov's principleseparating hyperplane theorem

Mathematics Subject Classification ID

Fundamental topics (basic mathematics, methodology; applicable to economics in general) (91B02) Constructive and recursive analysis (03F60) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Foundations of classical theories (including reverse mathematics) (03B30)

Related Items (4)

Convexity and constructive infima ⋮ Convexity and unique minimum points ⋮ Constructive Proofs of Negated Statements ⋮ On Farkas' lemma and related propositions in BISH

Cites Work

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• Which set existence axioms are needed to prove the separable Hahn-Banach theorem?
• An omniscience principle, the König Lemma and the Hahn‐Banach theorem

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