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On the fundamental theorem of asset pricing: random constraints and bang-bang no-arbitrage criteria

By Igor V. Evstigneev, Klaus Schürger and Michael I. Taksar

Abstract

The paper generalizes and refines the Fundamental Theorem of Asset Pricing of Dalang, Morton and Willinger in the following two respects: (a) the result is extended to a model with portfolio constraints; (b) versions of the no-arbitrage criterion based on the bang-bang principle in control theory are developed.no arbitrage criteria, portfolio constraints, supermartingale measures, bang-bang control

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