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On The Fundamental Theorem Of Asset Pricing: Random Constraints And Bang-Bang No-Arbitrage Criteria
Authors:Igor V  Evstigneev Klaus  Schürger Michael I  Taksar
Institution:School of Economic Studies, University of Manchester; Department of Statistics, University of Bonn; Mathematics Department, University of Missouri
Abstract:The paper generalizes and refines the Fundamental Theorem of Asset Pricing of Dalang, Morton, and Willinger (1990) in the following two respects: (a) the result is extended to a model with general portfolio constraints, and (b) versions of the no-arbitrage criterion based on the bang-bang principle in control theory are developed.
Keywords:no-arbitrage criteria  portfolio constraints  supermartingale measures  bang-bang control
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