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We give characterizations of asymptotic arbitrage of the first and second kind and of strong asymptotic arbitrage for a … asymptotic arbitrage without transaction costs; but with transaction costs there does not exist any form of asymptotic arbitrage …
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In a one price economy, the Fundamental Theorem of Asset Pricing (FTAP) establishes that no-arbitrage is equivalent to … the hyperplane that separates the attainable gain subspace and the convex cone representing arbitrage opportunities … anymore. We use convex optimization, and the conic property of this region to characterize the "no-arbitrage" principle in …
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