193 citations · 630 across the 38 of their papers we have counts for
8 papers · 1 filter
Exploiting arbitrage requires short selling
Eckhard Platen, Stefan Tappe
We show that in a financial market given by semimartingales an arbitrage opportunity, provided it exists, can only be exploited through short selling. This finding provides a theor…
Permutation invariant strong law of large numbers for exchangeable sequences
Stefan Tappe
We provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós-Berk…
Existence of equivalent local martingale deflators in semimartingale market models
Eckhard Platen, Stefan Tappe
This paper offers a systematic investigation on the existence of equivalent local martingale deflators, which are multiplicative special semimartingales, in financial markets given…
The dual Yamada-Watanabe theorem for mild solutions to stochastic partial differential equations
Stefan Tappe
We provide the dual result of the Yamada-Watanabe theorem for mild solutions to semilinear stochastic partial differential equations with path-dependent coefficients. An essential…
No arbitrage and multiplicative special semimartingales
Eckhard Platen, Stefan Tappe
Consider a financial market with nonnegative semimartingales which does not need to have a numéraire. We are interested in the absence of arbitrage in the sense that no self-financ…
No-arbitrage concepts in topological vector lattices
Eckhard Platen, Stefan Tappe
We provide a general framework for no-arbitrage concepts in topological vector lattices, which covers many of the well-known no-arbitrage concepts as particular cases. The main str…