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Stability of supermartingale optimal transport problems

Deng, Shuoqing et al.
arXiv (OAI Expanded) · Papers
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mathematical-financeprobability
We investigate stability properties of weak supermartingale optimal transport (WSOT) problems on $\mathbb{R}$. For probability measures $μ,ν\in\mathcal{P}_r$ satisfying $μ\leq_{cd} ν$ (equivalently, $Π_S(μ,ν)\neq\emptyset$), we consider supermartingale couplings $π=μ(d x)π_x(d y)$ and the weak trans
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