most citedDuality for Borel measurable cost functions

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.OC2008★ 1 cited

Duality for Borel measurable cost functions

Mathias Beiglböck, Walter Schachermayer

We consider the Monge-Kantorovich transport problem in an abstract measure theoretic setting. Our main result states that duality holds if is an arbitra…

math.OC2007

Characterization of optimal Transport Plans for the Monge-Kantorovich-Problem

Walter Schachermayer, Josef Teichmann

We prove that -cyclically monotone transport plans optimize the Monge-Kantorovich transportation problem under an additional measurability condition. This measurability cond…