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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.OC2008★ 1 cited
Optimal and better transport plans
Mathias Beiglböck, Martin Goldstern, Gabriel Maresch +1
We consider the Monge-Kantorovich transport problem in a purely measure theoretic setting, i.e. without imposing continuity assumptions on the cost function. It is known that trans…