Details

Autor(en) / Beteiligte

• PASS, Brendan

Titel

UNIQUENESS AND MONGE SOLUTIONS IN THE MULTIMARGINAL OPTIMAL TRANSPORTATION PROBLEM

Ist Teil von

• SIAM journal on mathematical analysis, , Vol.43 (5-6), p.2758-2775

Ort / Verlag

Philadelphia, PA: Society for Industrial and Applied Mathematics

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We study a multimarginal optimal transportation problem. Under certain conditions on the cost function and the first marginal, we prove that the solution to the relaxed, Kantorovich version of the problem induces a solution to the Monge problem and that the solutions to both problems are unique. We also exhibit several examples of cost functions under which our conditions are satisfied, including one arising in a hedonic pricing model in mathematical economics. [PUBLICATION ABSTRACT]