Multi-species Optimal Transportation

Xavier Bacon ()
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Xavier Bacon: Université Paris 1 Panthéon-Sorbonne

Journal of Optimization Theory and Applications, 2020, vol. 184, issue 2, No 1, 315-337

Abstract: Abstract Given two n-dimensional measures on Polish spaces, we propose an optimal transportation’s formulation, inspired by classical Kantorovitch’s formulation in the scalar case. In particular, we established a strong duality result and as a consequence, optimality conditions are investigated. Wasserstein’s metrics induced by our formulation are also investigated.

Keywords: Optimal transport; Calculus of variations; Wasserstein distance; 49J35; 49K27; 49K35 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-019-01590-z

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