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EnglishThis Note deals with the equivalence between the optimality of a transport plan for the Monge-Kantorovich problem and the condition of c-cyclical monotonicity, as an outcome of the construction in Bianchini and Caravenna (2009) [7]. We emphasize the measurability assumption on the hidden structure of linear preorder, applied also to extremality and uniqueness problems among the family of transport plans.
| Titolo: | On optimality of c-cyclically monotone transference plans |
| Autori: | |
| Data di pubblicazione: | 2010 |
| Rivista: | |
| Abstract: | This Note deals with the equivalence between the optimality of a transport plan for the Monge-Kantorovich problem and the condition of c-cyclical monotonicity, as an outcome of the construction in Bianchini and Caravenna (2009) [7]. We emphasize the measurability assumption on the hidden structure of linear preorder, applied also to extremality and uniqueness problems among the family of transport plans. |
| Handle: | http://hdl.handle.net/11577/3146968 |
| Appare nelle tipologie: | 01.01 - Articolo in rivista |
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