Mathematical Analysis ON OPTIMALITY OF c-CYCLICALLY MONOTONE TRANSFERENCE PLANS SUR L’OPTIMALITÉ DES PLANS DE TRANSPORT c-CYCLIQUES MONOTONES
نویسندگان
چکیده
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 presented in [7]. We emphasize the measurability assumption on the hidden structure of linear preorder. Résumé. Dans la présente note nous décrivons brièvement la construction introduite dans [7] à propos de l’équivalence entre l’optimalité d’un plan de transport pour le problème de Monge-Kantorovich et la condition de monotonie c-cyclique— ainsi que d’autres sujets que cela nous amène à aborder. Nous souhaitons mettre en évidence l’hypothèse de mesurabilité sur la structure sous-jacente de pré-ordre linéaire.
منابع مشابه
Optimal and Better Transport Plans
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