Uniqueness and Monge Solutions in the Multimarginal Optimal Transportation Problem
نویسنده
چکیده
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.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 43 شماره
صفحات -
تاریخ انتشار 2011