Pratelli A (2008)
Publication Status: Published
Publication Type: Journal article
Publication year: 2008
Publisher: Springer Verlag (Germany)
Book Volume: 258
Pages Range: 677-690
Journal Issue: 3
DOI: 10.1007/s00209-007-0191-7
We consider a mass transport problem among Polish spaces, and we show that a transport plan concentrated in a c-cyclical monotone set is optimal if the cost function is continuous and possibly +infinity valued; the same result is proved for a generic l.s.c. cost function in the case when the measures are purely atomic. This generalizes the previously known results.
APA:
Pratelli, A. (2008). On the sufficiency of c-cyclical monotonicity for optimality of transport plans. Mathematische Zeitschrift, 258(3), 677-690. https://dx.doi.org/10.1007/s00209-007-0191-7
MLA:
Pratelli, Aldo. "On the sufficiency of c-cyclical monotonicity for optimality of transport plans." Mathematische Zeitschrift 258.3 (2008): 677-690.
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