Carlier, Guillaume Duality and existence for a class of mass transportation problems and economic applications. (English) Zbl 1176.90409 Kusuoka, Shigeo (ed.) et al., Advances in mathematical economics. Vol. 5. Tokyo: Springer (ISBN 4-431-00003-8/hbk). Adv. Math. Econ. 5, 1-21 (2003). The author considers a class of mass transportation problems introduced by Monge and the associated linear program due to Monge and kantorovich in the setting of a probability measure space. The cost function \(h\) satisfies an assumption introduced by V. Levin [Set-Valued Analysis 7, 7–32 (1999; Zbl 0934.54013)]. The author presents duality, existence and uniqueness results for this class of transportation problems. The assumption on the cost function \(h\) is a generalization of a condition in dimension 1, known as Spence-Mirrless condition. The paper concludes with an application to the economic theory of incentives.For the entire collection see [Zbl 1005.00023]. Reviewer: Srinivas Raghava Mohan (New Delhi) Cited in 25 Documents MSC: 90C08 Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) 90C46 Optimality conditions and duality in mathematical programming 91B40 Labor market, contracts (MSC2010) Keywords:mass transportation; duality; general Fenchel transform; economic theory of incentives; Spence-Mirless condition Citations:Zbl 0934.54013 PDFBibTeX XMLCite \textit{G. Carlier}, Adv. Math. Econ. 5, 1--21 (2003; Zbl 1176.90409)