Calculus of Variations and Geometric Measure Theory
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Q. Xia - S. Xu

The Exchange Value Embedded In A Transport System

created by xia1 on 01 Sep 2021


Published Paper

Inserted: 1 sep 2021
Last Updated: 1 sep 2021

Journal: Applied Mathematics and Optimization
Volume: 62
Number: 2
Pages: 229 - 252.
Year: 2010

ArXiv: 1001.5232 PDF


This paper shows that a well designed transport system has an embedded exchange value by serving as a market for potential exchange between consumers. Under suitable conditions, one can improve the welfare of consumers in the system simply by allowing some exchange of goods between consumers during transportation without incurring additional transportation costs. We propose an explicit valuation formula to measure this exchange value for a given compatible transport system. This value is always nonnegative and bounded from above. Criteria based on transport structures, preferences and prices are provided to determine the existence of a positive exchange value. Finally, we study a new optimal transport problem with an objective taking into account of both transportation cost and exchange value.

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