Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/the-exchange-value-embedded-in-a-transport-system-RO1CI2gvzV
References (55)
-
E-mail address: sxu@ucdavis -
Jianzhon Zhang, D. Zhu (1996)
A Bilevel Programming Method for Pipe Network OptimizationSIAM J. Optim., 6
-
(1967)
Minimum cost communication networks , Bell System Tech -
J. Chipman, James Moore (1980)
Compensating Variation, Consumer's Surplus, and WelfareThe American Economic Review, 70
-
J. Eaton, Samuel Kortum (2002)
Technology, Geography, and TradeEconometrica, 70
-
(2003)
Topics in mass transportation -
Jerry Avorn (1929)
TechnologyNature, 123
-
Xinwen Ma, N. Trudinger, Xu-jia Wang (2005)
Regularity of Potential Functions of the Optimal Transportation ProblemArchive for Rational Mechanics and Analysis, 177
-
M. Bernot, V. Caselles, M. Bernot, J. Morel (2008)
Optimal Transportation Networks: Models and Theory -
L. Ambrosio (2003)
Lecture Notes on Optimal Transport Problems -
Histoire de l'Académie Royale des Sciences de Paris, avec les Mémorires de Mathématique et de Physique pour la même année -
A. Figalli, Young-Heon Kim, R. McCann (2009)
When is multidimensional screening a convex program?J. Econ. Theory, 146
-
(1942)
On the translocation of masses . C . R . ( Dokl . ) -
W. Gangbo, R. McCann (1996)
The geometry of optimal transportationActa Mathematica, 177
-
Qinglan Xia (2008)
The Geodesic Problem in Quasimetric SpacesJournal of Geometric Analysis, 19
-
M. F, Addalena (2003)
A variational model of irrigation patterns -
Q. Xia (2007)
The formation of tree leafESAIM Control Optim. Calc. Var., 13
-
L. Kantorovich (2006)
On the Translocation of MassesJournal of Mathematical Sciences, 133
-
M. Florenzano (2003)
General Equilibrium Analysis -
(2007)
On the dimension of an irrigable measure -
L. Evans (1992)
Measure theory and fine properties of functions -
(1781)
Mémoire sur la théorie des déblais et de remblais -
O. Lange (1942)
The Foundations of Welfare EconomicsEconometrica, 10
-
C. Sheng (1991)
A Theory of Value -
(2010)
The foundation of welfare economics -
R. Jordan, D. Kinderlehrer, F. Otto (1996)
THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATIONSiam Journal on Applied Mathematics
-
E. Baudier, G. Debreu (1959)
Theory of Value -
(1987)
Décomposition polaire et ré arrangement monotone des champs de vecteurs -
E-mail address: qlxia@math.ucdavis -
G. Stigler, P. Samuelson (1948)
Foundations of Economic Analysis.Journal of the American Statistical Association, 43
-
Qinglan Xia, Anna Vershynina (2009)
On the Transport Dimension of MeasuresSIAM J. Math. Anal., 41
-
G. Xue, Theodore Lillys, D. Dougherty (1999)
Computing the Minimum Cost Pipe Network Interconnecting One Sink and Many SourcesSIAM J. Optim., 10
-
G. Buttazzo, G. Carlier (2013)
Optimal spatial pricing strategies with transportation costs -
Qinglan Xia (2010)
Boundary regularity of optimal transport paths, 4
-
E. Gilbert (1967)
Minimum cost communication networksBell System Technical Journal, 46
-
(2005)
Traffic plans -
E. Paolini, E. Stepanov (2006)
Optimal transportation networks as flat chainsInterfaces and Free Boundaries, 8
-
(1980)
Compensating Variation -
L. Ambrosio (2003)
Mathematical Aspects of Evolving Interfaces -
L. Evans, W. Gangbo (1999)
Differential equations methods for the Monge-Kantorovich mass transfer problemMemoirs of the American Mathematical Society, 137
-
Mémoire sur la théorie des déblais et de remblais, Histoire de l'Académie Royale des Sciences de Paris, avec les Mémorires de Mathématique et de Physique pour la même année -
C. Villani (2003)
AMS Graduate Studies in Math. -
A. Mas-Colell, M. Whinston, Jerry Green (1995)
Microeconomic Theory -
Esaim: Control, Optimisation and Calculus of Variations the Formation of a Tree Leaf * Qinglan Xia -
A. Brancolini, G. Buttazzo, F. Santambrogio (2006)
Path Functionals over Wasserstein SpacesJournal of the European Mathematical Society, 8
-
Z. Melzak (1961)
On the Problem of SteinerCanadian Mathematical Bulletin, 4
-
T. Pauw, R. Hardt (2003)
Size minimization and approximating problemsCalculus of Variations and Partial Differential Equations, 17
-
Qinglan Xia (2003)
OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMSCommunications in Contemporary Mathematics, 05
-
L. Caffarelli, M. Feldman, R. McCann (2001)
Constructing optimal maps for Monge's transport problem as a limit of strictly convex costsJournal of the American Mathematical Society, 15
-
(1971)
and F -
Qinglan Xia (2004)
Interior regularity of optimal transport pathsCalculus of Variations and Partial Differential Equations, 20
-
B. White (1999)
Rectifiability of flat chainsAnnals of Mathematics, 150
-
G. Debreu (1951)
The Coefficient of Resource Utilization -
T. Koopmans (1958)
Three Essays on the State of Economic Science -
R. Jordan, D. Kinderlehrer, F. Otto (1998)
The variational formulation of the Fokker-Planck equationSIAM J. Math. Anal., 29
- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Springer Science+Business Media, LLC
- Subject
- Mathematics; Numerical and Computational Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- DOI
- 10.1007/s00245-010-9102-0
- Publisher site
- See Article on Publisher Site
Abstract
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 cost. 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.
Journal
Applied Mathematics and Optimization – Springer Journals
Published: Oct 1, 2010