Dual envelope results under concave programming
Author:
Michael J. Panik
Journal:
Quart. Appl. Math. 49 (1991), 401-406
MSC:
Primary 90C30; Secondary 49N15
DOI:
https://doi.org/10.1090/qam/1121673
MathSciNet review:
MR1121673
Full-text PDF Free Access
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Additional Information
- S. N. Afriat, Theory of maxima and the method of Lagrange, SIAM J. Appl. Math. 20 (1971), 343–357. MR 324519, DOI https://doi.org/10.1137/0120037
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W. Diewert, Duality approaches to microeconomic theory, Handbook of Mathematical Economics, Vol. II, eds. K. Awon and M. Intriligator, South-Holland Publishing, The Netherlands, 1982
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S. Afriat, Theory of maxima and the method of Lagrange, SIAM J. Appl. Math. 20, 343–357 (1971)
C. Beightler, D. Phillips, and D. Wilde, Foundation of Optimization, 2nd ed. Prentice-Hall, Englewood Cliffs, New Jersey, 1979
J. Bracken and G. McCormick, Selected Applications of Nonlinear Programming, Wiley, New York, 1968
W. Diewert, Duality approaches to microeconomic theory, Handbook of Mathematical Economics, Vol. II, eds. K. Awon and M. Intriligator, South-Holland Publishing, The Netherlands, 1982
A. Fiacco, Introduction to Sensitivity and Stability Analysis in Nonlinear Programming, Academic Press, New York, 1983
A. Geoffrion, Duality in nonlinear programming: A simplified applications oriented development, SIAM Rev. 13, 1–37 (1971)
G. McCormick, Nonlinear Programming: Theory, Algorithms, and Applications, Wiley, New York, 1983
M. Minoux, Mathematical Programming: Theory and algorithms, Wiley, New York, 1986
D. Pierre and M. Lowe, Mathematical Programming via Augmented Lagrangians, Addison-Wesley, Reading, Mass., 1975
L. Pun, Introduction to Optimization Practice, Wiley, New York, 1969
P. Samuelson, Foundations of Economic Analysis, enlarged ed,. Harvard Univ. Press, Cambridge, Mass., 1983
E. Silberberg, The Structure of Economics, McGraw-Hill, New York, 1978
A. Takayama, Mathematical Economics, 2nd ed., Cambridge Univ. Press, New York, 1985
P. Whittle, Optimization under constraints, Wiley, New York, 1971
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Article copyright:
© Copyright 1991
American Mathematical Society