Abstract
If either of the problems (15.1) and (15.2) has a finite optimal solution, so has the other, and the corresponding values of the objective functions are equal. If either problem has an “unbounded optimum”, then the other problem has no admissible solutions.
Keywords
- Saddle Point
- Nonlinear Programming
- Nonlinear Program
- Primal Problem
- Slater Condition
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References
Gass (1994), Luenberger (1984), Intriligator (1971), Sydsæter and Hammond (2005), Sydsæter et al. (2005), Simon and Blume (1994), Beavis and Dobbs (1990), Dixit (1990), and Clarke (1983).
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© 2010 Springer-Verlag Berlin Heidelberg
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Sydsæter, K., Strøm, A., Berck, P. (2010). Linear and nonlinear programming. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_15
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DOI: https://doi.org/10.1007/978-3-540-28518-2_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
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