Abstract
The implication of concavity in economics have suggested in the scalar case several kinds of generalization starting from the pioneering work of Arrow-Enthoven (1961).
The aim of this paper is to point out the role played by generalized concavity and by the tangent cone to the feasible region at a point, in stating several necessary and/or sufficient optimality conditions for a vector and scalar optimization problem.
Furthermore, in deriving F.John optimality conditions, the role of separations theorems is analyzed in order to suggest suitable formulations of Kuhn-Tucker conditions and a way for studying regularity conditions.
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References
Arrow, K.J and Enthoven, A.C (1961) “Quasi concave Programming” Econometrica 29, 779–800
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© 1993 Springer-Verlag Berlin · Heidelberg
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Cambini, A., Martein, L. (1993). An Approach to Optimality Conditions in Vector and Scalar Optimization. In: Diewert, W.E., Spremann, K., Stehling, F. (eds) Mathematical Modelling in Economics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78508-5_34
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DOI: https://doi.org/10.1007/978-3-642-78508-5_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78510-8
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