Balder, Erik (2008): Exact and Useful Optimization Methods for Microeconomics. Published in: Springer Lecture Notes in Economics and Mathematical Systems , Vol. 655, No. New Insights into the Theory of Giffen Goods (12 October 2011): pp. 2138.

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Abstract
This paper points out that the treatment of utility maximization in current textbooks on microeconomic theory is deficient in at least three respects: breadth of coverage, completenesscumcoherence of solution methods and mathematical correctness. Improvements are suggested in the form of a KuhnTucker type theorem that has been customized for microeconomics. To ensure uniqueness of the optimal solution (if applicable), an apparently new adaptation of the notion of strict quasiconcavity is introduced. The role of the domain of differentiability of the utility function is emphasized. This is not only to repair a widespread error in the microeconomic literature but also to point out that this domain can be chosen sensibly in order to include the maximization of certain nondifferentiable utility functions, such as Leontiev utility functions. To underscore the usefulness of the optimality conditions obtained here, five quite different instances of utility maximization are completely solved by a single coherent method.
Item Type:  MPRA Paper 

Original Title:  Exact and Useful Optimization Methods for Microeconomics 
Language:  English 
Keywords:  microeconomics, utility maximization, KuhnTucker theorem 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61  Optimization Techniques ; Programming Models ; Dynamic Analysis D  Microeconomics > D0  General > D00  General 
Item ID:  47080 
Depositing User:  Professor Erik Balder 
Date Deposited:  23 May 2013 01:22 
Last Modified:  04 Oct 2019 04:51 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/47080 