Chichilnisky, Graciela and Kalman, P.J. (1977): Properties of critical points and operators in economics. Published in: Journal of Mathematical Analysis and Applications , Vol. 57, No. no. 2 (February 1977): pp. 340-349.
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The study of the local characteristics of equilibrium positions generated by the constrained maximization of some criterion functions (such as utility, profit, cost, etc.) goes back to Antonelli's paper  of 1886. Certain local properties have been proved to be particularly fruitful for economic theory since the early works of Slutsky, Hicks, and Samuelson ; they have been formulated in terms of a matrix of "compensated" terms and they concern the properties of partial derivatives of the demand function in some neighborhood of the equilibrium. We now discuss this matrix and its applications.
|Item Type:||MPRA Paper|
|Original Title:||Properties of critical points and operators in economics|
|Keywords:||Antononelli; Slutsky; Hicks; Samuelson; equilibrium; contstrained maximization; maximization; matrix; compensated; economic theory; Slutsky-Hicks-Samuelson equation; utility analysis; demand; optimization; topological; topology|
|Subjects:||C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C68 - Computable General Equilibrium Models
B - History of Economic Thought, Methodology, and Heterodox Approaches > B1 - History of Economic Thought through 1925
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C61 - Optimization Techniques; Programming Models; Dynamic Analysis
|Depositing User:||Graciela Chichilnisky|
|Date Deposited:||29. Mar 2008 07:02|
|Last Modified:||13. Feb 2013 05:26|
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