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Non-linear Programming

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Abstract

The problem of nonlinear programming is that of maximizing (or minimizing) a given function subject to a set of inequality constraints. Such problems arise in many areas of economics, such as the microeconomic theory of the household and the firm. It has also had wide applicability in game theory and operations research. Historically, the subject developed from the work of mathematicians, primarily John in studying extremum problems with inequalities as side constraints and Kuhn and Tucker who made the fundamental contribution of characterizing the nature of the solution to such problems (John 1948; Kuhn and Tucker 1951).

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Intriligator, M.D. (2018). Non-linear Programming. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_1384

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