Chapter

Optimal Programming

S. N. Afriat

in Logic of Choice and Economic Theory

Published in print November 1987 | ISBN: 9780198284611
Published online November 2003 | e-ISBN: 9780191595844 | DOI: http://dx.doi.org/10.1093/0198284616.003.0024
 Optimal Programming

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This is the first of five chapters on optimal programming (the typical mathematics of economics) and related issues as related to choice making. It introduces the general ideas of optimal programming in economic terms, with reference to the programming problem of a firm. A theorem is proved that is basic to the entire subject, and requires no special assumptions about the programming functions. The ten sections of the chapter are: bounds, limits and maxima; programming problem of a firm; optimal programming theorem; input–output; output limit function; support gradients and marginal values; complementarity; shadow price decentralization; proof of the theorem; and Lagrange multipliers.

Keywords: choice; complementarity; economic theory; input–output; Lagrange multipliers; mathematical economics; optimal programming; output limit function; shadow price

Chapter.  11332 words.  Illustrated.

Subjects: Microeconomics

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