S. N. Afriat
- Published in print:
- 1987
- Published Online:
- November 2003
- ISBN:
- 9780198284611
- eISBN:
- 9780191595844
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198284616.003.0024
- Subject:
- Economics and Finance, Microeconomics
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 ...
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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.Less
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.