Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Mar, 2007, Volume 75, Issue 2

The Comparative Statics of Constrained Optimization Problems

https://doi.org/10.1111/j.1468-0262.2006.00752.x
p. 401-431

John K.‐H Quah

This paper develops and applies some new results in the theory of monotone comparative statics. Let be a real‐valued function defined on and consider the problem of maximizing () when is constrained to lie in some subset of . We develop a natural way to order the constraint sets and find the corresponding restrictions on the objective function that guarantee that optimal solutions increase with the constraint set. We apply our techniques to problems in consumer, producer, and portfolio theory. We also use them to generalize Rybcsynski's theorem and the LeChatelier principle.


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Supplement to "The Comparative Statics of Constrained Optimization Problems"

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