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Everything about Envelope theorem
Theorem in mathematics and economics
In mathematics and economics, the envelope theorem is a major result about the differentiability properties of the value function of a parameterized optimization problem. As we change parameters of the objective, the envelope theorem shows that, in a certain sense, changes in the optimizer of the objective do not contribute to the change in the objective function. The envelope theorem is an important tool for comparative statics of optimization models. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Envelope theoremA 5-minute orientation
- Skim a recent paper: The Converse Envelope TheoremInfluential work since 2022
- Pick up a classic book: Game TheoryThe most-reprinted book on the subject
- Read the landmark paper: Evolution theorem for a class of perturbed envelope soliton solutionsCited 263 times
- Go sideways: Densely defined operatorA closely related topic
- Go sideways: Representer theoremA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Evolution theorem for a class of perturbed envelope soliton solutions
The envelope theorem in dynamic optimization
Large-Scale Multibaseline Phase Unwrapping: Interferogram Segmentation Based on Multibaseline Envelope-Sparsity Theorem
The Generalized Envelope Theorem and Price Uncertainty
The le chatelier principle as a corollary to a generalized envelope theorem
The Envelope Theorem and Comparative Statics of Nash Equilibria
The envelope theorem for locally differentiable Nash equilibria of finite horizon differential games
Coarsening kinetics and the envelope theorem
🆕 Influential since 2022
📚 Books worth reading
Game TheoryMichael Maschler, Eilon Solan · 2013
Putting Auction Theory to WorkPaul R. Milgrom · 1998
Clifford Algebras and Lie TheoryEckhard Meinrenken · 2013- 📕Cohomology for quantum groups via the geometry of the nullconeChristopher P. Bendel · 2014
- 📕The envelope theorem, joint costs, and equilibriumAnthony Horsley · 1989
- 📕An envelope theorem and necessary conditions for a problem of Mayer with variable end points ..Moffatt Grier Boyce · 1930
- 📕An envelope theorem and necessary conditions for a problem of Mayer with variable end points ... by Moffatt Grier BoyceMoffatt Grier Boyce · 1930
- 📕Envelopes of holomorphy and approximation theoremsDaniel C. Jupiter · 2003
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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