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arXiv · 2108.10571

Envelope theorems for static optimization and calculus of variations

Joël Blot·Hasan Yilmaz
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Abstract

We establish differentiability properties of the value function of problems of Static Optimization in an abstract infinite dimensional setting and we apply that to problems of Calculus of Variations. We lighten the assumptions of existing results, notably by using G{\^a}teaux and Hadamard differentials. Moreover we use recently established Multipliers Rules.

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Joël Blot, Hasan Yilmaz. 2021-08-24. Envelope theorems for static optimization and calculus of variations. https://arxiv.org/abs/2108.10571

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