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On the Smoothness of Optimal Paths

Author

Listed:
  • Blot, J.
  • Crettez, B.

Abstract

We study the differentiability of order k greater than or equal to 1 of optimal trajectories of dynamic economic models with respect various parameters like initial stock, discount rate, ... We use the framework of Babach spaces of sequences and we use Differential Calculus on operators between these spaces. We obtain an alternative condition to the classical Block Diagonal Dominant condition.

Suggested Citation

  • Blot, J. & Crettez, B., 2000. "On the Smoothness of Optimal Paths," Papiers d'Economie Mathématique et Applications 2000.16, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:fth:pariem:2000.16
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    More about this item

    Keywords

    ECONOMIC MODELS ; DISCOUNT RATE ; OPTIMAL CONTROL;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D99 - Microeconomics - - Micro-Based Behavioral Economics - - - Other
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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