Arbeitspapier

Envelope theorems for non-smooth and non-concave optimization

We study general dynamic programming problems with continuous and discrete choices and general constraints. The value functions may have kinks arising (1) at indifference points between discrete choices and (2) at constraint boundaries. Nevertheless, we establish a general envelope theorem: first-order conditions are necessary at interior optimal choices. We only assume differentiability of the utility function with respect to the continuous choices. The continuous choice may be from any Banach space and the discrete choice from any non-empty set.

Sprache
Englisch

Erschienen in
Series: Working Paper ; No. 62

Klassifikation
Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy: General (includes Measurement and Data)
Thema
envelope theorem
differentiability
dynamic programming
discrete choice
non-smooth analysis

Ereignis
Geistige Schöpfung
(wer)
Clausen, Andrew
Strub, Carlo
Ereignis
Veröffentlichung
(wer)
University of Zurich, Department of Economics
(wo)
Zurich
(wann)
2012

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Clausen, Andrew
  • Strub, Carlo
  • University of Zurich, Department of Economics

Entstanden

  • 2012

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