Title
Existence and Uniqueness of a Fixed Point for the Bellman Operator in Deterministic Dynamic Programming
Abstract
We study existence and uniqueness of a fixed point for the Bellman operator in deterministic dynamic programming. Without any topo- logical assumption, we show that the Bellman operator has a unique fixed point in a restricted domain, that this fixed point is the value function, and that the value function can be computed by value iter-ation.
Keywords
Dynamic programming, Bellman operator, Value function, Fixed point
JEL Classification
C61
Inquiries
Takashi KAMIHIGASHI
Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan
Rokkodai-cho, Nada-ku, Kobe
657-8501 Japan
Phone: +81-78-803-7036
FAX: +81-78-803-7059
Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan
Rokkodai-cho, Nada-ku, Kobe
657-8501 Japan
Phone: +81-78-803-7036
FAX: +81-78-803-7059