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July, 1974 Remarks on Measurable Selections
R. B. Darst
Ann. Statist. 2(4): 845-847 (July, 1974). DOI: 10.1214/aos/1176342775

Abstract

Many authors have studied the problem of obtaining an optimal plan for a dynamic programming problem or a stochastic game. In several of these works a maximal selection theorem of Dubins and Savage for u.s.c. (upper-semi-continuous) maps has played a key role. Our purpose is to relax the requirements that the maps be u.s.c. and still obtain maximal or at least nearly maximal selections.

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R. B. Darst. "Remarks on Measurable Selections." Ann. Statist. 2 (4) 845 - 847, July, 1974. https://doi.org/10.1214/aos/1176342775

Information

Published: July, 1974
First available in Project Euclid: 12 April 2007

zbMATH: 0286.93033
MathSciNet: MR404563
Digital Object Identifier: 10.1214/aos/1176342775

Subjects:
Primary: 49A25
Secondary: 49A30 , 93E05

Keywords: Borel map , dynamic programming , optimal plan , selection theorem , stochastic game , upper semicontinuous map

Rights: Copyright © 1974 Institute of Mathematical Statistics

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Vol.2 • No. 4 • July, 1974
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