The Annals of Probability

An Example in which Stationary Strategies are not Adequate

Lester E. Dubins and William D. Sudderth

Full-text: Open access

Abstract

An example is given of a gambling problem such that, on the one hand, for every initial state, there is a strategy which brings one to the goal with arbitrarily high probability and, on the other hand, for some initial state, every stationary strategy reaches the goal with probability zero.

Article information

Source
Ann. Probab., Volume 3, Number 4 (1975), 722-725.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176996312

Digital Object Identifier
doi:10.1214/aop/1176996312

Mathematical Reviews number (MathSciNet)
MR378098

Zentralblatt MATH identifier
0317.90078

JSTOR
links.jstor.org

Subjects
Primary: 60G99: None of the above, but in this section
Secondary: 62C05: General considerations

Keywords
6000 Gambling stationary strategies probability finite additivity dynamic programming control theory decision theory

Citation

Dubins, Lester E.; Sudderth, William D. An Example in which Stationary Strategies are not Adequate. Ann. Probab. 3 (1975), no. 4, 722--725. doi:10.1214/aop/1176996312. https://projecteuclid.org/euclid.aop/1176996312


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