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Superprophet inequalities for independent random variables

Part of: Stochastic processes Sequential methods

Published online by Cambridge University Press:  14 July 2016

Rainer Wittmann
Rainer Wittmann*
Affiliation:
Universität Göttingen
*
∗Postal address: Institut für Mathematische Stochastik, Universität Göttingen, Lotzestr. 13, D-37083 Göttingen, Germany.
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Abstract

As well as having complete knowledge of the future, a superprophet can also alter the order of observation as it is presented to a player without foresight, whose strategy is known to the prophet. It is shown that a superprophet can only do twice as well as his counterpart, if the underlying random sequence is independent.

Keywords

PROPHET INEQUALITIESOPTIMAL STOPPING

MSC classification

Primary: 60G40: Stopping times; optimal stopping problems; gambling theory
Secondary: 62L15: Optimal stopping
Type
Short Communications
Information
Journal of Applied Probability , Volume 33 , Issue 3 , September 1996 , pp. 904 - 908
Copyright
Copyright © Applied Probability Trust 1996 

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References

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