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Loeb Measure from the Point of View of a Coin Flipping Game

 

作者: Vladimir Kanovei,   Michael Reeken,  

 

期刊: Mathematical Logic Quarterly  （WILEY Available online 1996）
卷期: Volume 42, issue 1  

页码: 19-26

 

ISSN:0942-5616

 

年代: 1996

 

DOI:10.1002/malq.19960420103

 

出版商: WILEY‐VCH Verlag Berlin GmbH

 

关键词: Nonstandard analysis;Loeb measure;Hyperfinite games

 

数据来源: WILEY

 

摘要:

AbstractA hyperfinitely long coin flipping game between the Gambler and the Casino, associated with a given setA, is considered. It turns out that the Gambler has a winning strategy if and only ifAhas Loeb measure 0. The Casino has a winning strategy if and only ifAcontains an internal subset of positive Loeb measure.Mathematics Subject Classification:03H05, 03E15.

 

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