✦ LIBER ✦

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

✍ Scribed by Vladimir Kanovei; Michael Reeken

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 458 KB
Volume: 42
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19960420103

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A hyperfinitely long coin flipping game between the Gambler and the Casino, associated with a given set A, is considered. It turns out that the Gambler has a winning strategy if and only if A has Loeb measure 0. The Casino has a winning strategy if and only if A contains an internal subset of positive Loeb measure.

Mathematics Subject Classification: 03H05, 03E15.

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