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Nonstandard discretization and the Loeb extension of a family of measures

✍ Scribed by V. G. Troitskiî


Publisher
SP MAIK Nauka/Interperiodica
Year
1993
Tongue
English
Weight
527 KB
Volume
34
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.


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Loeb Measure from the Point of View of a
✍ Vladimir Kanovei; Michael Reeken 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 458 KB

## 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