Shafer, Glenn, Vovk, Vladimir and Takemura, Akimichi (2009) Levy's zero-one law in game-theoretic probability.
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We prove a game-theoretic version of Levy's zero-one law, and deduce several corollaries from it, including non-stochastic versions of Kolmogorov's zero-one law, the ergodicity of Bernoulli shifts, and a zero-one law for dependent trials. Our secondary goal is to explore the basic definitions of game-theoretic probability theory, with Levy's zero-one law serving a useful role.
This is a Submitted version This version's date is: 3/5/2009 This item is not peer reviewed
https://repository.royalholloway.ac.uk/items/38560011-bc56-007f-cf21-2e282411a49c/4/
Deposited by Research Information System (atira) on 03-Jul-2014 in Royal Holloway Research Online.Last modified on 03-Jul-2014
26 pages