The generality of the zero-one laws

Written by

Akimichi Takemura, Vladimir Vovk, Glenn Shafer

Glenn Shafer
Dean
Rutgers Business School
gshafer@business.rutgers.edu

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Abstract

 We prove game-theoretic generalizations of some well-known zero-one laws. Our proofs make the martingales behind the laws explicit, and our results illustrate howmartingale arguments can have implications going beyond measure-theoretic probability.