Game-theoretic Brownian motion

Details Game-theoretic Brownian motion Game-theoretic Brownian motion

2008-01-08

arxiv.org/abs/0801.1309v1

Mathematics

Probability

17 pages

Scientific paper

This paper suggests a perfect-information game, along the lines of Levy's
characterization of Brownian motion, that formalizes the process of Brownian
motion in game-theoretic probability. This is perhaps the simplest situation
where probability emerges in a non-stochastic environment.

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