%0 Journal Article %T Game-theoretic Brownian motion %A Vladimir Vovk %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0801.1309v1