2008/01/08 by Vladimir Vovk, Vovk, Vladimir
Economics, Econometrics and Finance · Mathematics · #60G05 #60G44 #Complex Systems and Time Series Analysis #FOS: Mathematics #Financial Risk and Volatility Modeling #Probability (math.PR) #Stochastic processes and financial applications #math.PR #msc:60G05 #msc:60G44
paper · pdf · doi:10.48550/arxiv.0801.1309
17 pages
arxiv created 2008/01/08 · openalex publication_date 2008/01/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.