609 citations · 1.8k across the 89 of their papers we have counts for
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math.PR2008★ 1 cited
The generality of the zero-one laws
Akimichi Takemura, Vladimir Vovk, Glenn Shafer
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 how martingale argume…
math.PR2008★ 6 cited
Game-theoretic Brownian motion
Vladimir Vovk
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 prob…