Multistep Bayesian strategy in coin-tossing games and its application to asset trading games in continuous time

Kei Takeuchi, Masayuki Kumon, Akimichi Takemura

We study multistep Bayesian betting strategies in coin-tossing games in the framework of game-theoretic probability of Shafer and Vovk (2001). We show that by a countable mixture o…