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

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

2008-02-29

arxiv.org/abs/0802.4311v2

Stochastic Analysis and Applications, Vol.28 (2010), 842-861

Economy

Quantitative Finance

Trading and Market Microstructure

Scientific paper

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 of these strategies, a gambler or an investor can exploit arbitrary patterns of deviations of nature's moves from independent Bernoulli trials. We then apply our scheme to asset trading games in continuous time and derive the exponential growth rate of the investor's capital when the variation exponent of the asset price path deviates from two.

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