Universal Algorithm for Trading in Stock Market Based on the Method of Calibration

We present a universal method for algorithmic trading in Stock Market which performs asymptotically at least as well as any stationary trading strategy that computes the investment at each step using a continuous function of the side information. In the process of the game, a trader makes decisions using predictions computed by a randomized well-calibrated algorithm. We use Dawid’s notion of calibration with more general checking rules and some modification of Kakade and Foster’s randomized rounding algorithm for computing the well-calibrated forecasts. The method of randomized calibration is combined with Vovk’s method of defensive forecasting in RKHS. Unlike in statistical theory, no stochastic assumptions are made about the stock prices.