摘要：Parrondos paradox is about a paradoxical game and gambling. Imagine two kinds of probability dependent games A and B, mediated by coin tossing. Each of them, when played separately and repeatedly, results in losing which means the average wealth keeps on decreasing. The paradox appears when the games are played together in random or periodic sequences; the combination of two losing games results into a winning game! While the counterintuitive result is interesting in itself, the model can very well be thought of a discretized version of Brownian flashing ratchets which are employed to understand noise induced order. There are a plenty of examples from physics to biology and in social sciences where the stochastic thermal fluctuations or other kinds actually help achieving positive movements. It is in this context, the Brownian ratchets and the kind of prototype games may be explored in detail. In our study, we examine various random combinations of losing probabilistic games in order to understand how and how far the losing combinations result in winning. Further, we devise an alternative model to study the similar paradox and examine the idea of paradox in it. The work is mostly done by computer simulations. Analytical calculations to support this work, is under progress.
关键词：Paradox;Ratchet;Brownian;Game;Gamble;Noise;Molecular motor
