Figure 3 - uploaded by Abhijit Kar Gupta
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Capital dependent game. The mean capitals against number of turns are plotted for four different cases. For games A or B played separately, it is clearly seen that the mean capital is decreasing monotonically and for the combined games (AABBAABB sequence or with random A and B), that is increasing monotonically.
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Noise is known to disrupt a preferred act or motion. Yet, noise and broken symmetry in asymmetric potential, together, can make a directed motion possible, in fact essential in some cases. In Biology, in order to understand the motions of molecular motors in cells ratchets are imagined as useful models. Besides, there are optical ratchets and quant...
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... discussed above, if we take a combination of game A and B, such that we alternate the games like AABBAABB….or in some other sequence or even in a random fashion, it is seen that the resulting capital goes on increasing with the number of turns they are played. In figure 3, we illustrate with numerical results for different situations where the average capital is plotted with the number of times the games ...
