Parrondo’s paradox and complementary Parrondo processes |
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Authors: | Wayne Wah Ming Soo Kang Hao Cheong |
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Institution: | National University of Singapore High School of Mathematics and Science, 20 Clementi Avenue 1, 129957 Singapore, Singapore |
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Abstract: | Parrondo’s Paradox has gained a fair amount of attention due to it being counter-intuitive. Given two stochastic processes, both of which are losing in nature, it is possible to have an overall net increase in capital by periodically or randomly alternating between the two processes. In this paper, we analyze the paradox with a different approach, in which we start with one process and seek to derive its complementary process. We will also state the conditions required for this to occur. Possible applications of our results include the development of future models based on the paradox. |
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Keywords: | Stochastic matrices Parrondo&rsquo s paradox Stochastic processes |
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