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Reversals of chance in paradoxical games

P. Amengual·P. Meurs·B. Cleuren·R. Toral
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Abstract

We present two collective games with new paradoxical features when they are combined. Besides reproducing the so--called Parrondo effect, where a winning game is obtained from the alternation of two fair games, a new effect appears, i.e., there exists a current inversion when varying the mixing probability between the games. We present a detailed study by means of a discrete--time Markov chain analysis, obtaining analytical expressions for the stationary probabilities for a finite number of players. We also provide some qualitatively insight into this new current inversion effect.

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P. Amengual, P. Meurs, B. Cleuren, R. Toral. 2006-01-17. Reversals of chance in paradoxical games. https://doi.org/10.1016/j.physa.2006.03.038

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