Reversals of chance in paradoxical games

Details Reversals of chance in paradoxical games Reversals of chance in paradoxical games

2006-01-17

arxiv.org/abs/math/0601404v1

Mathematics

Probability

11 pages, 9 figures

Scientific paper

10.1016/j.physa.2006.03.038

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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