Reversals of chance in paradoxical games
Probability
2009-11-11 v1 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.math/0601404,
title = {Reversals of chance in paradoxical games},
author = {P. Amengual and P. Meurs and B. Cleuren and R. Toral},
journal= {arXiv preprint arXiv:math/0601404},
year = {2009}
}
Comments
11 pages, 9 figures