悖论博弈中的机会反转
Reversals of chance in paradoxical games
摘要:
我们提出了两个新的矛盾的特点,当他们结合起来的集体游戏。除了再现所谓的Parrondo效应,即从两个公平游戏的交替中获得获胜游戏之外,还出现了一种新的效应,即,当改变游戏之间的混合概率时,存在电流反转。我们提出了一个详细的研究,通过一个离散时间马尔可夫链分析,获得分析表达式的平稳概率为有限数量的球员。我们还提供了一些定性的见解,这种新的电流反转效果。
英文摘要:
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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