Analytical Expressions for Parrondo Games
经典物理
2007-05-23 v2 综合物理
摘要
We present some new analytical expressions for the so-called Parrondo effect, where simple coin-flipping games with negative expected value are combined into a winning game. Parrondo games are state-dependent. By identifying the game state variable, we can compute the stationary game state probabilities. Mixing losing games increases the probability of entering into a game state with positive value, as can be seen clearly from our analytical expressions for the Parrondo game value.
关键词
引用
@article{arxiv.physics/0210094,
title = {Analytical Expressions for Parrondo Games},
author = {Lars Rasmusson and Magnus Boman},
journal= {arXiv preprint arXiv:physics/0210094},
year = {2007}
}
备注
6 pages Changed title, abstract, refs + corrected typos and one algebraic mistake (optimal value approximation)