Analytical Expressions for Parrondo Games

Details Analytical Expressions for Parrondo Games Analytical Expressions for Parrondo Games

2002-10-23

arxiv.org/abs/physics/0210094v2

Physics

Classical Physics

6 pages Changed title, abstract, refs + corrected typos and one algebraic mistake (optimal value approximation)

Scientific paper

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.

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