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Analytical Expressions for Parrondo Games

Lars Rasmusson·Magnus Boman
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Abstract

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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BibTeXRIS

Lars Rasmusson, Magnus Boman. 2002-12-02. Analytical Expressions for Parrondo Games. https://arxiv.org/abs/physics/0210094

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